On local asymptotic expansions of solutions of singularly perturbed systems of differential equations with degeneration at a point

被引：0

作者：

Shkil', M. I. ^{[1
]}

机构：

[1] Natl Pedag Univ, Kiev, Ukraine

来源：

NONLINEAR OSCILLATIONS | 2009年 / 12卷 / 02期

关键词：

D O I：

10.1007/s11072-009-0077-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose an algorithm for the construction of asymptotic solutions of singularly perturbed systems of differential equations in the case where the characteristic equation has simple roots. In contrast to previous investigations, in which the matrix multiplying the derivatives becomes degenerate on the entire interval, we study the case where degeneration occurs at a single point.

引用

页码：289 / 295

页数：7