ASYMPTOTIC SOLUTIONS OF A SINGULARLY PERTURBED LINEAR SYSTEM OF DIFFERENTIAL EQUATIONS WITH IRREGULAR SINGULAR POINT

被引：0

作者：

Yakovets', V. P. ^{[1
]}

Holovchenko, O. V. ^{[1
]}

机构：

[1] Nizhyn State Univ, Nizhyn, Ukraine

来源：

NONLINEAR OSCILLATIONS | 2009年 / 12卷 / 03期

关键词：

D O I：

10.1007/s11072-010-0086-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a singularly perturbed system of differential equations with irregular singular point. We prove that, in the general case of multiple elementary divisors, the corresponding asymptotic expansions can be constructed in the form of double series in fractional powers of the parameter and the ratio of the independent variable to the parameter.

引用

页码：429 / 445

页数：17