Journal of East China Normal University(Natural Sc ›› 2006, Vol. 2006 ›› Issue (1): 40-44,1.

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Multi-periodic Solutions for A Class of Resonance Second Order Systems(Chinese)

MENG Hai-xia1, GUO Xiao-feng2   

  1. 1. College of Mathematics and Physics , Lanzhou Jiaotong University, Lanzhou 730070, China; 2. Department of Applied Mathematics , Xidian University , Xi'an 710071, China
  • Received:2004-09-20 Revised:2005-01-19 Online:2006-01-25 Published:2006-01-25
  • Contact: MENG Hai-xia

Abstract: The existence and multiplicity of periodic solutions are obtained for a class of su-perquadratic resonance nonautonomous second order systems ü(t)+k2ω2u+▽F(t, u(t)) = 0, a.e.t ∈ [0,T] by Z2 version of the Mountain Pass Theorem on the condition that is unbounded.

Key words: resonance, superquadratic, Z2 version of the Mountain Pass Theorem, nonautonomous, periodic solution, critical point, second order systems, resonance, superquadratic, Z2 version of the Mountain Pass Theorem, nonautonomous, periodic solution, critical point

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