Function bounds for solutions of Volterra equations and exponential asymptotic stability
β Scribed by Leigh C. Becker
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 292 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this paper we study a stochastic Volterra-Levin equation. By using fixed point theory, we give some conditions for ensuring that this equation is exponentially stable in mean square and is also almost surely exponentially stable. Our result generalizes and improves on the results in [14,1,30].
This paper is concerned with the stability and asymptotic stability of ΞΈ -methods for the initial value problems of nonlinear stiff Volterra functional differential equations in Banach spaces. A series of new stability and asymptotic stability results of ΞΈ-methods are obtained.