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Asymptotic convergence of the solution for singularly perturbed boundary value problem with boundary jumps
Автор(ы)
Дата публикации
30 декабря 2018 г.
Тип
journal article
Издатель
Karaganda Buketov University
Том
92
Выпуск
4
Первая страница
64
Последняя страница
71
ISSN
2518-7929
Аннотация
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.
Области науки (FoS)