Homoclinic solutions for a class of second-order \(p\)-Laplacian differential systems with delay (Q611304)

The author considers a class of second-order \(p\)-Laplacian systems with delay. By means of an extension of Mawhin's continuation theorem, some sufficient conditions for the existence of a set with \(2k\)T-periodic solutions of the addressed systems are obtained. In addition, a homoclinic solution is also obtained as a limit of a certain subsequence of the above set. The methods used in this paper are different from the approach in the literature. Moreover, the results in this paper are delay-dependent.