ASYMPTOTIC AND OSCILLATORY BEHAVIOR OF SOLUTIONS OF A LINEAR-DIFFERENTIAL EQUATION

被引：1

作者：

ROVDER, J ^{[1
]}

机构：

[1] SLOVAK UNIV TECHNOL BRATISLAVA, DEPT MATH, CS-91724 TRNAVA, CZECHOSLOVAKIA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1992年 / 41卷 / 1-2期

关键词：

LINEAR DIFFERENTIAL EQUATION OF NTH ORDER; ASYMPTOTIC AND OSCILLATORY BEHAVIOR; ASYMPTOTIC FORMULA; FUNDAMENTAL SYSTEM;

D O I：

10.1016/0377-0427(92)90236-Q

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The linear differential equation y(n) + p(t)y(k) + q(t)y = 0 is considered. Under the assumption that ratios of certain powers of the coefficients and some of the derivatives of the equation are small, the asymptotic and oscillatory behaviour as t --> infinity of a fundamental set of solutions are given.

引用

页码：41 / 47

页数：7

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