Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems

Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems

Abstract By introducing a new superquadratic condition, we obtain the existence of two nontrivial homoclinic solutions for a class of perturbed second order Hamiltonian systems which are obtained by the mountain pass theorem and Ekeland’s variational principle.

Bibliographic Details
Main Authors: Chunhua Deng, Dong-Lun Wu
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:Boundary Value Problems
Subjects:
Multiple Homoclinic solutions
Perturbed second order Hamiltonian systems
Superquadratic conditions
The (C) condition
Variational methods
Online Access:http://link.springer.com/article/10.1186/s13661-018-0977-z

Internet

http://link.springer.com/article/10.1186/s13661-018-0977-z

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