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

共 6 条

[1]

Bodine S, 2015, LECT NOTES MATH, V2129, P1, DOI 10.1007/978-3-319-18248-3

[2]

Coppel W. A., 1965, STABILITY ASYMPTOTIC

[3]

Dosly O., 2005, Half-linear Differential Equations

[4]

Hartman P, 1982, Ordinary differential equations, V2nd

[5]

Mizukami M., 2002, HIROSHIMA MATH J, V32, P51

[6] Sharp conditions for the existence of sign-changing solutions to equations involving the one-dimensional p-Laplacian [J].

Naito, Yuki ;

Tanaka, Satoshi .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (09) :3070-3083

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