Quasi Contraction of Stochastic Functional Differential Equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2023Publisher:Global Science PressJournal:Journal of Partial Differential Equations, volume 36, pages 220-234 (issn: 1000-940X, eissn: 2079-732X,

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Authors: Zhao, Jiaxin; Li, Zhi; Xu, Liping;

doi: 10.4208/jpde.v36.n2.6

Quasi Contraction of Stochastic Functional Differential Equations

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Abstract

Summary: Using a novel approach, we present explicit criteria for the quasi contraction of stochastic functional differential equations. As an application, some sufficient conditions ensuring the contraction property of the solution to the considered equations are obtained. Finally, some examples are investigated to illustrate the theory.

Keywords

Stochastic partial differential equations (aspects of stochastic analysis), Stochastic integrals, Gaussian processes, contraction, quasi contraction, stochastic functional differential equations

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