On bounded solutions of nonlinear differential equations at resonance

被引：6
|
作者：
Karpinska, W [1 ]
机构：
[1] Univ Lodz, Dept Math, PL-90238 Lodz, Poland
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 51卷 / 04期
关键词：
differential equations; resonance; boundedness; unbounded domain;
D O I：
10.1016/S0362-546X(01)00854-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The bounded solutions of nonlinear differential equations at resonance were presented. A technique based involving an approach of fixed point theory and another one based on the topological idea of Leray-Schauder degree was studied. The nonlinearity of f having asymptotic behavior b = 0 was also dealt.
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页码：723 / 733
页数：11
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