ASYMPTOTIC FORMS OF SOLUTIONS OF PERTURBED HALF-LINEAR ORDINARY DIFFERENTIAL EQUATIONS

被引：3

作者：

Luey, Sokea ^{[1
]}

Usami, Hiroyuki ^{[2
]}

机构：

[1] Gifu Univ, Grad Sch Engn, Gifu 5011193, Japan

[2] Gifu Univ, Fac Engn, Gifu 5011193, Japan

来源：

ARCHIVUM MATHEMATICUM | 2021年 / 57卷 / 01期

关键词：

half-linear ordinary differential equation; asymptotic form;

D O I：

10.5817/AM2021-1-27

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Asymptotic forms of solutions of half-linear ordinary differential equation (vertical bar u'|(alpha-1)u')' = alpha(1+b(t)) vertical bar u(vertical bar alpha-1)u are investigated under a smallness condition and some signum conditions on b(t). When alpha = 1, our results reduce to well-known ones for linear ordinary differential equations.

引用

页码：27 / 39

页数：13

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