Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (3): 543-548.

Previous Articles     Next Articles

Positive Periodic Solution for Damped Duffing Equation with Singularity

Yao Shaowen, Cheng Zhibo   

  1. School of Mathematics and Information Science, Henan Polytechnic University, Henan Jiaozuo 454000
  • Received:2017-03-08 Revised:2017-08-26 Online:2018-06-26 Published:2018-06-26
  • Supported by:
    Supported by the NSFC (71601072, 11501170)

Abstract: By using Manasevich-Mawhin continuation theorem and some analysis skill, we establish some sufficient condition for existence of positive T -periodic solutions for a kind of damped Duffing equation with singularity. The results of this paper are new and they complement previous known results.

Key words: Positive periodic solution, Manasevich-Mawhin theorem, Singularity, Damped, Duffing equation

CLC Number: 

  • O175.11
Trendmd