A note on the existence of stochastic integro‐differential equations with memory |
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| Authors: | Diem Dang Huan Hongjun Gao |
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| Institution: | 1. Institute of Mathematics, School of Mathematical Science, Nanjing Normal University, Nanjing 210023, China;2. Faculty of Basic Sciences, Bacgiang Agriculture and Forestry University, Bacgiang 21000, Vietnam |
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| Abstract: | In this study, we investigate the existence of mild solutions for a class of impulsive neutral stochastic integro‐differential equations with infinite delays, using the Krasnoselskii–Schaefer type fixed point theorem combined with theories of resolvent operators. As an application, an example is provided to illustrate the obtained result. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | resolvent operator impulsive neutral stochastic integro‐differential equations infinite delay Krasnoselskii– Schaefer type fixed point theorem |
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