Existence of nontrivial weak homoclinic orbits for second-order impulsive differential equations

Boundary value problems

Hui Fang¹  Hongbo Duan¹ 

[1] Department of Mathematics, Kunming University of Science and Technology, Kunming, China

关键词: Variational Method;    Hamiltonian System;    Cauchy Sequence;    Bounded Sequence;    Dominate Convergence Theorem;   

DOI  :  10.1186/1687-2770-2012-138

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A sufficient condition is obtained for the existence of nontrivial weak homoclinic orbits of second-order impulsive differential equations by employing the mountain pass theorem, a weak convergence argument and a weak version of Lieb’s lemma.

【 授权许可】

CC BY