Periodic solutions of nonlinear perturbations of φ-Laplacians with possibly bounded φ

被引：49

作者：

Bereanu, Cristian ^{[1
]}

Mawhin, Jean ^{[1
]}

机构：

[1] Catholic Univ Louvain, Dept Math, B-1348 Louvain, Belgium

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 06期

关键词：

phi-Laplacian; periodic solutions; continuation theorem; Leray-Schauder degree;

D O I：

10.1016/j.na.2006.12.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using Leray-Schauder degree theory we obtain various existence and multiplicity results for nonlinear periodic boundary-value problems of the form (phi(u'))' = f(t, u, u'), u(0) - u(T) = 0 = u'(0) - u'(T), where phi : R -->] -a, a [ (0 < a <= + infinity) is a homeomorphism, phi(0) = 0 and f : [0, T] x R-2 --> R is a continuous function. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1668 / 1681

页数：14

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