ON SQUARE-MEAN S-ASYMPTOTICALLY BLOCH TYPE PERIODICITY OF SOME STOCHASTIC EVOLUTION EQUATIONS.

Autor: DIOP, AMADOU, MBAYE, MAMADOU MOUSTAPHA, YONG-KUI CHANG, N'GUÉRÉKATA, GASTON
Zdroj: Annals of Oradea University - Mathematics Fascicola; 2023, Vol. 30 Issue 2, p83-112, 30p
Abstrakt: This paper introduces the concept of square-mean pseudo S-asymptotically Bloch type periodic for stochastic processes and establishes some composition and convolution theorems for such stochastic processes. In addition, it presents the notion and properties of square-mean weighted pseudo S-asymptotically Bloch-type periodic functions similarly. Finally, we investigate the existence and uniqueness of square-mean pseudo S-asymptotically ω-periodic mild solutions of some stochastic integrodifferential equations driven by fractional Brownian motion. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index