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

By means of an extension of Mawhin’s continuation theorem and some analysis methods, the existence of a set with 2kT2kT-periodic solutions for a class of second-order pp-Laplacian systems with delay is studied, and then a homoclinic solution is obtained as a limit of a certain subsequence of the above set.