Journal of Jilin University Science Edition

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Infinitely Many Periodic Solutions for a Class ofSuperlinear p(t)-Laplacian Systems

ZHANG Shengui   

  1. College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, China
  • Received:2013-04-09 Online:2014-01-26 Published:2014-03-05
  • Contact: ZHANG Shengui E-mail:zhangshengui315@163.com

Abstract:

Using critical point theory, the author studied the existence of periodic solutions for nonautonomous p(t)-Laplacian systems with superlinear nonlinearity. Some sufficient conditions for the existence of infinitely many periodic solutions were obtained via the symmetric mountain pass theorem.

Key words: periodic solution, p(t)-Laplacian system, critical point theory

CLC Number: 

  • O175.12