The existence of homoclinic orbits for hamiltonian systems with the potentials changing sign

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Abstract

This paper studies the existence of nontrival homoclinic orbits of the Hamiltonian systems q̈ - L(t)q + V'(t, q) = 0 by using the critical point theory, where the potential V(t, q) = b(t)W(q) can change sign. Under a new kind of "superquadratic" condition on W, some new results are obtained.

Original languageEnglish (US)
Pages (from-to)403-410
Number of pages8
JournalChinese Annals of Mathematics. Series B
Volume17
Issue number4
StatePublished - Dec 1 1996

Keywords

  • Critical point theory
  • Hamiltonian system
  • Homoclinic orbit

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