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
✦ LIBER ✦
Stability and asymptotic properties of a linear fractional difference equation
✍ Scribed by Jan Čermák, Tomáš Kisela, Luděk Nechvátal
- Book ID
- 119906659
- Publisher
- Springer International Publishing AG
- Year
- 2012
- Tongue
- English
- Weight
- 242 KB
- Volume
- 2012
- Category
- Article
- ISSN
- 1687-1839
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Abstract In this paper we investigate the stability of the equilibrium solution of the νth order linear system of difference equations $(\Delta \_{a + \nu - 1}^\nu y)(t) = \Lambda y(t + \nu - 1);t \in \mathbb{N}\_a ,a \in \mathbb{R},and\Lambda \in \mathbb{R}^{p \times p} ,$ subject to the initial co
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