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On Ulam type of stability for stochastic integral equations with Volterra noise

Bishop, S.A. and Iyase, S.A . (2023) On Ulam type of stability for stochastic integral equations with Volterra noise. From the journal Random Operators and Stochastic Equations, 31 (4). pp. 399-408.

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Abstract

This paper concerns the existence, uniqueness and stability of solutions of stochastic Volterra integral equations perturbed by some random processes. The obtained results extend, generalize and enrich the theory of stochastic Volterra integral equations in literature. Lastly, for illustration, we give an example that agrees with the theoretical analysis.

Item Type: Article
Uncontrolled Keywords: Stochastic Volterra process; U-H-R stability; stochastic perturbed term; evolution solutions; contraction mapping theorem MSC 2020: 34A12; 37L05; 45D05; 47H10; 60H20
Subjects: G Geography. Anthropology. Recreation > GA Mathematical geography. Cartography
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: ORIGHOEYEGHA
Date Deposited: 02 Aug 2024 09:33
Last Modified: 02 Aug 2024 09:33
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/18348

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