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Ukrainian Mathematical Journal

, Volume 66, Issue 3, pp 454–466 | Cite as

Infinitely Many Fast Homoclinic Solutions for Some Second-Order Nonautonomous Systems

  • Liu Yang
  • Liping Luo
  • Zhenguo Luo
Article
  • 45 Downloads

We investigate the existence of infinitely many fast homoclinic solutions for a class of second-order nonautonomous systems. Our main tools are based on the variant fountain theorem. A criterion guaranteeing that the second-order system has infinitely many fast homoclinic solutions is obtained. Recent results from the literature are generalized and significantly improved.

Keywords

Hamiltonian System Homoclinic Orbit Weighted Sobolev Space Homoclinic Solution Positive Continuous Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Liu Yang
    • 1
  • Liping Luo
    • 1
  • Zhenguo Luo
    • 1
  1. 1.Hengyang Normal UniversityHengyangChina

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