Landesman-Lazer type conditions for a system of p-Laplacian like operators

被引：10

作者：

Amster, Pablo

De Napoli, Pablo

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina

[2] Consejo Nacl Invest Cient & Tecn, RA-1033 Buenos Aires, DF, Argentina

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 326卷 / 02期

关键词：

p-Laplacian systems; Landesman-Lazer conditions;

D O I：

10.1016/j.jmaa.2006.04.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of periodic solutions for a nonlinear second order system of ordinary differential equations of p-Laplacian type. Assuming suitable Nagumo and Landesman-Lazer type conditions we prove the existence of at least one solution applying topological degree methods. We extend a celebrated result by Nirenberg for resonant systems. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1236 / 1243

页数：8

共 12 条

[1]

AMSTER P, IN PRESS NODEA NONLI

[2] Existence result for the problem (φ(u′))′=f(t,u,u′) with periodic and Neumann boundary conditions. [J].