The stability of certain partial difference equations

Authors
Zhang, BG Deng, XH
Citation
Bg. Zhang et Xh. Deng, The stability of certain partial difference equations, COMPUT MATH, 42(3-5), 2001, pp. 419-425
Citations number
12
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
42
Issue
3-5
Year of publication
2001
Pages
419 - 425
Database
ISI
SICI code
0898-1221(200108/09)42:3-5<419:TSOCPD>2.0.ZU;2-W
Abstract
This paper is concerned with the linear delay partial difference equation u(i,j + 1) = a(i,j)u(i + 1,j) + b(i,j)u(i,j) + p(i,j)u(i - sigma, j - tau), where sigma and tau are positive integers, a(i, j), b(i, j), p(i,j) are rea l sequences defined on i greater than or equal to sigma, j greater than or equal to tau. Sufficient conditions for this equation to be stable are deri ved. Stability of certain nonlinear partial difference equations is studied also. (C) 2001 Elsevier Science Ltd. All rights reserved.