Measure Pseudo-S-asymptotically Bloch-Type Periodicity of Some Semilinear Stochastic Integrodifferential Equations

Amadou Diop (), Mamadou Moustapha Mbaye (), Yong-Kui Chang () and Gaston Mandata N’Guérékata ()
Additional contact information
Amadou Diop: Gaston Berger University
Mamadou Moustapha Mbaye: Université Cheikh Anta Diop
Yong-Kui Chang: Xidian University
Gaston Mandata N’Guérékata: Morgan State University

Journal of Theoretical Probability, 2024, vol. 37, issue 3, 2253-2276

Abstract: Abstract This paper gives a new property for stochastic processes, called square-mean $$\mu -$$ μ - pseudo-S-asymptotically Bloch-type periodicity. We show how this property is preserved under some operations, such as composition and convolution, for stochastic processes. Our main results extend the classical results on S-asymptotically Bloch-type periodic functions. We also apply our results to some problems involving semilinear stochastic integrodifferential equations in abstract spaces

Keywords: Stochastic processes; Integrodifferential equations; Pseudo-S-asymptotically Bloch-type periodic processes; 30D45; 34C25; 60H15; 60G22 (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10959-024-01335-3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jotpro:v:37:y:2024:i:3:d:10.1007_s10959-024-01335-3

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10959

DOI: 10.1007/s10959-024-01335-3

Access Statistics for this article

Journal of Theoretical Probability is currently edited by Andrea Monica

More articles in Journal of Theoretical Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().