Citation
Sg. Deo et al., Qualitative properties of nonlinear difference systems, APPL MATH C, 123(1), 2001, pp. 27-36
Citations number
4
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003
→ ACNP
Volume
123
Issue
1
Year of publication
2001
Pages
27 - 36
Database
ISI
SICI code
0096-3003(20010910)123:1<27:QPONDS>2.0.ZU;2-1
Abstract
This paper gives criteria for the existence and uniqueness of solutions to
two and multipoint boundary value problems associated with a typical system
of kth order nonlinear Lyapunov system. A variation of parameters formula
for nonlinear kth order system is established. Using this formula, we also
study various concepts of stability and establish sufficient conditions for
the kth order difference system to be Lipschitz stable and uniform Lipschi
tz stable. (C) 2001 Published by Elsevier Science Inc.