MONOTONE ENCLOSURE FOR A CLASS OF DISCRETE BOUNDARY-VALUE-PROBLEMS WITHOUT MONOTONE NONLINEARITIES

Authors
WANG YM
Citation
Ym. Wang, MONOTONE ENCLOSURE FOR A CLASS OF DISCRETE BOUNDARY-VALUE-PROBLEMS WITHOUT MONOTONE NONLINEARITIES, Computers & mathematics with applications, 35(6), 1998, pp. 51-60
Citations number
11
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
35
Issue
6
Year of publication
1998
Pages
51 - 60
Database
ISI
SICI code
0898-1221(1998)35:6<51:MEFACO>2.0.ZU;2-C
Abstract
A new concept of a pair of upper and lower solutions is introduced for a class of discrete boundary value problems without monotone nonlinea rities. Some comparison results are established. An existence and encl osing theorem for the solutions is given in terms of upper and lower s olutions. A new monotone iterative scheme is proposed. The numerical e xample is given.