Stability criteria for a class of linear delay partial difference equations

Authors
Zhang, BG Tian, CJ
Citation
Bg. Zhang et Cj. Tian, Stability criteria for a class of linear delay partial difference equations, COMPUT MATH, 38(2), 1999, pp. 37-43
Citations number
17
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
38
Issue
2
Year of publication
1999
Pages
37 - 43
Database
ISI
SICI code
0898-1221(199907)38:2<37:SCFACO>2.0.ZU;2-7
Abstract
This paper is concerned with the linear delay partial difference equation a(i,j)u(i+1,j) + u(i,j+1) + b(i,j)u(i,j) + p(i.j)u(i -sigma, j - tau) = 0, where {a(i, j)}, {b(i, j)}, {p(i, j)}, i, j is an element of N-0, are real sequences. Sufficient conditions for this equation to be stable are derived . Some conditions for this equation to be unstable are obtained also. (C) 1 999 Elsevier Science Ltd. All rights reserved.