Stability of stochastic partial differential equations with infinite delays
โ Scribed by Jiaowan Luo
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 422 KB
- Volume
- 222
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
In this paper, we study the existence and the asymptotical stability in p-th moment of mild solutions to stochastic partial differential equations with infinite delays
where tฯ (t), tฮด(t) โ โ with delays ฯ (t), ฮด(t) โ โ as t โ โ. Our method for investigating the stability of solutions is based on the fixed point theorem.
๐ SIMILAR VOLUMES
This study intends to investigate a class of quasi-linear partial neutral functional differential equations with infinite delay. We assume that the linear part generates an analytic compact semigroup and the nonlinear part satisfies certain conditions. A sufficient condition is given to ensure the e