Quasi Contraction of Stochastic Functional Differential Equations

Quasi Contraction of Stochastic Functional Differential Equations

Year:    2023

Author:    Jiaxin Zhao, Zhi Li, Liping Xu

Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 2 : pp. 220–234

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v36.n2.6

Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 2 : pp. 220–234

Published online:    2023-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Quasi contraction contraction stochastic functional differential equations.

Author Details

Jiaxin Zhao

Zhi Li

Liping Xu