New results on the existence of periodic solutions for a higher-order Liénard type p-Laplacian differential equation

摘要

In this paper, by using the continuation theorem of coincidence degree theory, we consider the higher-order Liénard type p-Laplacian differential equation as follows (φp(x~((m))))~((m))+f(x) x′+g(t,x)=e(t). Some new results on the existence of periodic solutions for the previous equation are obtained, which generalize and enrich some known results to some extent from the literature.