Existence of solutions and nonnegative solutions for weighted p(r)-Laplacian impulsive system multi-point boundary value problems

This paper investigates the existence of solutions for weighted p(r)-Laplacian impulsive system multi-point boundary value problems. Our analysis is based on Gaines and Mawhin's coincidence degree theory. Several criteria for the existence of solutions are given. In particular, we obtain the existence of nonnegative solutions.