Algorithm of the Regularization Method for a Nonlinear Singularly Perturbed Integro-Differential Equation with Rapidly Oscillating Inhomogeneities
Bobodzhanov A.A. Kalimbetov B.T. Safonov V.F.
March 2022Pleiades journals
Differential Equations
2022#58Issue 3392 - 404 pp.
Abstract: Lomov’s regularization method is generalized to nonlinear singularly perturbedintegro-differential equations with rapidly oscillating right-hand side. The influence of the kernelof the integral operator, the nonlinearity, and the rapidly oscillating part on the asymptotics ofthe solution of the initial value problem for these equations is established. Previously, singularlyperturbed linear systems of this type and nonlinear systems without oscillating inhomogeneitywere studied.
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National Research University “Moscow Power Engineering Institute”, Moscow, 111250, Russian Federation
Akhmet Yassawi International Kazakh–Turkish University, Turkestan, Kazakhstan
National Research University “Moscow Power Engineering Institute”
Akhmet Yassawi International Kazakh–Turkish University
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