2ND-ORDER DIFFERENCE-SYSTEMS IN UNBOUNDED-DOMAINS - EXISTENCE CONDITIONS AND CONSTRUCTION OF EXACT AND APPROXIMATE BOUNDED SOLUTIONS

Authors
JODAR L PONSODA E FERNANDEZ ML
Citation
L. Jodar et al., 2ND-ORDER DIFFERENCE-SYSTEMS IN UNBOUNDED-DOMAINS - EXISTENCE CONDITIONS AND CONSTRUCTION OF EXACT AND APPROXIMATE BOUNDED SOLUTIONS, Applied mathematics and computation, 71(2-3), 1995, pp. 271-287
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
71
Issue
2-3
Year of publication
1995
Pages
271 - 287
Database
ISI
SICI code
0096-3003(1995)71:2-3<271:2DIU-E>2.0.ZU;2-W
Abstract
In this paper existence conditions and explicit expressions of bounded solutions for nonhomogeneous second-order difference systems defined in unbounded domains are given. Bounded solutions are expressed in ter ms of series involving a bounded fundamental matrix solution. Computab le approximate solutions are constructed and error bounds in terms of the data are given.