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.
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页码：41 / 47
页数：7
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