Homoclinic solutions for Rayleigh type p-Laplacian equations with a deviating argument

Abstract

By applying an extension of Mawhin's continuation theorem and some analysis skills, the existence of a set with 2kT -periodic solutions for Rayleigh type p-Laplacian equations with a deviating argument is studied, and then a homoclinic solution is obtained as a limit of a certain subsequence of the above set.