On exponential stability of mild solutions for some stochastic partial integrodifferential equations

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• 作者：Moustapha Dieye^a ; ^b ; Mamadou Abdoul Diop^a ; ^b ; ^{ordydiop@gmail.com} ; Khalil Ezzinbi^c
• 关键词：Exponential stability ; Resolvent operator ; Stochastic convolution ; Mild solution ; Predictable process ; Integrodifferential equations delays
• 刊名：Statistics & Probability Letters
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：123
• 期：Complete
• 页码：61-76
• 全文大小：480 K
• 卷排序：123

文摘

In this work, we study the existence and exponentially stability in pp-mean square for some stochastic integrodifferential equation with delays. Also pathwise exponential stability is proved for p>2p>2. We assume that the linear part has a resolvent operator in the sense given by Grimmer (1982). The delayed part is assumed to be continuous. Our results are proved by using the stochastic convolution.