Boundary value problems for second-order nonlinear difference equations with discrete φ-Laplacian and singular φ

Abstract

In this article, we study the existence and multiplicity of solutions for boundary value problems of the type where denotes an increasing homeomorphism such that and denotes the Dirichlet, periodic or Neumann boundary conditions and f k are continuous functions. Our main tool is Brouwer degree together with fixed point reformulations of the above problems.