Homoclinic solutions for a class of second-order p-Laplacian differential systems with delay

Abstract By means of an extension of Mawhin’s continuation theorem and some analysis methods, the existence of a set with 2 k T -periodic solutions for a class of second-order p -Laplacian systems with delay is studied, and then a homoclinic solution is obtained as a limit of a certain subsequence of the above set.