We shall obtain sufficient conditions for the uniform stability and the global asymptotic stability of the linear difference equation with variable delay where {Pn} is a sequence of nonnegative real numbers, {kn} is a sequence of nonnegative integers, and there exists a nonnegative integer k such t
An asymptotic result and a stability criterion for linear nonautonomous delay difference equations
β Scribed by CH. G. Philos; I. K. Purnaras
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 120 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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, . . . , Γ nq 1 n n ykqΕ½ jy1.l js1 by using root-analysis for the characteristic equation. Here, p is a real number an
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.