SLOWLY VARYING SOLUTIONS OF A CLASS OF FIRST ORDER SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS

被引：0

作者：

Jaros, Jaroslav ^{[1
]}

Takasi, Kusano ^{[2
]}

机构：

[1] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Bratislava 84248, Slovakia

[2] Hiroshima Univ, Dept Math, Fac Sci, Higashihiroshima 7398526, Japan

来源：

ACTA MATHEMATICA UNIVERSITATIS COMENIANAE | 2013年 / 82卷 / 02期

关键词：

systems of differential equations; positive solutions; asymptotic behavior; regularly varying functions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We analyze positive solutions of the two-dimensional systems of non-linear differential equations (A) x ' + p(t)y(alpha) = 0, y ' + q(t)x(beta) = 0, (B) x ' = p(t)y(alpha), y ' = q(t)x(beta), in the framework of regular variation and indicate the situation in which system (A) (resp. (B)) possesses decaying solutions (resp. growing solutions) with precise asymptotic behavior as t -> infinity.

引用

页码：265 / 284

页数：20

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