Algorithm of the Regularization Method for a Nonlinear Singularly Perturbed Integro-Differential Equation with Rapidly Oscillating Inhomogeneities View Full Text


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Article Info

DATE

2022-03

AUTHORS

A. A. Bobodzhanov, B. T. Kalimbetov, V. F. Safonov

ABSTRACT

Lomov’s regularization method is generalized to nonlinear singularly perturbed integro-differential equations with rapidly oscillating right-hand side. The influence of the kernel of the integral operator, the nonlinearity, and the rapidly oscillating part on the asymptotics of the solution of the initial value problem for these equations is established. Previously, singularly perturbed linear systems of this type and nonlinear systems without oscillating inhomogeneity were studied. More... »

PAGES

392-404

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Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/s0012266122030090

DOI

http://dx.doi.org/10.1134/s0012266122030090

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1148225394


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