| Exponential Stability for Stochastic Volterra-Levin Equations |
| Received:March 26, 2011 Revised:September 01, 2011 |
| Key Words:
exponential stability fixed point theorem stochastic Volterra-Levin equation $p$th moment.
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| Fund Project:Supported by NSFC of Tianyuan Youth Foundation (Grant No.11126125), K. C. Wong Magna Fund of Ningbo University and Ningbo Natural Science Foundation (Grant No.2012A610031). |
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| Abstract: |
| In this paper, we investigate the exponential stability in $p$th moment as well as the almost surely exponential stability of solutions of stochastic Volterra-Levin equations (SVLEs in short) by the use of fixed point theorem for $p\ge 2$. Our results extend and improve the corresponding results obtained in [3,\,12], and the result in [12] is a special case of our results. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2013.01.011 |
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