Global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations

被引：83

作者：

Mustafa, OG

Rogovchenko, YV ^{[1
]}

机构：

[1] Eastern Mediterranean Univ, Dept Math, TRNC, Mersin 10, Turkey

[2] Univ Craiova, Dept Math, Craiova, Romania

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 51卷 / 02期

关键词：

prescribed asymptotic behavior; global existence; non-oscillatory solutions; nonlinear second-order differential equation; fixed point theory; linear-like" behavior at infinity;

D O I：

10.1016/S0362-546X(01)00834-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations was presented. A series of general theorems on the indefinite extension of the solutions were obtained in terms of Lyapunov functions and related comparison equations. Results showed that the investigation of solutions with a linear like behavior at infinity was closely related to the problem of existence of monotone solutions and was almost constant at infinity solutions.

引用

页码：339 / 368

页数：30

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