Solvability of Three-Point Boundary Value Problems at Resonance with a p -Laplacian on Finite and Infinite Intervals

Abstract

Three-point boundary value problems of second-order differential equation with a p-Laplacian on finite and infinite intervals are investigated in this paper. By using a new continuation theorem, sufficient conditions are given, under the resonance conditions, to guarantee the existence of solutions to such boundary value problems with the nonlinear term involving in the first-order derivative explicitly.