Stability of difference Volterra equations: Direct Liapunov method and numerical procedure

Authors
Crisci, MR Kolmanovskii, VB Russo, E Vecchio, A
Citation
Mr. Crisci et al., Stability of difference Volterra equations: Direct Liapunov method and numerical procedure, COMPUT MATH, 36(10-12), 1998, pp. 77-97
Citations number
14
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
36
Issue
10-12
Year of publication
1998
Pages
77 - 97
Database
ISI
SICI code
0898-1221(199811/12)36:10-12<77:SODVED>2.0.ZU;2-H
Abstract
A procedure to construct Liapunov functionals for discrete Volterra equatio ns is proposed. Using this procedure stability conditions are derived for g eneral Volterra difference equations. Some applications of the proposed pro cedure for obtaining stability conditions for linear multistep methods for Volterra integro-differential equations are presented. (C) 1998 Elsevier Sc ience Ltd. All rights reserved.