Advances in Difference Equations
Volume 2004 (2004), Issue 1, Pages 11-22
doi:10.1155/S1687183904310046

Finite difference schemes with monotone operators

N.C. Apreutesei

Department of Mathematics, Technical University “Gh. Asachi” of Iasi, 11, Bd. Carol I, Iasi 700506, Romania

Abstract

Several existence theorems are given for some second-order difference equations associated with maximal monotone operators in Hilbert spaces. Boundary conditions of monotone type are attached. The main tool used here is the theory of maximal monotone operators.