A linear system of differential equations with small parameter at a part of derivatives, a deviation of the argument, and a turning point

被引：0

作者：

Klyuchnyk I.G. ^{[1
]}

Zavizion G.V. ^{[2
]}

机构：

[1] T. Shevchenko National University of Kyiv, Kyiv 01033, 64, Volodymyrs'ka Str.

[2] V. Vynnychenko Kirovograd State Pedagogical University, Kirovograd 25006, 1, Shevchenko Str.

来源：

Journal of Mathematical Sciences | 2011年 / 175卷 / 2期

关键词：

deviation of the argument; Linear system; small parameter; turning point;

D O I：

10.1007/s10958-011-0339-1

中图分类号：

学科分类号：

摘要：

For a system of differential equations with small parameter at a part of derivatives, a linear deviation of the argument, and a turning point, we obtained conditions, under which its solutions are solutions of a system of differential equations with small parameter at a part of derivatives such that its matrices possess the asymptotic expansions at {pipe}ε{pipe} ≤ ε0 with the coefficients holomorphic at {pipe}x{pipe} ≤ x0. The existence and the infinite differentiability of a solution of the system of differential equations with small parameter at a part of derivatives and with a linear deviation of the argument in the presence of a turning point are proved. © 2011 Springer Science+Business Media, Inc.

引用

页码：131 / 149

页数：18

共 17 条

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