一类含有扰动项的常p-Laplace Hamilton系统周期解的存在性

Existence of Periodic Solutions for a Class of Ordinary p-Laplacian Hamiltonian Systems with Perturbation Terms

利用鞍点定理证明了一类含有扰动项的常p-Laplace二阶Hamilton系统在一个局部渐进p-二次条件下的周期解的存在性,推广了某些已有的结果.

In this paper,the existence of periodic solutions for a class of ordinary p-Laplace Hamiltonian systems with perturbation term under a locally asymptotically p-quadratic condition is proven,and some existent results are generalized.