一类二阶渐近周期Hamilton系统同宿轨道
Homoclinic Orbits for a Class of Asymptotically Periodic Second Order Hamiltonian Systems
摘要
运用变分方法讨论二阶渐近周期Hamilton系统 -u+L(t)u=(1+g(t))V'(t,u)的Lagrange泛函在流形上的极小问题,进而证明该系统存在非平凡同宿轨道,其中L,V关于t是周期的,g(t)→0(|t|→∞).
In this paper we study existence of homoclinic orbits of second order Hamiltonian system
with variational methods , where L and V are periodic in t , g(t)→0( |t|→∞) .
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