Global Existence and Asymptotic Behavior of Solutions of Nonlinear Differential Equations

被引：18

作者：

Mustafa, Octavian G. ^{[1
]}

Rogovchenko, Yuri V. ^{[2
]}

机构：

[1] Univ Craiova, Ctr Nonlinear Anal, Craiova, Romania

[2] Eastern Mediterranean Univ, Dept Math, TR-10 Mersin, Turkey

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2004年 / 47卷 / 02期

关键词：

Nonlinear differential equation; Second order; Global existence; Nonoscillatory solutions; Asymptotic behavior; Linear-like behavior at infinity; Radial solutions; Nonlinear elliptic equations;

D O I：

10.1619/fesi.47.167

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper addresses two open problems related to global existence of solutions with a "linear-like" behavior at infinity. For a class of second-order nonlinear differential equations, we establish global existence of solutions under milder assumption on the rate of decay of the coefficient. Furthermore, as opposed to results reported in the literature, we prove for another class of second-order nonlinear differential equations that the region of the initial data for the solutions with desired asymptotic behavior is unbounded and proper.

引用

页码：167 / 186

页数：20

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