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Integral boundary-value problem with initial jumps for a singularly perturbed system of integrodifferential equations

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  • Dauylbayev, M.K.
  • Uaissov, B.

Abstract

In this work, we study an integral boundary-value problem for a singularly perturbed linear system of integrodifferential equations, which has the phenomena of initial jumps. An analytical formula and asymptotic estimations of the solution and its derivatives are obtained. It is established that the solution of the boundary-value problem at the left point of the segment has the phenomenon of an initial jump of the zero order. The convergence of a singularly perturbed integral boundary-value problem to the solution of a modified degenerate problem containing the initial jumps of the solution and integral terms is proved.

Suggested Citation

  • Dauylbayev, M.K. & Uaissov, B., 2020. "Integral boundary-value problem with initial jumps for a singularly perturbed system of integrodifferential equations," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    • Handle: RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920307232
    DOI: 10.1016/j.chaos.2020.110328
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    Cited by:

    1. Saeed Althubiti & Abdelaziz Mennouni, 2022. "A Novel Projection Method for Cauchy-Type Systems of Singular Integro-Differential Equations," Mathematics, MDPI, vol. 10(15), pages 1-11, July.

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