Existence of periodic solutions for $p$-Laplacian neutral functional equation with multiple deviating arguments

Abstract

By using the theory of coincidence degree and some refined analysis techniques, we study a general kind of periodic solutions to $p$-Laplacian neutral functional differential equation with multiple deviating arguments. A general analysis method to tackle with such equations is formed. Some new and universal results on the existence of periodic solutions are obtained, meanwhile, some known results in the literatures are improved. An example is provided as an application to our theorems.