JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (12): 42-46.doi: 10.6040/j.issn.1671-9352.0.2015.627

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Existence of periodic solutions for a class of Hamiltonian systems with p-Laplace

  

  1. School of Mathematics and Statistics, Nanjing University of Information Science &
    Technology, Nanjing 210044, Jiangsu, China
  • Received:2015-12-29 Online:2016-12-20 Published:2016-12-20

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Abstract: By introducing a new control function, the existence of periodic solutions for a class of Hamiltonian systems with p-Laplace by using the minimax methods in critical point theory is considered. Some new existence theorems are obtained via saddle point theorem.

Key words: periodic solutions, p-Laplacian systems, saddle point theorem

CLC Number: 

  • O175.12
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