Asymptotics of solutions of discontinuous singularly perturbed boundary-value problems

被引：3

作者：

Mel'nik T.A. ^{[1
]}

机构：

[1] Odessa University, Odessa

来源：

Ukrainian Mathematical Journal | 1999年 / 51卷 / 6期

关键词：

Cauchy Problem; Asymptotic Expansion; Singularly Perturb; Functional Determinant; Degenerate Problem;

D O I：

10.1007/BF02591985

中图分类号：

学科分类号：

摘要：

We construct an asymptotic expansion of a solution of the boundary-value problem for a singularly perturbed system of differential equations with the right-hand side discontinuous at certain surface. © 2000 Kluwer Academic/Plenum Publishers.

引用

页码：963 / 967

页数：4

共 3 条

[1]

Vasil'eva, A.B., Butuzov, V.F., (1973) Asymptotic Expansions of Solutions of Singularly Perturbed Equations [in Russian], , Nauka, Moscow

[2]

Mel'nik, T.A., Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem (1994) Ukr. Mat. Zh., 46 (11), pp. 1502-1508

[3]

Plotnikov, V.A., (1993) Asymptotic Methods in the Theory of Differential Equations with Discontinuous Right-Hand Side [in Russian], , Preprint 93.27, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

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