科研之友
微信
新浪微博
Facebook
分享链接
摘要
In this article, we sutdy the multiplicity of homoclinic solutions to the perturbed second-order discrete Hamiltonian system Delta[P(n)Delta(n -1)] -L(n),u(n) + del W(n,u(n)) + theta del F(n, u(n)) - 0, where L(n) and W(n, x) are neither autonomous nor periodic in n. Under the assumption that W (n, x) is only locally superquardic as \x\ --> infinity and even in x and F(n, x) is a perturbation term, we establish some existence criteria to guarantee that the above system has multiple homoclinic solutions by minimax method in critical point theory.
