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
Received 13 October 2003; Revised 10 December 2003

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.