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July  2009, 12(1): 251-260. doi: 10.3934/dcdsb.2009.12.251

Some existence results on periodic and subharmonic solutions of ordinary $P$-Laplacian systems

Yuxiang Zhang 1, and  Shiwang Ma 1,

1. 

School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China

Received  May 2008 Revised  February 2009 Published  May 2009

Some existence theorems are obtained for periodic and subharmonic solutions of ordinary $P$-Laplacian systems by the minimax methods in critical point theory.
Keywords: Periodic solution; subharmonic solution; $p$-Laplacian system; subquadratic condition; Minimax methods..
Mathematics Subject Classification: Primary: 34B15, 34B18; Secondary: 34C2.
Citation: Yuxiang Zhang, Shiwang Ma. Some existence results on periodic and subharmonic solutions of ordinary $P$-Laplacian systems. Discrete and Continuous Dynamical Systems - B, 2009, 12 (1) : 251-260. doi: 10.3934/dcdsb.2009.12.251
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