Homoclinics for asymptotically quadratic and superquadratic Hamiltonian systems

Yanheng Ding, Cheng Lee

研究成果: Article

46 引文 斯高帕斯(Scopus)

摘要

In this paper, we find new conditions, which are different from those used in previous related studies, to ensure the existence of infinitely many homoclinic orbits for the second order Hamiltonian systems of the form - over(q, ̈) = Vq (t, q) . Here, we assume that V (t, q) depends periodically on t, and assume, on q, that V (t, q) is asymptotically quadratic at q = 0 and is, as | q | → ∞, either asymptotically quadratic or superquadratic, as well as the new conditions.

原文English
頁(從 - 到)1395-1413
頁數19
期刊Nonlinear Analysis, Theory, Methods and Applications
71
發行號5-6
DOIs
出版狀態Published - 2009 九月 1

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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