๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Stability criteria for a class of linear delay partial difference equations

โœ Scribed by B.G. Zhang; Chuan Jun Tian


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
285 KB
Volume
38
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis


This paper is concerned with the linear delay partial difference equation

where {a(i, j)}, {b(i, j)}, {p(i, j)}, i, j E No, are real sequences. Sufficient conditions for this equation to be stable are derived. Some conditions for this equation to be unstable are obtained also.


๐Ÿ“œ SIMILAR VOLUMES


Stability criteria for two partial diffe
โœ Yi-Zhong Lin; Sui Sun Cheng ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 787 KB

This paper is concerned with two classes of linear partial difference equations with constant coefficients. Explicit conditions are derived, which are sufficient and/or necessary for these equations to have stable solutions.

Oscillation criteria of a class of parti
โœ B.G. Zhang; C.J. Tian ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 601 KB

This paper is concerned with the linear delay partial difference equation aAm+l,n+l ~ bAm+l,n ~ cAm,n+1 -dAm,n ~-pm,nAm-a,n-~" = O, where a and ~-are two nonnegative integers, a, b, c, and d are positive constants, and {Pl,j}, i,j ~ No is a double real sequence. Sufficient conditions for this equati

Stability criteria for parabolic type pa
โœ Sheng-Li Xie; Sui Sun Cheng ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 337 KB

This paper is concerned with the stability of neutral parabolic type partial difference equations with delays over cylindrical domains (see (1.1), (1.4) and (3.1)). Stability criteria involving the spatial Euclidean norms of the solutions are derived by means of basic analytic techniques. These crit

Asymptotic Stability Condition for a Cla
โœ Ryuzou Ogita; Hideaki Matsunaga; Tadayuki Hara ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 102 KB

In this paper we obtain a necessary and sufficient condition for the asymptotic stability of the zero solution of the linear delay difference equation N x y x q p x s 0, n s 0, 1, 2, . . . , ร nq 1 n n ykqลฝ jy1.l js1 by using root-analysis for the characteristic equation. Here, p is a real number an