Existence of solutions for weighted p(t)p(t)-Laplacian system multi-point boundary value problems

This paper investigates the existence of solutions for weighted p(t)p(t)-Laplacian system multi-point boundary value problems. Our method is based on Leray–Schauder’s degree. We give the existence of solutions when the nonlinearity term f(t,⋅,⋅)f(t,⋅,⋅) satisfies sub-p−p− growth condition or general growth condition, respectively. Moreover, the existence of nonnegative and positive solutions has been discussed.