New homoclinic solutions for a class of second-order Hamiltonian systems with a mixed condition

New homoclinic solutions for a class of second-order Hamiltonian systems with a mixed condition

Abstract In this paper, we introduce a new mixed condition to obtain a new compact embedding theorem. Under this theorem, we study the existence and multiplicity of nontrivial homoclinic solutions for a class of second-order Hamiltonian systems with variable separated type nonlinear terms.

Bibliographic Details
Main Authors: Xuefeng Li, Jin Jia
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Boundary Value Problems
Subjects:
Homoclinic solutions
Second-order Hamiltonian systems
Mixed condition
Embedding theorem
Variational methods
Online Access:http://link.springer.com/article/10.1186/s13661-018-1052-5

Internet

http://link.springer.com/article/10.1186/s13661-018-1052-5

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