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.
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页码：27 / 39
页数：13
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