Open Access Research

Infinitely many periodic solutions for some second-order differential systems with p(t)-Laplacian

Liang Zhang, Xian Hua Tang* and Jing Chen

Author Affiliations

School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P. R. China

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Boundary Value Problems 2011, 2011:33  doi:10.1186/1687-2770-2011-33

Published: 14 October 2011

Abstract

In this article, we investigate the existence of infinitely many periodic solutions for some nonautonomous second-order differential systems with p(t)-Laplacian. Some multiplicity results are obtained using critical point theory.

2000 Mathematics Subject Classification: 34C37; 58E05; 70H05.

Keywords:
p(t)-Laplacian; Periodic solutions; Critical point theory