Existence of Solutions for a Class of Boundary Value Problems for Weighted $p(t)$-Laplacian Impulsive Systems

Abstract

In this paper we investigate a class of boundary value problems for weighted $p(t)$-Laplacian impulsive systems. We prove existence of at least one solution and existence of at least one nonnegative solution.  The arguments are based upon  of  recent  theoretical results on the fixed point theory for the sum of operators.