Linear asymptotic behaviour of second order ordinary differential equations

被引：13

作者：

Ehrnstrom, Mats ^{[1
]}

机构：

[1] Lund Univ, Ctr Math Sci, S-22100 Lund, Sweden

来源：

GLASGOW MATHEMATICAL JOURNAL | 2007年 / 49卷

关键词：

D O I：

10.1017/S0017089507003461

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the semilinear differential equation u" + F(t, u, u') = 0 on a half-line. Under different growth conditions on the function F, equations with globally defined solutions asymptotic to lines are characterized. Both fixed initial data and fixed asymptote are considered.

引用

页码：105 / 120

页数：16

共 20 条

[1]

[Anonymous], ELECT J DIFFER EQU

[2]

ATKINSON FV, 1955, PAC J MATH, V5, P643

[3]

Bielecki A., 1956, Bull. Acad. Polon. Sci. Ser. Sci. Math. Phys. Astr, V4, P261

[4] Global existence of solutions for perturbed differential equations. [J].