Asymptotic behavior of the solutions of boundary-value problems for singularly perturbed integro-differential equations

Ukrains’kyi Matematychnyi Zhurnal 2026 Open access

Read full text
Authors: M. K. Dauylbayev, A. B. Uaissov
DOI: 10.3842/umzh.v71i11.1529
Cited by: 0

Abstract

UDC 517.928 We study the asymptotic behavior of the solutions of a boundary-value problem with boundary jumps for linear integrodifferential equations of the third order with small parameters at the two highest derivatives. The asymptotic convergence of the solution of a singularly perturbed integrodifferential boundary-value problem to the solution of the corresponding modified degenerate boundary-value problem is proved.

Fields of Study & Subjects

Differential Equations and Numerical Methods Differential Equations and Boundary Problems Nonlinear Differential Equations Analysis

Publication details

Journal / source
Ukrains’kyi Matematychnyi Zhurnal
Volume
71
Issue
11
Pages
1466–1479
Publication date
9 February 2026
Language
EN