Infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems

Xiang Lv

Applied Mathematics and Computation, 2016, vol. 290, issue C, 298-306

Abstract: In this paper, we mainly consider the existence of infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems u¨−L(t)u+Wu(t,u)=0, where L(t) is not necessarily positive definite and the growth rate of potential function W can be in (1, 3/2). Using the variant fountain theorem, we obtain the existence of infinitely many homoclinic solutions for the second-order Hamiltonian systems.

Keywords: Homoclinic solutions; Hamiltonian systems; Variational methods (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:290:y:2016:i:c:p:298-306

DOI: 10.1016/j.amc.2016.06.014

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