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BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS

ISSN
2518-7929
2663-5011
Издатель
Karaganda Buketov University
Ключевые слова

Differential Equation...

Nonlinear Differentia...

Stability and Control...

Differential Equation...

Advanced Topology and...

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20181

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    Asymptotic convergence of the solution for singularly perturbed boundary value problem with boundary jumps
    (Karaganda Buketov University, 2018-12-30)
    A. E. Mirzakulova
    ;
    Н. Атахан
    ;
    N. Asset
    ;
    А.С. Рысбек
    Asymptotic convergence of the solution for singularly perturbed boundary value problem with boundary jumpsThe article is devoted to study of boundary value problem with boundary jumps for third order linear integro-differential equation with a small parameter at the highest derivatives, provided that additional characteristic equation's roots have opposite signs.The modified unperturbed boundary value problem is constructed.The solution of modified unperturbed problem is obtained.Initial jumps' values of the integral term and solution are defined.An estimate difference of solution for singularly perturbed and modified unperturbed boundary value problems is obtained.The convergence of solution for singularly perturbed boundary value problem to solution of modified unperturbed boundary value problem is proved.
    Цитирования (OpenAlex) 6Цитирования (OpenCitations) 1