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

Boundary Value Problems

Xuefeng Li¹  Jin Jia¹ 

[1] Western China Center for Economic Research, Southwestern University of Finance and Economics;

关键词: Homoclinic solutions;    Second-order Hamiltonian systems;    Mixed condition;    Embedding theorem;    Variational methods;   

DOI  :  10.1186/s13661-018-1052-5

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown