ASYMPTOTIC EXPANSION OF THE SOLUTION FOR SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM WITH BOUNDARY JUMPS

Erkomekovna M.A. Kudaibergenovich D.M.
2023 University of Miskolc

Miskolc Mathematical Notes
2023 #24 Issue 1 309 - 324 pp.

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.

asymptotic , boundary jump , singular perturbation , small parameter

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Al-Farabi Kazakh National University, Department of Mechanics and Mathematics, al-Farabi 71, Almaty, 050040, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Pushkin 125, Almaty, Kazakhstan
Institute of Computing and Information Technologies, Pushkin 125, Almaty, Kazakhstan

Al-Farabi Kazakh National University
Institute of Mathematics and Mathematical Modeling
Institute of Computing and Information Technologies

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