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Found 251 Documents (Results 1–100)

Algorithm of the regularization method for a nonlinear singularly perturbed integro-differential equation with rapidly oscillating inhomogeneities. (English. Russian original) Zbl 1490.65312

Differ. Equ. 58, No. 3, 392-404 (2022); translation from Differ. Uravn. 58, No. 3, 395-406 (2022).
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Asymptotic integration of a singularly perturbed Volterra equation in the case of a spectral singularity of first order. (English. Russian original) Zbl 1372.45003

Math. Notes 101, No. 5, 824-829 (2017); translation from Mat. Zametki 101, No. 5, 716-722 (2017).
MSC:  45D05 45M05
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Passage to the limit in a singularly perturbed partial integro-differential system. (English. Russian original) Zbl 1359.45004

Differ. Equ. 52, No. 9, 1115-1122 (2016); translation from Differ. Uravn. 52, No. 9, 1160-1167 (2016).
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A problem with inverse time for a singularly perturbed integro-differential equation with diagonal degeneration of the kernel of high order. (English. Russian original) Zbl 1350.65142

Izv. Math. 80, No. 2, 285-298 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 2, 3-15 (2016).
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Asymptotic solutions of Fredholm integro-differential equations with rapidly varying kernels and irreversible limit operator. (English. Russian original) Zbl 1346.45001

Russ. Math. 59, No. 10, 1-15 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 10, 3-18 (2015).
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Regularization method for nonlinear integro-differential systems of Fredholm type with rapidly varying kernels. (English. Russian original) Zbl 1323.65124

Differ. Equ. 51, No. 2, 255-267 (2015); translation from Differ. Uravn. 51, No. 2, 251-262 (2015).
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The method of normal forms for singularly perturbed systems of Fredholm integro-differential equations with rapidly varying kernels. (English) Zbl 1278.45009

Sb. Math. 204, No. 7, 979-1002 (2013); translation from Mat. Sb. 204, No. 7, 47-70 (2013).
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Linear integral equations. Theory and technique. Reprint of the 2nd edition 1997. (English) Zbl 1259.45001

Modern Birkhäuser Classics. New York, NY: Birkhäuser (ISBN 978-1-4614-6011-4/pbk; 978-1-4614-6012-1/ebook). xiii, 318 p. (2013).
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Linear and nonlinear integral equations. Methods and applications. (English) Zbl 1227.45002

Berlin: Springer; Beijing: Higher Education Press (ISBN 978-3-642-21448-6/hbk; 978-7-04-031694-0; 978-3-642-21449-3/ebook). xviii, 639 p. (2011).
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Spectral approximation of linear operators. Reprint of the 1983 original published by Academic Press. (English) Zbl 1214.01004

Classics in Applied Mathematics 65. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-89871-999-4/pbk). xix, 458 p. (2011).
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Regularized asymptotics of solutions of systems of Fredholm integro-differential equations with rapidly varying kernels. (English. Russian original) Zbl 1177.45008

Differ. Equ. 45, No. 2, 226-239 (2009); translation from Differ. Uravn. 45, No. 2, 220-233 (2009).
Reviewer: Li Xing (Yinchuan)
MSC:  45M05 45J05 45L05
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A singular domain perturbation problem for the Poisson equation. (English) Zbl 1182.35096

Begehr, H. G. W. (ed.) et al., More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-283-562-8/hbk). 955-965 (2009).
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Method of differential inequalities for step-like contrast structures in singularly perturbed integro-differential equations in the spatially two-dimensional case. (English. Russian original) Zbl 1206.45013

Differ. Equ. 42, No. 5, 739-749 (2006); translation from Differ. Uravn. 42, No. 5, 690-700 (2006).
MSC:  45K05 45G10
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