Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay
β Scribed by D. G. Korenevskii; K. Kaizer
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 867 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0041-5995
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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
In this paper sufficient conditions for the oscillation of all solutions of the delay difference equation x y x q p x s 0, n s 0, 1, 2, . . . , are established, where the coefficient p itself may be allowed to be oscillatory. We also give an n example to demonstrate the advantage of our results.