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

Author

Listed:
  • Amadou Diop

    (Gaston Berger University)

  • Mamadou Moustapha Mbaye

    (Université Cheikh Anta Diop)

  • Yong-Kui Chang

    (Xidian University)

  • Gaston Mandata N’Guérékata

    (Morgan State University)

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

Suggested Citation

  • Amadou Diop & Mamadou Moustapha Mbaye & Yong-Kui Chang & Gaston Mandata N’Guérékata, 2024. "Measure Pseudo-S-asymptotically Bloch-Type Periodicity of Some Semilinear Stochastic Integrodifferential Equations," Journal of Theoretical Probability, Springer, vol. 37(3), pages 2253-2276, September.
    • Handle: RePEc:spr:jotpro:v:37:y:2024:i:3:d:10.1007_s10959-024-01335-3
    DOI: 10.1007/s10959-024-01335-3
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    References listed on IDEAS

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    1. Wei-Shih Du & Marko Kostić & Manuel Pinto & Antonio Masiello, 2021. "Almost Periodic Functions and Their Applications: A Survey of Results and Perspectives," Journal of Mathematics, Hindawi, vol. 2021, pages 1-21, April.
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