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Article · Miskolc mathematical notes/Mathematical notes · January 1, 2023

Asymptotic expansion of the solution for singularly perturbed boundary value problem with boundary jumps

A. E. Mirzakulova, M. K. Dauylbayev

Abstract

We consider the two-point integral boundary value problem with boundary jumps for third order linear integro-differential equation with the small parameter at two highest derivatives.An asymptotic expansion of the solution of the integral boundary value problem with any degree of accuracy with respect to a small parameter was constructed.A justification of the asymptotic is provided.

Differential Equations and Numerical MethodsDifferential Equations and Boundary ProblemsNonlinear Differential Equations Analysisasymptotic expansionsingular perturbationboundary value problems

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