吉首大学学报：自然科学版Issue(3)：14-18,5.
位势可变号的二阶自伴差分系统的同宿轨道（英文）
Homoclinic Orbits for Second Order Self-Adjoint Difference System with a Change of Sign in the Potential
摘要
Abstract
The authors we study the existence of nontrivial homoclinic orbits of the second self-adjoint difference systemΔ2 u（t-1）-q（t）u（t）＋▽V（t,u（t））=0 t∈Z,u∈Rm.Under superquadratic conditions,by using the Mountain Pass Theorem and the Symmetric Mountain Pass Theorem,some existence theorems are established for the existence of homoclinic orbits for the above nonautonomous Hamiltonian systems with a change of sign in the potential.关键词
同宿轨道/差分系统/山路引理Key words
homoclinic orbits/difference system/Mountain Pass Theorem分类
数学引用本文复制引用
何小飞,陈鹏..位势可变号的二阶自伴差分系统的同宿轨道（英文）[J].吉首大学学报：自然科学版,2011,(3):14-18,5.基金项目
Scientific Research Fund of Hunan Province （）
