Discrete boundary value problems have been discussed extensively in the literature; see, for example, Agarwal et al. [1], Anderson et al. [5], and Avery et al. [6], as well as the references cited therein. In [1], the authors use critical point theory to establish the existence of multiple solutions of some regular as well as singular discrete boundary value problems. Solvability of a nonlinear...

It is the object of the present note to present a new nonlinear version of the orthogonal projection method for proving the existence of solutions of nonlinear elliptic boundary value problems. The key point in this method is the application of a new general theorem concerning the solvability of nonlinear functional equations in a reflexive Banach space involving operators which may not be cont...

In this paper, we study nonlinear second order differential inclusions with a multivalued maximal monotone term and nonlinear boundary conditions. We prove existence theorems for both the convex and nonconvex problems, when domA 6= R and domA = R , with A being the maximal monotone term. Our formulation incorporates as special cases the Dirichlet, Neumann and periodic problems. Our tools come f...