Found 76 Documents (Results 1–76)
Properties of a partial Fredholm integro-differential equations with nonlocal condition and algorithms. (English) Zbl 07900013
Reviewer: Joseph Shomberg (Providence)
New polyconvolution product for Fourier-cosine and Laplace integral operators and their applications. (English) Zbl 1537.44007
On the spectral properties of selfadjoint partial integral operators with a nondegenerate kernel. (English. Russian original) Zbl 07825261
Sib. Math. J. 65, No. 2, 475-486 (2024); translation from Vladikavkaz. Mat. Zh. 24, No. 4, 91-104 (2022).
Reviewer: Mohammed El Aïdi (Bogotá)
Sixth-kind Chebyshev and Bernoulli polynomial numerical methods for solving nonlinear mixed partial integrodifferential equations with continuous kernels. (English) Zbl 07904087
Boundedness in \(L_p\) spaces for the Hartley-Fourier convolutions operator and their applications. (English) Zbl 1531.42012
Partial integral operators on Banach-Kantorovich spaces. (English. Russian original) Zbl 07761800
Math. Notes 114, No. 1, 15-29 (2023); translation from Mat. Zametki 114, No. 1, 18-37 (2023).
Using 2D and 1D block-pulse functions simultaneously for solving the Barbashin integro-differential equations. (English) Zbl 1538.65605
An actuated computational method for treating parabolic partial delay integro-differential equations constrained by infinite boundary. (English) Zbl 1522.65257
Approximation of mild solutions of delay integro-differential equations on Banach spaces. (English) Zbl 1525.45009
Reviewer: Rodica Luca (Iaşi)
Orthogonally bi-additive operators. II. (English) Zbl 07720514
Reviewer: Ömer Gök (İstanbul)
Linear Fredholm and Volterra partial integral equations in anisotropic Lebesgue spaces. (English. Russian original) Zbl 1512.45009
J. Math. Sci., New York 270, No. 4, 556-561 (2023); translation from Probl. Mat. Anal. 122, 47-52 (2023).
An exclusive spectral computational approach based on quadratic orthoexponential polynomials for solving integro-differential equations with delays on the real line. (English) Zbl 07630321
Some results of Watson and Plancherel-type integral transforms related to the Hartley, Fourier convolutions and applications. (English) Zbl 1534.44002
Spectral properties of self-adjoint partially integral operators with non-degenerate kernels. (Russian. English summary) Zbl 1516.47064
Vladikavkaz. Mat. Zh. 24, No. 4, 91-104 (2022); translation in Sib. Math. J. 65, No. 2, 475-486 (2024).
Non-instantaneous impulsive fractional integro-differential equations with state-dependent delay. (English) Zbl 1524.34185
Linear operators and equations with partial integrals. (English. Russian original) Zbl 07584493
J. Math. Sci., New York 265, No. 2, 196-235 (2022); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 3, 390-433 (2019).
Hopf bifurcation for general 1D semilinear wave equations with delay. (English) Zbl 1491.35012
Reviewer: Guido Schneider (Stuttgart)
The spectrum of an element in a Banach-Kantorovich algebra over a ring of measurable functions. (English) Zbl 1485.46052
Reviewer: S. S. Kutateladze (Novosibirsk)
Perturbations of operator functions: a survey. (English) Zbl 1529.47021
Parasidis, Ioannis. N. (ed.) et al., Mathematical analysis in interdisciplinary research. Cham: Springer. Springer Optim. Appl. 179, 335-380 (2021).
Reviewer: Yaudat Sultanaev (Ufa)
Partial integral operators of non-negative orders in weighted Lebesgue spaces. (Russian. English summary) Zbl 07503912
Orthogonally biadditive operators. (English) Zbl 07452484
Reviewer: Ömer Gök (İstanbul)
Delay-dependent stability conditions for non-autonomous functional differential equations with several delays in a Banach space. (English) Zbl 1484.34154
Reviewer: Krishnan Balachandran (Coimbatore)
Boundedness of mixed norms of partial integral operators. (English. Russian original) Zbl 1485.47072
J. Math. Sci., New York 255, No. 6, 726-731 (2021); translation from Probl. Mat. Anal. 110, 45-49 (2021).
Solution estimates for semilinear non-autonomous evolution equations with differentiable linear parts. (English) Zbl 1469.34083
Reviewer: Sergiu Aizicovici (Verona)
Representation of networks and systems with delay: DDEs, DDFs, ODE-PDEs and PIEs. (English) Zbl 1461.93188
A fast numerical method for fractional partial integro-differential equations with spatial-time delays. (English) Zbl 1461.65218
Boundedness of operators with partial integrals with the mixed norm. II. (Russian. English summary) Zbl 1470.47035
MSC:
47G10
Boundedness of operators with partial integrals with the mixed norm. I. (Russian. English summary) Zbl 1470.47034
MSC:
47G10
A matched Hermite-Taylor matrix method to solve the combined partial integro-differential equations having nonlinearity and delay terms. (English) Zbl 1463.65434
Fredholm integral equations with partial integrals in \(\mathbb{R}_2\). (English. Russian original) Zbl 1462.45002
J. Math. Sci., New York 251, No. 6, 839-849 (2020); translation from Probl. Mat. Anal. 107, 59-67 (2020).
About the spectral properties of one three-partial model operator. (English. Russian original) Zbl 1453.82041
Russ. Math. 64, No. 5, 1-7 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 5, 3-10 (2020).
Partial integrals in anisotropic Lebesgue spaces. II: Multidimensional case. (English. Russian original) Zbl 1485.47071
J. Math. Sci., New York 247, No. 6, 893-899 (2020); translation from Probl. Mat. Anal. 102, 125-130 (2020).
Partial integrals in anisotropic Lebesgue spaces. I: Two-dimensional case. (English. Russian original) Zbl 1485.47070
J. Math. Sci., New York 247, No. 6, 888-892 (2020); translation from Probl. Mat. Anal. 102, 119-123 (2020).
Fredholm property of linear equations with partial integrals in the space of integrable functions. (English. Russian original) Zbl 1474.45003
J. Math. Sci., New York 249, No. 6, 967-973 (2020); translation from Probl. Mat. Anal. 103, 137-142 (2020).
Integral equations with multidimensional partial integrals. (English. Russian original) Zbl 1474.45002
J. Math. Sci., New York 249, No. 6, 954-966 (2020); translation from Probl. Mat. Anal. 103, 125-136 (2020).
On class of integral equations with partial integrals and its applications. (Russian. English summary) Zbl 1463.45001
Ufim. Mat. Zh. 11, No. 3, 63-78 (2019); translation in Ufa Math. J. 11, No. 3, 61-77 (2019).
Approximation of the integral funnel of the Urysohn type integral operator. (English) Zbl 1429.65301
Integral necessary condition of optimality of the second order for control problems described by system of integro-differential equations with delay. (Russian. English summary) Zbl 1424.49023
Numerical analysis and computational solution of integro-differential equations. (English) Zbl 1405.65165
Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer (ISBN 978-3-319-72455-3/hbk; 978-3-319-72456-0/ebook). 205-231 (2018).
Solution of a multidimensional Abel integral equation of the second kind with partial fractional integrals. (English. Russian original) Zbl 1381.45018
Differ. Equ. 53, No. 9, 1160-1164 (2017); translation from Differ. Uravn. 53, No. 9, 1195-1199 (2017).
Stability and boundedness of solutions to nonautonomous parabolic integrodifferential equations. (English) Zbl 1400.35156
Spectral decomposition of selfadjoint cyclically compact operators and partial integral equations. (English) Zbl 1399.47074
Numerical solution of integral equations with fractional and partial integrals and variable integration limits. (English. Russian original) Zbl 1354.65275
J. Math. Sci., New York 219, No. 1, 143-149 (2016); translation from Probl. Mat. Anal. 85, 135-141 (2016).
The weighted Cauchy-type problem and Cauchy problem for the linear Barbashin integro-differential equations with fractional partial derivative. (English. Russian original) Zbl 1357.35285
J. Math. Sci., New York 219, No. 1, 125-132 (2016); translation from Probl. Mat. Anal. 85, 119-125 (2016).
On the solvability of a nonlinear integro-differential equation on the half-axis. (English) Zbl 1355.45009
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Two-sided estimates and positivity conditions for solutions of linear operator equations in a Banach lattice. (English) Zbl 1387.47013
Reviewer: Mohamed Ali Toumi (Bizerte)
Numerical solution of linear Volterra equations with partial integrals. (English. Russian original) Zbl 1334.65206
J. Math. Sci., New York 208, No. 2, 168-173 (2015); translation from Probl. Mat. Anal. 80, 19-24 (2015).
Reviewer: Ivan Secrieru (Chişinău)
Generalized solutions to the Cauchy problem for the Barbashin integro-differential equations. (Generalizaed solutions to the Cauchy problem for the Barbashin integro-differential equations.) (English. Russian original) Zbl 1339.45007
J. Math. Sci., New York 208, No. 2, 160-167 (2015); translation from Probl. Mat. Anal. 80, 11-17 (2015).
Reviewer: Stefan Balint (Timişoara)
Conditions for the solvability of a system of integral equations by quadratures. (English. Russian original) Zbl 1325.45006
Differ. Equ. 51, No. 7, 955-958 (2015); translation from Differ. Uravn. 51, No. 7, 958-961 (2015).
MSC:
45F05
Solution regularity and smooth dependence for abstract equations and applications to hyperbolic PDEs. (English) Zbl 1343.35023
Reviewer: Satyanad Kichenassamy (Reims)
On the essential and the discrete spectra of a Fredholm type partial integral operator. (Russian, English) Zbl 1374.47007
Mat. Tr. 17, No. 2, 23-40 (2014); translation in Sib. Adv. Math. 25, No. 4, 231-242 (2015).
On the number of negative eigenvalues of a partial integral operator. (Russian, English) Zbl 1340.47008
Mat. Tr. 17, No. 1, 128-144 (2014); translation in Sib. Adv. Math. 25, No. 3, 179-190 (2015).
Existence and attractivity results for some fractional order partial integro-differential equations with delay. (English) Zbl 1282.26006
Bounds and positivity conditions for operator valued functions in a Hilbert lattice. (English) Zbl 1292.47008
Reviewer: Şafak Alpay (Ankara)
Numerical solution of integro-differential Barbashin equations by Python application. (English. Russian original) Zbl 1264.65216
J. Math. Sci., New York 188, No. 3, 250-255 (2013); translation from Probl. Mat. Anal. 67, 69-74 (2012).
Some aspects of the theory of integro-differential Barbashin equations in function spaces. (English. Russian original) Zbl 1270.45005
J. Math. Sci., New York 188, No. 3, 241-249 (2013); translation from Probl. Mat. Anal. 67, 61-68 (2012).
Reviewer: Jin Liang (Shanghai)
Higher order boundary integral formula and integro-differential equation on Stein mainfolds. (English) Zbl 1275.32005
Solvability of some integral equations in Banach space and their applications to the theory of viscoelasticity. (English) Zbl 1242.45001
An approach for the calculation of one-loop effective actions, vacuum energies, and spectral counting functions. (English) Zbl 1288.83026
Systems of Volterra integral equations with many-dimensional partial integrals. (English. Russian original) Zbl 1181.45019
J. Math. Sci., New York 157, No. 3, 496-503 (2009); translation from Sovrem. Mat. Prilozh. 53 (2008).
Solution of Volterra partial integral equations with the use of differential equations. (English. Russian original) Zbl 1173.45002
Differ. Equ. 44, No. 7, 900-908 (2008); translation from Differ. Uravn. 44, No. 7, 874-882 (2008).
MSC:
45D05
Integro-differential equations for the characteristic functional that are generated by a system of random integral equations. (English. Russian original) Zbl 1168.45013
Differ. Equ. 44, No. 9, 1269-1280 (2008); translation from Differ. Uravn. 44, No. 96, 1222-1232 (2008).
Reviewer: Michael I. Gil’ (Beer-Sheva)
On Volterra partial integral equations in the space of continuous functions of three variables. (English. Russian original) Zbl 1181.45003
J. Math. Sci., New York 147, No. 1, 6538-6542 (2007); translation from Sovrem. Mat. Prilozh. 38, 149-153 (2006).
MSC:
45D05
Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity. (English) Zbl 1175.74013
Partial integral equations of the third kind. (English) Zbl 1163.45001
J. Math. Sci., New York 145, No. 5, 5247-5251 (2007); translation from Sovrem. Mat. Prilozh. 36, 95-99, (2005).
Reviewer: Elena Resmerita (Linz)
On a class of linear integro-differential equations in variational derivatives. (English. Russian original) Zbl 1136.45013
Differ. Equ. 42, No. 9, 1283-1290 (2006); translation from Differ. Uravn. 42, No. 9, 1214-1221 (2006).
On a class of integral equations in the space of continuous functions. (English. Russian original) Zbl 1136.45002
Differ. Equ. 42, No. 9, 1262-1268 (2006); translation from Differ. Uravn. 42, No. 9, 1194-1200 (2006).
MSC:
45B05
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