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- Title
Existence results for some stochastic functional integrodifferential systems driven by Rosenblatt process.
- Authors
Diop, Amadou; Diop, Mamadou Abdoul; Ezzinbi, Khalil; Kpizim, Essozimna
- 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.
- Subjects
RESOLVENTS (Mathematics); STOCHASTIC analysis; INTEGRO-differential equations; FUNCTIONAL equations
- Publication
Random Operators & Stochastic Equations, 2023, Vol 31, Issue 4, p371
- ISSN
0926-6364
- Publication type
Article
- DOI
10.1515/rose-2023-2020