Startseite Existence results for some stochastic functional integrodifferential systems driven by Rosenblatt process
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Existence results for some stochastic functional integrodifferential systems driven by Rosenblatt process

  • Amadou Diop , Mamadou Abdoul Diop EMAIL logo , Khalil Ezzinbi und Essozimna Kpizim
Veröffentlicht/Copyright: 15. November 2023
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Abstract

This work investigates the existence and uniqueness of mild solutions to a class of stochastic integral differential equations with various time delay driven by the Rosenblatt process. We can obtain alternative conditions that guarantee mild solutions by using the resolvent operator in the Grimmer sense, stochastic analysis, fixed-point methods, and noncompact measures. We give an example to illustrate the theory.


Communicated by Stanislav Molchanov


Acknowledgements

The authors would like to thank the referees and the editor very much for their valuable suggestions to this paper.

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Received: 2022-07-03
Accepted: 2023-04-21
Published Online: 2023-11-15
Published in Print: 2023-12-01

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