We consider the boundedness for the discrete system of Volterra types. We establish several criteria on boundedness in terms of two measures for this system employing Razumikhin techniques. AMS (MOS) 1991 Mathematical classifications: 34Cl1, 34D20
β¦ LIBER β¦
Stability criteria in terms of two measures for discrete systems
β Scribed by X. Liu; X. Fu
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 485 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper studies stability problems for two kinds of discrete systems in terms of two different measures. The basic idea of this approach is to discuss the qualitative behaviour of a map h along solutions of discrete systems whose initial value are measured by a second map ho. By doing this, one may deal with, in a unified way, several concepts and associated problems, which are usually considered separately. Stability criteria in terrm of two meaenres are established employing the method of Lyapunov functions and Rasumikhin techniques. (~) 1998 Elsevier Science Ltd. All rights reserved.
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