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Volume 36, Issue 2
Quasi Contraction of Stochastic Functional Differential Equations

Jiaxin Zhao, Zhi Li & Liping Xu

DOI: 10.4208/jpde.v36.n2.6

J. Part. Diff. Eq., 36 (2023), pp. 220-234.

Published online: 2023-06

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  • 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.

  • Keywords

Quasi contraction, contraction, stochastic functional differential equations.

  • AMS Subject Headings

60H15, 60G15, 60H05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-36-220, author = {Zhao , JiaxinLi , Zhi and Xu , Liping}, title = {Quasi Contraction of Stochastic Functional Differential Equations}, journal = {Journal of Partial Differential Equations}, year = {2023}, volume = {36}, number = {2}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v36.n2.6}, url = {http://global-sci.org/intro/article_detail/jpde/21830.html} }
TY - JOUR T1 - Quasi Contraction of Stochastic Functional Differential Equations AU - Zhao , Jiaxin AU - Li , Zhi AU - Xu , Liping JO - Journal of Partial Differential Equations VL - 2 SP - 220 EP - 234 PY - 2023 DA - 2023/06 SN - 36 DO - http://doi.org/10.4208/jpde.v36.n2.6 UR - https://global-sci.org/intro/article_detail/jpde/21830.html KW - Quasi contraction, contraction, stochastic functional differential equations. AB -

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.

Zhao , JiaxinLi , Zhi and Xu , Liping. (2023). Quasi Contraction of Stochastic Functional Differential Equations. Journal of Partial Differential Equations. 36 (2). 220-234. doi:10.4208/jpde.v36.n2.6
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