Existence of Homoclinic Orbits for a Singular Differential Equation Involving p-Laplacian

摘要

The efficient conditions guaranteeing the existence of homoclinic solutions to second-order singular differential equation with p-Laplacian ?px′t′+fx′t+gxt+ht/1?xt=et are established in the paper. Here, ?ps=sp?2s,p1,f,g,h,e∈C?,? with ht+T=ht. The approach is based on the continuation theorem for coincidence degree theory.