固定位能的奇异Hamilton包含的守恒周期解

Conservative Periodic Solutions of Prescribed Average Potential Energy For Singular Hamiltonian Inclusions

本文证明了奇异Ｈａｍｉｌｔｏｎ包含－ｘ∈Ｗ（ｘ）固定位能的守恒周期解的存在性。这里Ｖ：ＲＮ＼｛０｝→Ｒ是局部Ｌｉｐｓｃｈｉｔａ连续函数，且在原点带有奇异性。

The existence of conservative periodic solutions of prescribed average potential energy for singular Hamiltonian inclusions -x∈W(x) is presented, where V:RN\{ 0 ) →R is a locally Lipschitz continuous function and has a singularity at x=0.