Multiple homoclinic solutions for superquadratic Hamiltonian systems

In this article we study the existence of infinitely many homoclinic solutions for a class of second-order Hamiltonian systems $$ \ddot{u}-L(t)u+W_u(t,u)=0, \quad \forall t\in\mathbb{R}, $$ where L is not required to be either uniformly positive definite or coercive, and W is superquadratic a...

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Bibliographic Details
Main Authors: Wei Jiang, Qingye Zhang
Format: Article
Language:English
Published: Texas State University 2016-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/66/abstr.html