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
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
Copyright © 1999 Yuan-Ming Wang and Ravi P. Agarwal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.