[1] |
Differential and Integral Inequalities: Theory and Applications, vol. I (1969), Academic Press: Academic Press New York, with S. Leela · Zbl 1522.34002 |
[2] |
Differential and Integral Inequalities: Theory and Applications, vol. II (1969), Academic Press: Academic Press New York, with S. Leela · Zbl 1522.34002 |
[3] |
Differential Equations in Abstract Spaces (1972), Academic Press: Academic Press New York, with G. Ladas · Zbl 0257.34002 |
[4] |
An Introduction to Nonlinear Boundary Value Problems (1974), Academic Press: Academic Press New York, with S.R. Bernfeld · Zbl 0286.34018 |
[5] |
(Stability and Asymptotic Behavior of Solutions of Differential Equations in a Banach Space. Stability and Asymptotic Behavior of Solutions of Differential Equations in a Banach Space, Lecture Notes (1974), CIME: CIME Italy) |
[6] |
Nonlinear Systems and Applications (Proceedings of the International Conference) (1976), Academic Press, Editor |
[7] |
Nonlinear Equations in Abstract Spaces (Proceedings of the International Symposium) (1978), Academic Press, Editor |
[8] |
Applied Nonlinear Analysis (Proceedings of the International Conference) (1979), Academic Press, Editor |
[9] |
Random Differential Inequalities (1980), Academic Press, with G.S. Ladde · Zbl 0466.60002 |
[10] |
An Introduction to Nonlinear Differential Equations in Abstract Spaces (1981), Pergamon Press, with S. Leela · Zbl 0456.34002 |
[11] |
Nonlinear Phenomena in the Mathematical Sciences (Proceedings of the International Conference) (1981), Academic Press, Editor |
[12] |
Trends in Theory and Practice of Nonlinear Differential Equations (Proceedings of the International Conference) (1983), Marcel Dekker, Inc.: Marcel Dekker, Inc. New York, Editor |
[13] |
Trends in Theory and Practice of Nonlinear Analysis (Proceedings of the International Conference) (1985), North-Holland: North-Holland The Netherlands, Editor |
[14] |
Monotone Iterative Techniques in Nonlinear Differential Equations (1985), Pitman Publishing, with G.S. Ladde and A.S. Vatsala · Zbl 0658.35003 |
[15] |
Nonlinear Analysis and Applications (Proceedings of the International Conference) (1987), Marcel Dekker, Inc.: Marcel Dekker, Inc. New York, Editor |
[16] |
Theory of Oscillation for Differential Equations with Deviating Arguments (1987), Marcel Dekker, Inc.: Marcel Dekker, Inc. New York, with B. Zhang and G.S. Ladde · Zbl 0622.34071 |
[17] |
Theory of Difference Equations and Numerical Analysis (1988), Academic Press: Academic Press New York, with D. Trigiante · Zbl 0683.39001 |
[18] |
Nonlinear Problems in Abstract Cones (1988), Academic Press: Academic Press New York, with D. Guo · Zbl 0661.47045 |
[19] |
Stability Analysis of Nonlinear Problems (1989), Marcel Dekker: Marcel Dekker New York, with A. Martynyk and S. Leela · Zbl 0676.34003 |
[20] |
Theory of Impulsive Differential Equations (1989), World Scientific Publishers: World Scientific Publishers Singapore, with D. Bainov and P. Simeonov · Zbl 0719.34002 |
[21] |
Stability of Motion: The Method of Integral Inequalities (1989), Nauka Dumka: Nauka Dumka Kiev, USSR, (in Russian) · Zbl 0751.70014 |
[22] |
Practical Stability of Nonlinear Systems (1990), World Scientific Publishers: World Scientific Publishers Singapore, with S. Leela and A.A. Martynyuk · Zbl 0753.34037 |
[23] |
Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems (1991), Kluwer Publishing, with V.M. Matrosov and S. Sivasundaram · Zbl 0721.34054 |
[24] |
Stability of Motion: Comparison Method (1991), Nauka Dumka: Nauka Dumka Kiev, USSR, (in Russian) with S. Leela and A.A. Martynyuk · Zbl 0852.34057 |
[25] |
Stability Analysis in Terms of Two Measures (1993), World Scientific Publishers: World Scientific Publishers Singapore, with X. Liu · Zbl 0797.34056 |
[26] |
Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations (1993), World Scientific Publishers: World Scientific Publishers Singapore, with R.P. Agarwal · Zbl 0785.34003 |
[27] |
Monotone Iterative Techniques for Discontinuous Differential Equations (1994), Marcel Dekker: Marcel Dekker New York, with S. Heikkilä · Zbl 0804.34001 |
[28] |
Proceedings of the First World Congress of Nonlinear Analysts (1994), Walter de Gruyter: Walter de Gruyter Berlin, (four volumes) |
[29] |
Theory of Integro-Differential Equations (1994), Gordon and Breach Scientific Publishers, with M.R.M. Rao |
[30] |
Theory of Differential Equations with Unbounded Delay (1994), Kluwer Publishing, with L. Wen and B.G. Zhang · Zbl 0823.34069 |
[31] |
Dynamic Systems on Measure Chains (1996), Kluwer Publications, with S. Sivasundaram and B. Kaymakcalan · Zbl 0869.34039 |
[32] |
Nonlinear Integral Equations in Abstract Spaces (1996), Kluwer Publications, with X. Liu and D. Guo · Zbl 0866.45004 |
[33] |
Proceedings of the Second World Congress of Nonlinear Analysts (1997), Elsevier Science, Ltd, (six volumes) |
[34] |
Ordinary Differential Equations (1997), Tata McGraw-Hill, with S.G. Deo and V. Raghavendra · Zbl 0880.34001 |
[35] |
Method of Variation of Parameters for Nonlinear Dynamics Systems (1997), Gordon and Breach: Gordon and Breach England, with S.G. Deo |
[36] |
Generalized Quasilinearization for Nonlinear Problems (1998), Kluwer Publications, with A.S. Vatsala · Zbl 0997.34501 |
[37] |
The Origin of Human Past: Children of Immortal Bliss (1999), Bharatiya Vidya Bhavan: Bharatiya Vidya Bhavan Bombay |
[38] |
The Origin of Mathematics (2000), University Press of America, with S. Leela · Zbl 0963.01005 |
[39] |
Theory of Difference Equations: Numerical Analysis and Applications (2002), Marcel Dekker, with D. Trigiante · Zbl 1014.39001 |
[40] |
Monotone Flows and Rapid Convergence for Partial Differential Equations (2003), Taylor & Francis: Taylor & Francis England, with S. Köksal · Zbl 1017.35001 |
[41] |
Theory of Fuzzy Differential Equations and Inclusions (2003), Taylor & Francis: Taylor & Francis England, with R. Mohapatra · Zbl 1072.34001 |
[42] |
Theory of set Differential Equations in a Metric Space (2005), Cambridge Scientific Publishers: Cambridge Scientific Publishers U.K, with T. Gnana Bhaskar and J. Vasundhara Devi |
[43] |
The Origin and History of Mathematics (2005), Cambridge Scientific Publishers: Cambridge Scientific Publishers U.K, with J. Vasundhara Devi and S. Leela · Zbl 1141.01003 |
[44] |
Computational Error and Complexity in Science and Engineering (2005), Elsevier: Elsevier Amsterdam, with S.K. Sen · Zbl 1076.65045 |
[45] |
What India Should Know (2005), Bharatiya Vidya Bhavan: Bharatiya Vidya Bhavan Bombay, with J. Vasundhara Devi |
[46] |
Theory of Fractional Dynamic Systems, Cambridge Scientific Publishers, (in press) with S. Leela and J. Vasundhara Devi; Theory of Fractional Dynamic Systems, Cambridge Scientific Publishers, (in press) with S. Leela and J. Vasundhara Devi · Zbl 1188.37002 |
[47] |
(Martynyuk, A. A., Advances in Stability Theory: Old and New, Stability Theory at the End of the XXth Century, vol. 13 (2000), Gordon and Breach Publishers: Gordon and Breach Publishers United Kingdom), 159-171, with S. Leela |
[48] |
A note on multiple solutions for (p, n-p) focal and (n, p) problems, Nonlinear Stud., 7, 18-24 (2000), with R.P. Agarwal and D. O’Regan · Zbl 1010.34016 |
[49] |
A damped oscillator with piecewise constant time delay, Nonlinear Stud., 7, 78-84 (2000), with J. Wiener · Zbl 1016.34069 |
[50] |
Differential equations with piecewise constant argument and impulsive equations, Nonlinear Stud., 7, 60-69 (2000), with J. Wiener · Zbl 0997.34076 |
[51] |
Uncertain systems and fuzzy differential equations, J. Math. Appl. Anal., 251, 805-817 (2000) · Zbl 0966.34055 |
[52] |
Existence of fixed points of fuzzy mappings via theory of fuzzy differential equations, J. Comput. Appl. Math., 113, 195-200 (2000), with A.S. Vatsala · Zbl 0943.34051 |
[53] |
Generalized quasilinearization and semilinear elliptic BVPs, J. Math. Anal. Appl., 249, 199-220 (2000) · Zbl 0959.35062 |
[54] |
Advances in stability theory of Lyapunov, SAMS, 37, 407-416 (2000) · Zbl 1169.34300 |
[55] |
Criteria for a new concept of stability, J. Korean Math. Soc., 37, 657-664 (2000) · Zbl 0990.34048 |
[56] |
Strict practical stability of delay differential equation, Appl. Math. Comput., 118, 275-286 (2001), with Y. Zhang · Zbl 1035.34082 |
[57] |
Basic results for fuzzy impulsive differential equations, J. Math. Inequal. Appl., 4, 239-246 (2001), with F. McRae · Zbl 0993.34008 |
[58] |
Practical stability of hybrid impulsive dynamic systems, Intern. J. Hybrid Systems, 1, 67-78 (2001) |
[59] |
Singular nonresonant dirichlet BVP and quadratic forms, Nonlinear Stud., 8, 13-20 (2001), with R.P. Agarwal and D. O’Regan · Zbl 1054.34036 |
[60] |
Generalized quasilinear method for quasilinear elliptic problems, J. Nonlinear Anal., 46, 1101-1110 (2001) · Zbl 1075.35523 |
[61] |
Fuzzy differential systems and the new concept of stability, Nonlinear Dyn. Syst. Theory, 1, 111-120 (2001), with S. Leela · Zbl 1007.34055 |
[62] |
Existence criteria for singular initial value problems with sign changing singularities, Math. Probl. Eng., 7, 503-524 (2001), with R.P. Agarwal and D. O’Regan · Zbl 1023.34001 |
[63] |
Two point BVPs associated with nonlinear fuzzy differential equations, Math. Inequal. Appl., 4, 527-533 (2001), with K.N. Murty and J. Turner · Zbl 1022.34051 |
[64] |
Generalized quasilinearization and semilinear degenerate elliptic problem, Discrete Contin. Dyn. Syst., 7, 801-808 (2001), with S. Leela · Zbl 1172.35406 |
[65] |
A unified monotone iterative technique for semilinear elliptic BVPs, Appl. Anal., 79, 397-403 (2001), with S. Koksal · Zbl 1034.35045 |
[66] |
An overview of integro-differential equations and variational Lyapunov method, Contemp. Math., 275, 129-135 (2001), with Sonia Felton Stephens · Zbl 0983.45004 |
[67] |
Quadratic forms and nonlinear nonresonant singular second order BVPs of limit cycle type, J. Anal. Appl., 20, 727-737 (2001), with R.P. Agarwal and D. O’Regan · Zbl 0986.34014 |
[68] |
Strict stability of differential equations, Nonlinear Anal., 46, 915-922 (2001), with R. Mohapatra · Zbl 1008.34041 |
[69] |
Uncertain systems and fuzzy differential equations, J. Math. Anal. Appl., 251, 805-817 (2001) · Zbl 0966.34055 |
[70] |
Generalized quasilinearization and semilinear parabolic problems, J. Nonlinear Anal., 48, 947-960 (2002), with S. Carl · Zbl 1011.35079 |
[71] |
A new concept unifying Lyapunov and orbital stabilities, Comm. Appl. Anal., 6, 289-296 (2002), with S. Leela · Zbl 1085.34532 |
[72] |
On the Dirichlet problem for fourth order linear hyperbolic equations, J. Nonlinear Anal., 49, 197-220 (2002), with T. Kiguradze · Zbl 1004.35082 |
[73] |
On doubly periodic solutions of fourth order linear hyperbolic equations, J. Nonlinear Anal., 49, 87-112 (2002), with T. Kiguradze · Zbl 1004.35080 |
[74] |
Basic theory of fuzzy difference equations, J. Difference Equ. Appl., 1-12 (2002), with A.S. Vatsala |
[75] |
A unified iterative technique for nonlinear elliptic problems via nonvariational method, Nonlinear Funct. Anal., 7, 143-154 (2002), with S. Koksal · Zbl 1009.35036 |
[76] |
Set-valued hybrid differential equations and stability in terms of two measures, Intern. J. Hybrid Systems, 2, 169-188 (2002), with A.S. Vatsala and S. Leela |
[77] |
Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions, J. Math. Anal. Appl., 271, 182-205 (2002), with S. Carl · Zbl 1010.65041 |
[78] |
Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach, Nonlinear Anal., 50, 215-225 (2002), with R.P. Agarwal, D. O’Regan, and S. Leela · Zbl 1010.34011 |
[79] |
An upper and lower solution theory for singular Emden-Fowler equations, Nonlinear Anal. Series B, 3, 275-291 (2002), with R.P. Agarwal, D. O’Regan, and S. Leela · Zbl 1011.34013 |
[80] |
Nonuniform nonresonance at the first eigenvalue for singular BVPs with sign changing nonlinearities, J. Math. Anal. Appl., 274, 404-423 (2002), with R.P. Agarwal and D. O’Regan · Zbl 1021.34016 |
[81] |
Fuzzy differential inclusions, Proc. Neural, Parallel Scient. Comp., 2, 141-144 (2002) |
[82] |
Generalized quasilinearization method for semilinear hyperbolic problems, Discrete Contin. Dyn. Syst., 9, 1263-1276 (2003), with T. Gnana Bhaskar and S. Koksal · Zbl 1026.35082 |
[83] |
Set-differential equations and flow invariance, Appl. Anal., 82, 357-368 (2003), with T. Gnana Bhaskar · Zbl 1047.34010 |
[84] |
Generalized proximal normals and flow invariance for differential inclusions, Nonlinear Stud., 10, 1, 29-37 (2003), with T. Gnana Bhaskar · Zbl 1035.34009 |
[85] |
Interconnection between set and fuzzy differential equations, Nonlinear Anal., 54, 351-360 (2003), with A.S. Vatsala and S. Leela · Zbl 1029.34049 |
[86] |
Set differential equations and monotone flows, Nonlinear Dyn. Syst. Theory, 3, 151-161 (2003), with A.S. Vatsala · Zbl 1090.34064 |
[87] |
Existence criteria for singular BVPs modelling the membrane response of a spherical cap, Nonlinear Anal. Series B, 4, 223-244 (2003), with R.P. Agarwal and D. O’ Regan · Zbl 1028.34016 |
[88] |
Initial and BVPs for fuzzy differential equations, Nonlinear Anal., 54, 405-416 (2003), with D. O’ Regan and J. Nieto · Zbl 1048.34015 |
[89] |
The Connection between set and fuzzy differential equations, Proc. Sym. 6th ISNM, Facta Universitatis, 4, #16, 1-10 (2003) · Zbl 1120.34309 |
[90] |
Hybrid impulsive fuzzy differential systems, J. Hybrid Systems, 3, 81-94 (2003), with A.S. Vatsala |
[91] |
Discrete second order inclusions, J. Difference Equ. Appl., 9, 879-885 (2003), with R.P. Agarwal and D. O’Regan · Zbl 1047.39013 |
[92] |
An upper and lower solution approach for nonlinear singular BVPs with \(y\)-dependence, Arch. Inequal. Appl., 1, 119-135 (2003), with R.P. Agarwal and D. O’Regan · Zbl 1046.34033 |
[93] |
Differential equations in metric spaces, DCDIS Series A, DCDS, 10, 991-1000 (2003), with J. Nieto · Zbl 1057.34061 |
[94] |
Existence and interrelation between set and fuzzy differential equations, J. Nonlinear Anal., 55, 255-268 (2003), with A. Tolstonogov · Zbl 1035.34064 |
[95] |
A stacking theorem approach for fuzzy differential equations, Nonlinear Anal., 55, 299-312 (2003), with R.P. Agarwal and D. O’Regan · Zbl 1042.34027 |
[96] |
Stability theory for set differential equations, the special issue honouring Prof. Siljak for his 70th birthday, Dyn. Contin. Discrete Impuls. Syst., 11, 2-3, 181-189 (2004), (special issue) with S. Leela and J. Vasundhara Devi · Zbl 1068.34047 |
[97] |
Lyapunov stability for set differential equations, Dynam. Systems Appl., 13, 1-10 (2004), with T. Ghana Bhaskar · Zbl 1078.34032 |
[98] |
Fuzzy Volterra integral equations: A stacking theorems approach, Appl. Anal., 83, 521-532 (2004), with R. Agarwal and D. O’Regan · Zbl 1069.45001 |
[99] |
Existence of solutions of singular IVPs and BVPs, Problems of Nonlinear Analysis in Engineering Systems, 10, 71-82 (2004), with J.V. Devi |
[100] |
Asymptotic controllability in terms of two measures of hybrid dynamic systems, (Adv. Dyn. Control (2004), Chapman Hall/CRC: Chapman Hall/CRC Boca Raton), 137-154, with S. Sivasundaram · Zbl 1098.93003 |
[101] |
A generalized upper and lower solution method for singular initial value problems, Comput. Math. Appl., 47, 739-750 (2004), with R. Agarwal, D. O’Regan, and S. Leela · Zbl 1098.34004 |
[102] |
Revisiting fuzzy differential equations, Nonlinear Anal., 351-358 (2004), with T.G. Bhaskar and J.V. Devi · Zbl 1095.34511 |
[103] |
The role of differential inequalities in a wide range of nonlinear problems, Adv. Nonlinear Anal., 6-27 (2004) |
[104] |
Set differential equations versus fuzzy differential equations, Appl. Math. Comput. (2004) |
[105] |
Generalized Quasilinearization versus Newton’s method, Appl. Math. Comput. (2004), with A.S. Vatsala |
[106] |
Set valued functions in Frechet spaces continuity Hukuhara differentiability and applications to set differential equations, T. Gnana Bhaskar, G.N. Galanis, and P.K. Palamides (in press); Set valued functions in Frechet spaces continuity Hukuhara differentiability and applications to set differential equations, T. Gnana Bhaskar, G.N. Galanis, and P.K. Palamides (in press) · Zbl 1190.49025 |
[107] |
Lyapunov-like functions in metric spaces, Dyn. Systems Appl., 13, 3-4, 553-560 (2004), with J. Vasundhara Devi · Zbl 1089.34539 |
[108] |
Nonlinear variation of parameters formula for set differential equations in a metric space, Nonlinear Anal., 63, 5-7, 735-744 (2005), with T. Gnana Bhaskar and J. Vasundhara Devi · Zbl 1153.34313 |
[109] |
Comparing random number generators using Monte Carlo integration, Internat. J. Innovative Comput. Inform. Control, I, 143-165 (2005), with S. Sen and S. Thadhagatha |
[110] |
Monotone approximations and rapid convergence, Ten Math. Essays on Approx. in Analysis and Topology, 125-148 (2005), Elsevier · Zbl 1079.65066 |
[111] |
Stability in terms of two measures of hybrid systems with partially visible solutions, Nonlinear Anal. Hybrid Syst. Appl., 62, 1536-1543 (2005), with J. Vasundhara Devi and A.S. Vatsala · Zbl 1088.34049 |
[112] |
Nonresonant singular boundary value problems with sign changing nonlinearities, Appl. Math. Comput., 167, 1236-1248 (2005), with R.P. Agarwal, D. O’Regan, and S. Leela · Zbl 1086.34020 |
[113] |
Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal., 65, 7, 1379-1393 (2006), with T. Gnana Bhaskar · Zbl 1106.47047 |
[114] |
Existence and Monotone Iterative technique for BVPS of set differential equations in a metric space, Problems of Nonlinear Analysis in Engineering systems No. 2 (26), 12, 46-52 (2006), with J.V. Devi |
[115] |
Hybrid Systems with time scales and impulses, Nonlinear Anal., 65, 11, 2147-2152 (2006), with J.V. Devi · Zbl 1109.34003 |
[116] |
Functional differential systems with anticipation and retardation, Nonlinear Anal. Real World Problems, (in press) with T. Gnana Bhaskar; Functional differential systems with anticipation and retardation, Nonlinear Anal. Real World Problems, (in press) with T. Gnana Bhaskar |
[117] |
Personage in science: Academician Yu.A. Mitropolskii, Nonlinear Dyn. Syst. Theory, 6, 4, 309-318 (2006), 01A70, with A.A. Martynyuk, J.H. Dshalalow · Zbl 1123.01306 |
[118] |
Hybrid systems and applications, Nonlinear Anal., 65, 12 (2006), v-vi, 93-106 |
[119] |
On initial-boundary value problems in bounded and unbounded domains for a class of nonlinear hyperbolic equations of the third order, J. Math. Anal. Appl., 324, 2, 1242-1246 (2006), with Kiguradze, Tariel · Zbl 1106.35036 |
[120] |
Hybrid real number system, Nonlinear Anal. Hybrid Syst., 1, 119-123 (2007), with Danny Kovach · Zbl 1122.03312 |
[121] |
Hybrid Physics of the mind, Nonlinear Anal. Hybrid Syst., 1, 135-138 (2007) · Zbl 1197.00020 |
[122] |
Monotone iterative technique for functional differential equations with retardation and anticipation, Nonlinear Anal., 66, 2237-2242 (2007), with T. Gnana Bhaskar and J.V. Devi · Zbl 1121.34065 |
[123] |
Hybrid set theory, Nonlinear Anal. Hybrid Syst., 1, 414-416 (2007), with T. Gnana Bhaskar and Danny Kovach · Zbl 1122.03309 |
[124] |
Hybrid unified theory, Nonlinear Anal., 67, 2769-2793 (2007) · Zbl 1127.81002 |
[125] |
Theory of fractional differential Equations in a Banach space, Invited Paper for the first issue of European Journal of Pure and Applied Mathematics (2008) (in press) with J. Vasundhara Devi; Theory of fractional differential Equations in a Banach space, Invited Paper for the first issue of European Journal of Pure and Applied Mathematics (2008) (in press) with J. Vasundhara Devi |