Mathematical Problems in Engineering 
Volume 5 (1999), Issue 4, Pages 291-315
doi:10.1155/S1024123X99001106

Monotone methods for solving a boundary value problem of second order discrete system

Yuan-Ming Wang1 and Ravi P. Agarwal2

 1Department of Mathematics, East China Normal University, Shanghai 200062, China
2Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore
Received 1 June 1999

Abstract

A new concept of a pair of upper and lower solutions is introduced for a boundary value problem of second order discrete system. A comparison result is given. An existence theorem for a solution is established in terms of upper and lower solutions. A monotone iterative scheme is proposed, and the monotone convergence rate of the iteration is compared and analyzed. The numerical results are given.