Alan C. Lazer - Author Profile

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Lazer, Alan C. (b. 1938 d. 2020)

Author ID:	lazer.alan-c
Published as:	Lazer, A. C.; Lazer, Alan C.; Lazer, Alan; Lazer, A. more...less
Further Spellings:	Lazer, Alan Cecil
External Links:	MGP · dblp

Documents Indexed:	111 Publications since 1965
	2 Contributions as Editor
Biographic References:	2 Publications
Co-Authors:	32 Co-Authors with 97 Joint Publications
	600 Co-Co-Authors

all top 5

Co-Authors

15	single-authored
39	McKenna, Patrick Joseph
28	Ahmad, Shair
4	Castro, Alfonso
3	Bhatia, Nam Parshad
3	Landesman, Edward M.
3	Solimini, Sergio
2	Choi, Yung-Sze
2	Hart, D. C.
2	Korman, Philip L.
2	Leach, D. E.
2	Sanchez, David A.
2	Szegö, Giorgio
2	Tineo, Antonio R.
1	Anderson, Larry R.
1	Berkey, Dennis D.
1	Cac, Nguyen Phuong
1	Cosner, Chris
1	Fonda, Alessandro
1	Garcia, Felix L.
1	Hastings, Stuart P.
1	Hess, Peter
1	Jiang, Jifa
1	Keener, Marvin S.
1	Leckband, Mark
1	Leighton, Walter jun.
1	Leung, Anthony Wing-Kwok
1	Li, Yi
1	Meyers, David R.
1	Murio, Diego A.
1	Paul, Jerome L.
1	Pellico, R. H.
1	Zhao, Jiandong

all top 5

Serials

12	Journal of Mathematical Analysis and Applications
12	Nonlinear Analysis. Theory, Methods & Applications
8	Proceedings of the American Mathematical Society
6	Journal of Differential Equations
5	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4	Annali di Matematica Pura ed Applicata. Serie Quarta
4	Differential and Integral Equations
4	SIAM Journal on Mathematical Analysis
3	Pacific Journal of Mathematics
3	Transactions of the American Mathematical Society
2	Mathematics Magazine
2	Journal of Computational and Applied Mathematics
2	Michigan Mathematical Journal
2	Communications in Partial Differential Equations
2	SIAM Journal on Applied Mathematics
2	Bollettino della Unione Matemàtica Italiana. Serie VI. B
2	Electronic Journal of Differential Equations (EJDE)
1	American Mathematical Monthly
1	Applicable Analysis
1	Houston Journal of Mathematics
1	Journal of the Australian Mathematical Society, Series B
1	Mathematical Methods in the Applied Sciences
1	ZAMP. Zeitschrift für angewandte Mathematik und Physik
1	Applied Mathematics and Computation
1	Czechoslovak Mathematical Journal
1	Indiana University Mathematics Journal
1	Journal für die Reine und Angewandte Mathematik
1	Revista Colombiana de Matemáticas
1	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1	Revista de Matemáticas Aplicadas
1	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1	SIAM Review
1	Nonlinear World
1	Discrete and Continuous Dynamical Systems
1	Nonlinear Analysis. Real World Applications
1	Mathematical Sciences Research Journal
1	Bollettino della Unione Matematica Italiana. Series V. B
1	Bulletin of the American Mathematical Society
1	Journal of Mathematics and Mechanics

all top 5

Fields

56	Ordinary differential equations (34-XX)
40	Partial differential equations (35-XX)
14	Biology and other natural sciences (92-XX)
9	Operator theory (47-XX)
8	Global analysis, analysis on manifolds (58-XX)
4	Mechanics of particles and systems (70-XX)
4	Mechanics of deformable solids (74-XX)
2	General and overarching topics; collections (00-XX)
2	Functions of a complex variable (30-XX)
2	Dynamical systems and ergodic theory (37-XX)
2	Numerical analysis (65-XX)
1	Linear and multilinear algebra; matrix theory (15-XX)
1	Real functions (26-XX)
1	Approximations and expansions (41-XX)
1	Harmonic analysis on Euclidean spaces (42-XX)
1	Integral equations (45-XX)
1	Functional analysis (46-XX)
1	Calculus of variations and optimal control; optimization (49-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

102 Publications have been cited 3,968 times in 2,950 Documents	Cited by ▼	Year ▼
Large-amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis. Zbl 0725.73057 Lazer, A. C.; McKenna, P. J.	406	1990
On a singular nonlinear elliptic boundary-value problem. Zbl 0727.35057 Lazer, A. C.; McKenna, P. J.	395	1991
Nonlinear perturbations of linear elliptic boundary value problems at resonance. Zbl 0193.39203 Landesman, E. M.; Lazer, A. C.	343	1970
On periodic solutions of nonlinear differential equations with singularities. Zbl 0616.34033 Lazer, A. C.; Solimini, S.	156	1987
Asymptotic behavior of solutions of boundary blow-up problems. Zbl 0811.35010 Lazer, A. C.; McKenna, P. J.	117	1994
Stable coexistence states in the Volterra-Lotka competition model with diffusion. Zbl 0562.92012 Cosner, Chris; Lazer, A. C.	110	1984
Bounded perturbations of forced harmonic oscillators at resonance. Zbl 0194.12003 Lazer, A. C.; Leach, D. E.	107	1969
Elementary critical point theory and perturbations of elliptic boundary value problems at resonance. Zbl 0351.35036 Ahmad, S.; Lazer, A. C.; Paul, J. L.	102	1976
On a problem of Bieberbach and Rademacher. Zbl 0833.35052 Lazer, A. C.; McKenna, P. J.	99	1993
On singular boundary value problems for the Monge-Ampère operator. Zbl 0856.35042 Lazer, A. C.; McKenna, P. J.	87	1996
Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system. Zbl 0955.34041 Ahmad, Shair; Lazer, Alan C.	81	2000
Critical point theory and the number of solutions of a nonlinear Dirichlet problem. Zbl 0426.35038 Castro, Alfonso; Lazer, A. C.	81	1979
Nontrivial solutions of operator equations and Morse indices of critical points of min-max type. Zbl 0667.47036 Lazer, A. C.; Solimini, S.	80	1988
Homoclinic orbits for a class of symmetric Hamiltonian systems. Zbl 0788.34042 Korman, Philip; Lazer, Alan C.	79	1994
On the number of solutions of a nonlinear Dirichlet problem. Zbl 0496.35039 Lazer, A. C.; McKenna, P. J.	73	1981
An application of topological degree to the periodic competings species problem. Zbl 0625.92018 Alvarez, Carlos; Lazer, Alan C.	73	1986
The behavior of solutions of the differential equation \(y'''+p(x)y'+q(x)y = 0\). Zbl 0143.31501 Lazer, A. C.	73	1966
On Schauder’s fixed point theorem and forced second-order nonlinear oscillations. Zbl 0155.14001 Lazer, A. C.	70	1968
Global bifurcation and a theorem of Tarantello. Zbl 0797.34021 Lazer, A. C.; McKenna, P. J.	68	1994
Large scale oscillatory behaviour in loaded asymmetric systems. Zbl 0633.34037 Lazer, A. C.; McKenna, P. J.	67	1987
Application of a lemma on bilinear forms to a problem in nonlinear oscillations. Zbl 0257.34041 Lazer, A. C.	61	1972
On an abstract competition model and applications. Zbl 0743.35033 Hess, Peter; Lazer, Alan C.	61	1991
On a conjecture related to the number of solutions of a nonlinear Dirichlet problem. Zbl 0533.35037 Lazer, A. C.; McKenna, P. J.	59	1983
Asymptotic behaviour of solutions of periodic competition diffusion system. Zbl 0686.35060 Ahmad, Shair; Lazer, Alan C.	59	1989
Existence and stability of large scale nonlinear oscillations in suspension bridges. Zbl 0677.73046 Glover, J.; Lazer, A. C.; McKenna, P. J.	56	1989
Necessary and sufficient average growth in a Lotka-Volterra system. Zbl 0934.34037 Ahmad, Shair; Lazer, Alan C.	46	1998
The permanence and global attractivity in a nonautonomous Lotka–Volterra system. Zbl 1085.34040 Zhao, Jiandong; Jiang, Jifa; Lazer, Alan C.	41	2004
On periodically perturbed conservative systems. Zbl 0187.34501 Lazer, A. C.; Sanchez, D. A.	38	1969
On steady state solutions of a system of reaction-diffusion equations from biology. Zbl 0488.35039 Lazer, A. C.; McKenna, P. J.	35	1982
Multiplicity results for a class of semilinear elliptic and parabolic boundary value problems. Zbl 0584.35053 Lazer, A. C.; McKenna, P. J.	34	1985
Existence, uniqueness, and stability of oscillations in differential equations with asymmetric nonlinearities. Zbl 0725.34042 Lazer, A. C.; McKenna, P. J.	34	1989
On a nonlinear two-point boundary value problem. Zbl 0195.37701 Lazer, A. C.; Leach, D. E.	32	1969
Linear eigenvalues and a nonlinear boundary value problem. Zbl 0204.12002 Landesman, E. M.; Lazer, A. C.	32	1970
A symmetry theorem and applications to nonlinear partial differential equations. Zbl 0666.47038 Lazer, A. C.; McKenna, P. J.	32	1988
Average growth and extinction in a competitive Lotka–Volterra system. Zbl 1088.34047 Ahmad, Shair; Lazer, Alan C.	30	2005
On saddle point problems in the calculus of variations, the Rity algorithm, and monotone convergence. Zbl 0354.35004 Lazer, A. C.; Landesman, E. M.; Meyers, David R.	30	1975
Characteristic exponents and diagonally dominant linear differential systems. Zbl 0215.43901 Lazer, A. C.	28	1971
Subharmonic solutions of conservative systems with nonconvex potentials. Zbl 0752.34027 Fonda, A.; Lazer, A. C.	27	1992
Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues. II. Zbl 0654.35082 Lazer, A. C.; McKenna, P. J.	25	1986
A semi-Fredholm principle for periodically forced systems with homogeneous nonlinearities. Zbl 0683.34027 Lazer, A. C.; Mckenna, P. J.	25	1989
Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues. Zbl 0572.35036 Lazer, A. C.; McKenna, P. J.	24	1985
On the existence of stable periodic solutions of differential equations of Duffing type. Zbl 0714.34067 Lazer, A. C.; McKenna, P. J.	23	1990
On nonautonomous \(n\)-competing species problems. Zbl 0859.34033 Ahmad, Shair; Lazer, A. C.	22	1995
An elementary approach to traveling front solutions to a system of \(N\) competition-diffusion equations. Zbl 0737.35029 Ahmad, Shair; Lazer, A. C.	22	1991
Average growth and total permanence in a competitive Lotka-Volterra System. Zbl 1162.34329 Ahmad, Shair; Lazer, Alan C.	22	2006
An \(n\)-dimensional extension of the Sturm separation and comparison theory to a class of nonselfadjoint systems. Zbl 0409.34029 Ahmad, Shair; Lazer, A. C.	19	1978
Some remarks on a singular elliptic boundary value problem. Zbl 0940.35089 Choi, Y. S.; Lazer, A. C.; McKenna, P. J.	18	1998
On species extinction in an autonomous competition model. Zbl 0846.34043 Ahmad, Shair; Lazer, Alan C.	18	1996
Multiple solutions of two point boundary value problems with jumping nonlinearities. Zbl 0576.34017 Hart, D. C.; Lazer, A. C.; McKenna, P. J.	18	1985
On a singular quasilinear anisotropic elliptic boundary value problem. Zbl 0835.35049 Choi, Y. S.; Lazer, A. C.; McKenna, P. J.	16	1995
On homoclinic and heteroclinic orbits of Hamiltonian systems. Zbl 0897.34045 Korman, P.; Lazer, A. C.; Li, Y.	15	1997
On periodic solutions of weakly coupled systems of differential equations. Zbl 0487.34037 Castro, Alfonso; Lazer, Alan C.	15	1981
Results on periodic solutions of parabolic equations suggested by elliptic theory. Zbl 0501.35005 Castro, Alfonso; Lazer, Alan C.	14	1982
Multiplicity results for a semilinear boundary value problem with the nonlinearity crossing higher eigenvalues. Zbl 0582.35049 Lazer, A. C.; McKenna, P. J.	13	1985
Applications of a max-min principle. Zbl 0356.35073 Castro, Alfonso; Lazer, A. C.	13	1976
On the components of extremal solutions of second order systems. Zbl 0384.34021 Ahmad, Shair; Lazer, Alan C.	13	1977
Periodic bouncing for a forced linear spring with obstacle. Zbl 0757.34033 Lazer, A. C.; McKenna, P. J.	11	1992
Multiplicity of solutions of nonlinear boundary value problems. Zbl 0615.34011 Hart, D. C.; Lazer, A. C.; McKenna, P. J.	11	1986
On global weak attractors in dynamical systems. Zbl 0147.23101 Bhatia, Nam P.; Lazer, Alan C.; Szegö, George P.	10	1966
Monotone scheme for finite difference equations concerning steady-state prey-predator interactions. Zbl 0494.65052 Lazer, Alan C.; Leung, Anthony W.; Murio, Diego A.	10	1982
On the oscillatory behavior of a class of linear third order differential equations. Zbl 0167.07903 Ahmad, S.; Lazer, A. C.	9	1969
Small periodic perturbations of a class of conservative systems. Zbl 0287.34039 Lazer, A. C.	9	1973
Multiplicity of solutions of nonlinear boundary value problems with nonlinearities crossing several higher eigenvalues. Zbl 0588.35036 Lazer, A. C.; McKenna, P. J.	9	1986
A stability for the differential equation \(y''+p(x) y = 0\). Zbl 0125.32501 Lazer, A. C.	9	1965
Critical point theory and a theorem of Amaral and Pera. Zbl 0603.34036 Ahmad, S.; Lazer, A.	9	1984
Periodic equilibria under periodic harvesting. Zbl 0539.92026 Lazer, A. C.; Sanchez, D. A.	8	1984
On nth-order Sturmian theory. Zbl 0444.34036 Ahmad, Shair; Lazer, Alan C.	8	1980
On a property of nonautonomous Lotka-Volterra competition model. Zbl 0930.34038 Ahmad, Shair; Lazer, A. C.	7	1999
Some remarks on parabolic solutions of parabolic differential equations. Zbl 0551.35044 Lazer, Alan C.	7	1982
A new generalization of the Sturm comparison theorem to selfadjoint systems. Zbl 0379.34006 Ahmad, Shair; Lazer, Alan C.	7	1978
Positive operators and Sturmian theory of nonselfadjoint second-order systems. Zbl 0454.34029 Ahmad, Shair; Lazer, Alan C.	7	1978
On an extension of Sturm’s comparison theorem to a class of nonselfadjoint second-order systems. Zbl 0454.34031 Ahmad, Shair; Lazer, Alan C.	7	1980
Non-linear flexings in a periodically forced floating beam. Zbl 0723.35079 Lazer, A. C.; McKenna, P. J.	7	1991
On travelling waves in a suspension bridge model as the wave speed goes to zero. Zbl 1228.34065 Lazer, A. C.; McKenna, P. J.	7	2011
A second look at the first result of Landesman-Lazer type. Zbl 0970.34033 Lazer, Alan C.	5	2000
Component properties of second order linear systems. Zbl 0362.34007 Ahmad, Shair; Lazer, A. C.	5	1976
Nontrivial solutions of operator equations and Morse indices of critical points of min-max type. Zbl 0619.58011 Lazer, A. C.; Solimini, S.	5	1986
Introduction to multiplicity theory for boundary value problems with asymmetric nonlinearities. Zbl 0674.35032 Lazer, Alan	5	1988
Traveling waves for a system of equations. Zbl 1153.34325 Ahmad, Shair; Lazer, Alan C.; Tineo, Antonio	5	2008
On second order, periodic, symmetric, differential systems having subharmonics of all sufficiently large orders. Zbl 0853.34039 Các, N. P.; Lazer, A. C.	4	1996
On the asymptotic behavior of solutions of the differential equation \(y^{(4)} = p(t)y\). Zbl 0157.14901 Hastings, S. P.; Lazer, A. C.	4	1968
Separated solutions of logistic equation with nonperiodic harvesting. Zbl 1366.34020 Ahmad, Shair; Lazer, Alan C.	4	2017
Application of the Poincaré-Bendixson theorem. Zbl 0144.22403 Bhatia, N. P.; Lazer, A. C.; Leighton, W.	4	1966
On Schauder’s fixed point theorem and forced second-order nonlinear oscillations. Zbl 0189.39001 Lazer, A. C.	3	1967
A singular elliptic boundary value problem. Zbl 0817.35027 Lazer, A. C.; McKenna, P. J.	3	1994
Recent multiplicity results for nonlinear boundary value problems. Zbl 0559.35029 Lazer, A. C.; McKenna, P. J.	3	1984
On an extension of the Sturm comparison theorem. Zbl 0479.34015 Ahmad, Shair; Lazer, Alan C.	3	1981
Topological degree and symmetric families of periodic solutions of nondissipative second-order systems. Zbl 0346.34022 Lazer, A. C.	3	1975
On a property of a generalized Kolmogorov population model. Zbl 1270.34040 Ahmad, Shair; Lazer, Alan C.	3	2013
Fredholm theory for periodic solutions of some semilinear p.d.e.s with homogeneous nonlinearities. Zbl 0712.35065 Lazer, A. C.; McKenna, P. J.	3	1990
Open problems in nonlinear ordinary boundary value problems arising from the study of large-amplitude periodic oscillations in suspension bridges. Zbl 0847.34024 Lazer, A. C.; McKenna, P. J.	2	1996
On the computation of periodic solutions of weakly nonlinear differential equations. Zbl 0173.18003 Lazer, A. C.	2	1967
Nonlinear periodic flexing in a floating beam. Zbl 0810.73024 Lazer, Alan C.; McKenna, P. J.	2	1994
On limitations to the solution set of some nonlinear problems. Zbl 0551.35040 Lazer, Alan C.; McKenna, P. J.	2	1982
On the asymptotic behavior of solutions of the differential equation \(y''+ p(x)y = 0\). Zbl 0134.30404 Lazer, A. C.	2	1965
On the solutions of a class of linear selfadjoint differential equations. Zbl 0211.39801 Anderson, Larry R.; Lazer, A. C.	1	1970
Differential equations. Proceedings of the Eight Fall Conference on Differential Equations Held at Oklahoma State University, Stillwater, October 1979. Zbl 0566.00006	1	1980
On multiple solutions of a nonlinear Dirichlet problem. Zbl 0603.35033 Lazer, A. C.; McKenna, P. J.	1	1980
On the role of Hopf’s maximum principle in elliptic Sturmian theory. Zbl 0424.35032 Ahmad, Shair; Lazer, Alan C.	1	1979
The fundamental theorem of algebra via the Fourier inversion formula. Zbl 1208.30008 Lazer, Alan C.; Leckband, Mark	1	2010
Separated solutions of logistic equation with nonperiodic harvesting. Zbl 1366.34020 Ahmad, Shair; Lazer, Alan C.	4	2017
An abstract theorem in nonlinear analysis. Zbl 1319.35042 Lazer, A. C.; McKenna, P. J.	1	2014
On a property of a generalized Kolmogorov population model. Zbl 1270.34040 Ahmad, Shair; Lazer, Alan C.	3	2013
On travelling waves in a suspension bridge model as the wave speed goes to zero. Zbl 1228.34065 Lazer, A. C.; McKenna, P. J.	7	2011
The fundamental theorem of algebra via the Fourier inversion formula. Zbl 1208.30008 Lazer, Alan C.; Leckband, Mark	1	2010
Traveling waves for a system of equations. Zbl 1153.34325 Ahmad, Shair; Lazer, Alan C.; Tineo, Antonio	5	2008
Average growth and total permanence in a competitive Lotka-Volterra System. Zbl 1162.34329 Ahmad, Shair; Lazer, Alan C.	22	2006
Average growth and extinction in a competitive Lotka–Volterra system. Zbl 1088.34047 Ahmad, Shair; Lazer, Alan C.	30	2005
The permanence and global attractivity in a nonautonomous Lotka–Volterra system. Zbl 1085.34040 Zhao, Jiandong; Jiang, Jifa; Lazer, Alan C.	41	2004
Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system. Zbl 0955.34041 Ahmad, Shair; Lazer, Alan C.	81	2000
A second look at the first result of Landesman-Lazer type. Zbl 0970.34033 Lazer, Alan C.	5	2000
On a property of nonautonomous Lotka-Volterra competition model. Zbl 0930.34038 Ahmad, Shair; Lazer, A. C.	7	1999
Necessary and sufficient average growth in a Lotka-Volterra system. Zbl 0934.34037 Ahmad, Shair; Lazer, Alan C.	46	1998
Some remarks on a singular elliptic boundary value problem. Zbl 0940.35089 Choi, Y. S.; Lazer, A. C.; McKenna, P. J.	18	1998
On homoclinic and heteroclinic orbits of Hamiltonian systems. Zbl 0897.34045 Korman, P.; Lazer, A. C.; Li, Y.	15	1997
On singular boundary value problems for the Monge-Ampère operator. Zbl 0856.35042 Lazer, A. C.; McKenna, P. J.	87	1996
On species extinction in an autonomous competition model. Zbl 0846.34043 Ahmad, Shair; Lazer, Alan C.	18	1996
On second order, periodic, symmetric, differential systems having subharmonics of all sufficiently large orders. Zbl 0853.34039 Các, N. P.; Lazer, A. C.	4	1996
Open problems in nonlinear ordinary boundary value problems arising from the study of large-amplitude periodic oscillations in suspension bridges. Zbl 0847.34024 Lazer, A. C.; McKenna, P. J.	2	1996
On nonautonomous \(n\)-competing species problems. Zbl 0859.34033 Ahmad, Shair; Lazer, A. C.	22	1995
On a singular quasilinear anisotropic elliptic boundary value problem. Zbl 0835.35049 Choi, Y. S.; Lazer, A. C.; McKenna, P. J.	16	1995
Asymptotic behavior of solutions of boundary blow-up problems. Zbl 0811.35010 Lazer, A. C.; McKenna, P. J.	117	1994
Homoclinic orbits for a class of symmetric Hamiltonian systems. Zbl 0788.34042 Korman, Philip; Lazer, Alan C.	79	1994
Global bifurcation and a theorem of Tarantello. Zbl 0797.34021 Lazer, A. C.; McKenna, P. J.	68	1994
A singular elliptic boundary value problem. Zbl 0817.35027 Lazer, A. C.; McKenna, P. J.	3	1994
Nonlinear periodic flexing in a floating beam. Zbl 0810.73024 Lazer, Alan C.; McKenna, P. J.	2	1994
On a problem of Bieberbach and Rademacher. Zbl 0833.35052 Lazer, A. C.; McKenna, P. J.	99	1993
Subharmonic solutions of conservative systems with nonconvex potentials. Zbl 0752.34027 Fonda, A.; Lazer, A. C.	27	1992
Periodic bouncing for a forced linear spring with obstacle. Zbl 0757.34033 Lazer, A. C.; McKenna, P. J.	11	1992
On a singular nonlinear elliptic boundary-value problem. Zbl 0727.35057 Lazer, A. C.; McKenna, P. J.	395	1991
On an abstract competition model and applications. Zbl 0743.35033 Hess, Peter; Lazer, Alan C.	61	1991
An elementary approach to traveling front solutions to a system of \(N\) competition-diffusion equations. Zbl 0737.35029 Ahmad, Shair; Lazer, A. C.	22	1991
Non-linear flexings in a periodically forced floating beam. Zbl 0723.35079 Lazer, A. C.; McKenna, P. J.	7	1991
Nonresonance conditions for the existence, uniqueness, and stability of periodic solutions of differential equations with a symmetric nonlinearities. Zbl 0731.34039 Lazer, A. C.; McKenna, P. J.	1	1991
Large-amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis. Zbl 0725.73057 Lazer, A. C.; McKenna, P. J.	406	1990
On the existence of stable periodic solutions of differential equations of Duffing type. Zbl 0714.34067 Lazer, A. C.; McKenna, P. J.	23	1990
Fredholm theory for periodic solutions of some semilinear p.d.e.s with homogeneous nonlinearities. Zbl 0712.35065 Lazer, A. C.; McKenna, P. J.	3	1990
Asymptotic behaviour of solutions of periodic competition diffusion system. Zbl 0686.35060 Ahmad, Shair; Lazer, Alan C.	59	1989
Existence and stability of large scale nonlinear oscillations in suspension bridges. Zbl 0677.73046 Glover, J.; Lazer, A. C.; McKenna, P. J.	56	1989
Existence, uniqueness, and stability of oscillations in differential equations with asymmetric nonlinearities. Zbl 0725.34042 Lazer, A. C.; McKenna, P. J.	34	1989
A semi-Fredholm principle for periodically forced systems with homogeneous nonlinearities. Zbl 0683.34027 Lazer, A. C.; Mckenna, P. J.	25	1989
Nontrivial solutions of operator equations and Morse indices of critical points of min-max type. Zbl 0667.47036 Lazer, A. C.; Solimini, S.	80	1988
A symmetry theorem and applications to nonlinear partial differential equations. Zbl 0666.47038 Lazer, A. C.; McKenna, P. J.	32	1988
Introduction to multiplicity theory for boundary value problems with asymmetric nonlinearities. Zbl 0674.35032 Lazer, Alan	5	1988
On periodic solutions of nonlinear differential equations with singularities. Zbl 0616.34033 Lazer, A. C.; Solimini, S.	156	1987
Large scale oscillatory behaviour in loaded asymmetric systems. Zbl 0633.34037 Lazer, A. C.; McKenna, P. J.	67	1987
An application of topological degree to the periodic competings species problem. Zbl 0625.92018 Alvarez, Carlos; Lazer, Alan C.	73	1986
Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues. II. Zbl 0654.35082 Lazer, A. C.; McKenna, P. J.	25	1986
Multiplicity of solutions of nonlinear boundary value problems. Zbl 0615.34011 Hart, D. C.; Lazer, A. C.; McKenna, P. J.	11	1986
Multiplicity of solutions of nonlinear boundary value problems with nonlinearities crossing several higher eigenvalues. Zbl 0588.35036 Lazer, A. C.; McKenna, P. J.	9	1986
Nontrivial solutions of operator equations and Morse indices of critical points of min-max type. Zbl 0619.58011 Lazer, A. C.; Solimini, S.	5	1986
Multiplicity results for a class of semilinear elliptic and parabolic boundary value problems. Zbl 0584.35053 Lazer, A. C.; McKenna, P. J.	34	1985
Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues. Zbl 0572.35036 Lazer, A. C.; McKenna, P. J.	24	1985
Multiple solutions of two point boundary value problems with jumping nonlinearities. Zbl 0576.34017 Hart, D. C.; Lazer, A. C.; McKenna, P. J.	18	1985
Multiplicity results for a semilinear boundary value problem with the nonlinearity crossing higher eigenvalues. Zbl 0582.35049 Lazer, A. C.; McKenna, P. J.	13	1985
Stable coexistence states in the Volterra-Lotka competition model with diffusion. Zbl 0562.92012 Cosner, Chris; Lazer, A. C.	110	1984
Critical point theory and a theorem of Amaral and Pera. Zbl 0603.34036 Ahmad, S.; Lazer, A.	9	1984
Periodic equilibria under periodic harvesting. Zbl 0539.92026 Lazer, A. C.; Sanchez, D. A.	8	1984
Recent multiplicity results for nonlinear boundary value problems. Zbl 0559.35029 Lazer, A. C.; McKenna, P. J.	3	1984
On a conjecture related to the number of solutions of a nonlinear Dirichlet problem. Zbl 0533.35037 Lazer, A. C.; McKenna, P. J.	59	1983
On steady state solutions of a system of reaction-diffusion equations from biology. Zbl 0488.35039 Lazer, A. C.; McKenna, P. J.	35	1982
Results on periodic solutions of parabolic equations suggested by elliptic theory. Zbl 0501.35005 Castro, Alfonso; Lazer, Alan C.	14	1982
Monotone scheme for finite difference equations concerning steady-state prey-predator interactions. Zbl 0494.65052 Lazer, Alan C.; Leung, Anthony W.; Murio, Diego A.	10	1982
Some remarks on parabolic solutions of parabolic differential equations. Zbl 0551.35044 Lazer, Alan C.	7	1982
On limitations to the solution set of some nonlinear problems. Zbl 0551.35040 Lazer, Alan C.; McKenna, P. J.	2	1982
On the number of solutions of a nonlinear Dirichlet problem. Zbl 0496.35039 Lazer, A. C.; McKenna, P. J.	73	1981
On periodic solutions of weakly coupled systems of differential equations. Zbl 0487.34037 Castro, Alfonso; Lazer, Alan C.	15	1981
On an extension of the Sturm comparison theorem. Zbl 0479.34015 Ahmad, Shair; Lazer, Alan C.	3	1981
On nth-order Sturmian theory. Zbl 0444.34036 Ahmad, Shair; Lazer, Alan C.	8	1980
On an extension of Sturm’s comparison theorem to a class of nonselfadjoint second-order systems. Zbl 0454.34031 Ahmad, Shair; Lazer, Alan C.	7	1980
Differential equations. Proceedings of the Eight Fall Conference on Differential Equations Held at Oklahoma State University, Stillwater, October 1979. Zbl 0566.00006	1	1980
On multiple solutions of a nonlinear Dirichlet problem. Zbl 0603.35033 Lazer, A. C.; McKenna, P. J.	1	1980
Critical point theory and the number of solutions of a nonlinear Dirichlet problem. Zbl 0426.35038 Castro, Alfonso; Lazer, A. C.	81	1979
On the role of Hopf’s maximum principle in elliptic Sturmian theory. Zbl 0424.35032 Ahmad, Shair; Lazer, Alan C.	1	1979
An \(n\)-dimensional extension of the Sturm separation and comparison theory to a class of nonselfadjoint systems. Zbl 0409.34029 Ahmad, Shair; Lazer, A. C.	19	1978
A new generalization of the Sturm comparison theorem to selfadjoint systems. Zbl 0379.34006 Ahmad, Shair; Lazer, Alan C.	7	1978
Positive operators and Sturmian theory of nonselfadjoint second-order systems. Zbl 0454.34029 Ahmad, Shair; Lazer, Alan C.	7	1978
On the components of extremal solutions of second order systems. Zbl 0384.34021 Ahmad, Shair; Lazer, Alan C.	13	1977
Elementary critical point theory and perturbations of elliptic boundary value problems at resonance. Zbl 0351.35036 Ahmad, S.; Lazer, A. C.; Paul, J. L.	102	1976
Applications of a max-min principle. Zbl 0356.35073 Castro, Alfonso; Lazer, A. C.	13	1976
Component properties of second order linear systems. Zbl 0362.34007 Ahmad, Shair; Lazer, A. C.	5	1976
On saddle point problems in the calculus of variations, the Rity algorithm, and monotone convergence. Zbl 0354.35004 Lazer, A. C.; Landesman, E. M.; Meyers, David R.	30	1975
Topological degree and symmetric families of periodic solutions of nondissipative second-order systems. Zbl 0346.34022 Lazer, A. C.	3	1975
Small periodic perturbations of a class of conservative systems. Zbl 0287.34039 Lazer, A. C.	9	1973
Application of a lemma on bilinear forms to a problem in nonlinear oscillations. Zbl 0257.34041 Lazer, A. C.	61	1972
Characteristic exponents and diagonally dominant linear differential systems. Zbl 0215.43901 Lazer, A. C.	28	1971
Nonlinear perturbations of linear elliptic boundary value problems at resonance. Zbl 0193.39203 Landesman, E. M.; Lazer, A. C.	343	1970
Linear eigenvalues and a nonlinear boundary value problem. Zbl 0204.12002 Landesman, E. M.; Lazer, A. C.	32	1970
On the solutions of a class of linear selfadjoint differential equations. Zbl 0211.39801 Anderson, Larry R.; Lazer, A. C.	1	1970
Bounded perturbations of forced harmonic oscillators at resonance. Zbl 0194.12003 Lazer, A. C.; Leach, D. E.	107	1969
On periodically perturbed conservative systems. Zbl 0187.34501 Lazer, A. C.; Sanchez, D. A.	38	1969
On a nonlinear two-point boundary value problem. Zbl 0195.37701 Lazer, A. C.; Leach, D. E.	32	1969
On the oscillatory behavior of a class of linear third order differential equations. Zbl 0167.07903 Ahmad, S.; Lazer, A. C.	9	1969
On Schauder’s fixed point theorem and forced second-order nonlinear oscillations. Zbl 0155.14001 Lazer, A. C.	70	1968
On the asymptotic behavior of solutions of the differential equation \(y^{(4)} = p(t)y\). Zbl 0157.14901 Hastings, S. P.; Lazer, A. C.	4	1968
On Schauder’s fixed point theorem and forced second-order nonlinear oscillations. Zbl 0189.39001 Lazer, A. C.	3	1967
On the computation of periodic solutions of weakly nonlinear differential equations. Zbl 0173.18003 Lazer, A. C.	2	1967
The behavior of solutions of the differential equation \(y'''+p(x)y'+q(x)y = 0\). Zbl 0143.31501 Lazer, A. C.	73	1966
On global weak attractors in dynamical systems. Zbl 0147.23101 Bhatia, Nam P.; Lazer, Alan C.; Szegö, George P.	10	1966
Application of the Poincaré-Bendixson theorem. Zbl 0144.22403 Bhatia, N. P.; Lazer, A. C.; Leighton, W.	4	1966
...and 2 more Documents

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Cited by 2,469 Authors

65	Papageorgiou, Nikolaos S.
43	McKenna, Patrick Joseph
42	Lazer, Alan C.
41	Zanolin, Fabio
40	Zhang, Zhijun
35	Ahmad, Shair
35	Tang, Chun-Lei
27	Fonda, Alessandro
27	Mawhin, Jean
26	Ma, Ruyun
25	Rădulescu, Vicenţiu D.
23	Choi, Q-Heung
23	Schechter, Martin
22	Drábek, Pavel
22	Santos, Carlos Alberto P.
21	Jung, Tacksun
20	Feng, Meiqiang
20	Tang, Xianhua
19	Dancer, Edward Norman
19	Yang, Zuodong
19	Zhang, Ziheng
18	Chen, Fengde
18	Korman, Philip L.
18	Lu, Shiping
17	Cheng, Zhibo
17	Ma, Qiaozhen
17	Su, Jiabao
16	Abreu Goncalves, Jose Valdo
16	López-Gómez, Julián
16	Torres, Pedro José
16	Wang, Zaihong
15	Amster, Pablo
15	Mohammed, Ahmed
15	Omari, Pierpaolo
15	Teng, Zhi-dong
15	Zhang, Xuemei
14	Kannan, Rangachary
14	Oliva, Francescantonio
14	Tineo, Antonio R.
13	Agarwal, Ravi P.
13	Choudhuri, Debajyoti
13	Chu, Jifeng
13	Du, Yihong
13	Garain, Prashanta
13	Gasiński, Leszek
13	Mâagli, Habib
13	Wan, Haitao
13	Yuan, Rong
12	Castro, Alfonso
12	Li, Shujie
12	Li, Xiong
12	Pao, Chia-Ven
12	Sciunzi, Berardino
12	Wang, Yuanming
12	Xia, Yonghui
11	Li, Shengjun
11	Ortega, Rafael
11	Porru, Giovanni
11	Solimini, Sergio
10	Chen, Haibo
10	Cosner, Chris
10	Costa, David Goldstein
10	Feng, Wei
10	Gazzola, Filippo
10	Han, Zhiqing
10	Hirano, Norimichi
10	Holubová, Gabriela
10	Krasnosel’skiĭ, Aleksandr Markovich
10	Nieto Roig, Juan Jose
10	Repovš, Dušan D.
10	Sanchez, Luís
10	Ward, James Robert jun.
10	Zhang, Jihui
10	Zhao, Xiao-Qiang
9	Cantrell, Robert Stephen
9	Cesari, Lamberto
9	Choi, Yung-Sze
9	Cîrstea, Florica-Corina Şt.
9	Da Silva, Edcarlos Domingos
9	García-Melián, Jorge
9	Godoy, Tomás F.
9	Hou, Zhanyuan
9	Mi, Ling
9	Nkashama, Mubenga N.
9	Qian, Dingbian
9	Terracini, Susanna
9	Vetro, Calogero
9	Wu, Xingping
8	An, Yukun
8	Cañada Villar, Antonio
8	Canino, Annamaria
8	Chen, Lansun
8	Guedes de Figueiredo, Djairo
8	Faraci, Francesca
8	Garrione, Maurizio
8	Ghosh, Sekhar
8	Guo, Zongming
8	Huang, Shuibo
8	Lisena, Benedetta
8	Liu, Bin
...and 2,369 more Authors

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Cited in 314 Serials

374	Journal of Mathematical Analysis and Applications
261	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
221	Journal of Differential Equations
183	Nonlinear Analysis. Theory, Methods & Applications
83	Nonlinear Analysis. Real World Applications
82	Boundary Value Problems
81	Applied Mathematics and Computation
59	Proceedings of the American Mathematical Society
46	Applied Mathematics Letters
42	Annali di Matematica Pura ed Applicata. Serie Quarta
36	Calculus of Variations and Partial Differential Equations
33	Advanced Nonlinear Studies
31	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
30	Applicable Analysis
30	Abstract and Applied Analysis
30	Mediterranean Journal of Mathematics
29	Transactions of the American Mathematical Society
28	Computers & Mathematics with Applications
28	Complex Variables and Elliptic Equations
27	ZAMP. Zeitschrift für angewandte Mathematik und Physik
27	Journal of Functional Analysis
24	Discrete and Continuous Dynamical Systems
23	Advances in Difference Equations
22	Journal of Computational and Applied Mathematics
22	Mathematische Nachrichten
21	Mathematical Methods in the Applied Sciences
21	Rocky Mountain Journal of Mathematics
19	NoDEA. Nonlinear Differential Equations and Applications
19	Communications on Pure and Applied Analysis
18	Czechoslovak Mathematical Journal
18	Acta Mathematica Sinica. English Series
18	Discrete and Continuous Dynamical Systems. Series B
18	Advances in Nonlinear Analysis
17	Results in Mathematics
16	Electronic Journal of Differential Equations (EJDE)
15	Bulletin of the Australian Mathematical Society
15	Mathematical and Computer Modelling
15	Journal of Dynamics and Differential Equations
15	Journal of Applied Mathematics and Computing
14	Journal of Fixed Point Theory and Applications
13	Communications in Partial Differential Equations
13	Korean Journal of Mathematics
12	Chaos, Solitons and Fractals
12	Positivity
12	Qualitative Theory of Dynamical Systems
11	Mathematica Slovaca
11	Monatshefte für Mathematik
11	Zeitschrift für Analysis und ihre Anwendungen
11	Acta Applicandae Mathematicae
11	Journal of Function Spaces
10	Mathematische Annalen
10	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10	Topological Methods in Nonlinear Analysis
10	Discrete Dynamics in Nature and Society
9	Mathematische Zeitschrift
9	Proceedings of the Edinburgh Mathematical Society. Series II
9	Ricerche di Matematica
9	Journal of Difference Equations and Applications
9	Journal of Inequalities and Applications
9	Communications in Nonlinear Science and Numerical Simulation
9	Discrete and Continuous Dynamical Systems. Series S
9	Journal of Applied Analysis and Computation
9	AIMS Mathematics
8	Manuscripta Mathematica
8	Acta Mathematicae Applicatae Sinica. English Series
8	Applications of Mathematics
8	Differential Equations and Dynamical Systems
8	Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7	Journal of Mathematical Physics
7	Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
7	Rendiconti del Circolo Matemàtico di Palermo. Serie II
7	Applied Mathematics. Series B (English Edition)
7	Mathematical Problems in Engineering
7	Journal of Elliptic and Parabolic Equations
6	Archive for Rational Mechanics and Analysis
6	Applied Mathematics and Optimization
6	Applied Numerical Mathematics
6	Applied Mathematical Modelling
6	Journal de Mathématiques Pures et Appliquées. Neuvième Série
6	Opuscula Mathematica
6	Nonlinear Dynamics
6	Journal of Applied Mathematics
6	Acta Mathematica Scientia. Series B. (English Edition)
6	International Journal of Differential Equations
5	Journal d’Analyse Mathématique
5	Mathematical Biosciences
5	Advances in Mathematics
5	Numerische Mathematik
5	Rendiconti del Seminario Matematico della Università di Padova
5	Applied Mathematics and Mechanics. (English Edition)
5	Asymptotic Analysis
5	Journal of Nonlinear Science
5	Communications in Contemporary Mathematics
5	Mathematical Modelling and Analysis
5	Milan Journal of Mathematics
5	Boletim da Sociedade Paranaense de Matemática. Terceira Série
5	Science China. Mathematics
5	Analysis and Mathematical Physics
5	SN Partial Differential Equations and Applications
4	Journal of Mathematical Biology
...and 214 more Serials

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Cited in 49 Fields

1,652	Partial differential equations (35-XX)
1,167	Ordinary differential equations (34-XX)
395	Operator theory (47-XX)
362	Biology and other natural sciences (92-XX)
277	Dynamical systems and ergodic theory (37-XX)
255	Global analysis, analysis on manifolds (58-XX)
111	Mechanics of deformable solids (74-XX)
84	Calculus of variations and optimal control; optimization (49-XX)
82	Numerical analysis (65-XX)
69	Mechanics of particles and systems (70-XX)
52	Difference and functional equations (39-XX)
34	Systems theory; control (93-XX)
26	Potential theory (31-XX)
26	Functional analysis (46-XX)
22	Integral equations (45-XX)
18	Probability theory and stochastic processes (60-XX)
14	Differential geometry (53-XX)
13	Real functions (26-XX)
13	Fluid mechanics (76-XX)
10	Algebraic topology (55-XX)
8	Linear and multilinear algebra; matrix theory (15-XX)
8	General topology (54-XX)
8	Quantum theory (81-XX)
6	Manifolds and cell complexes (57-XX)
5	Functions of a complex variable (30-XX)
5	Approximations and expansions (41-XX)
5	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4	Topological groups, Lie groups (22-XX)
4	Statistical mechanics, structure of matter (82-XX)
3	Measure and integration (28-XX)
3	Several complex variables and analytic spaces (32-XX)
3	Optics, electromagnetic theory (78-XX)
2	Harmonic analysis on Euclidean spaces (42-XX)
2	Abstract harmonic analysis (43-XX)
2	Computer science (68-XX)
2	Operations research, mathematical programming (90-XX)
2	Information and communication theory, circuits (94-XX)
1	General and overarching topics; collections (00-XX)
1	History and biography (01-XX)
1	Combinatorics (05-XX)
1	Number theory (11-XX)
1	Field theory and polynomials (12-XX)
1	Nonassociative rings and algebras (17-XX)
1	Group theory and generalizations (20-XX)
1	Special functions (33-XX)
1	Integral transforms, operational calculus (44-XX)
1	Classical thermodynamics, heat transfer (80-XX)
1	Relativity and gravitational theory (83-XX)
1	Astronomy and astrophysics (85-XX)

Lazer, Alan C. (b. 1938 d. 2020)

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Cited by 2,469 Authors

Cited in 314 Serials

Cited in 49 Fields

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