Asymptotic behavior of stochastic functional differential evolution equation

Simple item page
dc.contributor.authorClark, Jason
dc.contributor.authorMisiats, Oleksandr
dc.contributor.authorMogylova, Viktoriia
dc.contributor.authorStanzhytskyi, Oleksandr
dc.date.accessioned2023-05-23T21:26:49Z
dc.date.available2023-05-23T21:26:49Z
dc.date.issued2023-04-12
dc.description.abstractIn this work we study the long time behavior of nonlinear stochastic functional-differential equations in Hilbert spaces. In particular, we start with establishing the existence and uniqueness of mild solutions. We proceed with deriving a priory uniform in time bounds for the solutions in the appropriate Hilbert spaces. These bounds enable us to establish the existence of invariant measure based on Krylov-Bogoliubov theorem on the tightness of the family of measures. Finally, under certain assumptions on nonlinearities, we establish the uniqueness of invariant measures.
dc.description.departmentMathematics
dc.formatText
dc.format.extent21 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationClark, J., Misiats, O., Mogylova, V., & Stanzhytskyi, O. (2023). Asymptotic behavior of stochastic functional differential evolution equation. <i>Electronic Journal of Differential Equations, 2023</i>(35), pp. 1-21.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16870
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectStochastic integral
dc.subjectMild solution
dc.subjectSemigroup
dc.subjectWhite noise
dc.subjectDelay differential equation
dc.subjectInvariant measure
dc.titleAsymptotic behavior of stochastic functional differential evolution equation
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
clark.pdf
Size:
365.93 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations