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.

引用

页码：723 / 733

页数：11

共 16 条

[1]

[Anonymous], 1987, ANN POL MATH, DOI DOI 10.4064/AP-47-3-331-346

[2]

[Anonymous], DISS MATH

[3]

[Anonymous], REGIONAL C SERIES MA

[4] INFINITE INTERVAL BOUNDARY VALUE PROBLEMS FOR Y'' = F(X,Y) [J].

BEBERNES, JW ;

JACKSON, LK .

DUKE MATHEMATICAL JOURNAL, 1967, 34 (01) :39-&

[5]

DALETSKII YL, 1950, UKRAINIAN MATH J, V2

[6]

Daletskii Yu. L., 1970, Stability of Solutions of Differential Equations in Banach Space

[7]

DUGUNDJI J, 1981, FIXED POINT THEORY, V1

[8]

GROSS OA, 1963, J MATH ANAL APPL, V7, P100

[9]

KREIN MG, 1968, LINEAR DIFFERENTIAL

[10]

Lloyd N. G., 1978, DEGREE THEORY

← 1 2 →