Fixed points and exponential stability for stochastic Volterra–Levin equations
✍ Scribed by Jiaowan Luo
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 270 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
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].
📜 SIMILAR VOLUMES
Positive results are derived concerning the long time dynamics of numerical simulations of stochastic differential equation systems with Markovian switching. Euler-Maruyama discretizations are shown to capture almost sure and moment exponential stability for all sufficiently small timesteps under ap