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

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Abstract

This paper gives a new property for stochastic processes, called square-mean \(\mu -\)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

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Funding

This work was partially supported by Natural Science Foundation of Shaanxi Province (2023-JC-YB-011).

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Authors and Affiliations

  1. Laboratory of Numerical Analysis and Computer Science, Applied Mathematics Section, Gaston Berger University, Saint-Louis, Senegal

    Amadou Diop

  2. Département de Mathématiques, Faculté des Sciences et Technique, Université Cheikh Anta Diop, Dakar-Fann, BP-5005, Senegal

    Mamadou Moustapha Mbaye

  3. School of Mathematics and Statistics, Xidian University, Xi’an, 710071, Shaanxi, People’s Republic of China

    Yong-Kui Chang

  4. NEERLab Department of Mathematics, Morgan State University, Baltimore, MD, 21251, USA

    Gaston Mandata N’Guérékata

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  1. Amadou Diop
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  2. Mamadou Moustapha Mbaye
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  3. Yong-Kui Chang
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  4. Gaston Mandata N’Guérékata
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Correspondence to Yong-Kui Chang.

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Diop, A., Mbaye, M.M., Chang, YK. et al. Measure Pseudo-S-asymptotically Bloch-Type Periodicity of Some Semilinear Stochastic Integrodifferential Equations. J Theor Probab (2024). https://doi.org/10.1007/s10959-024-01335-3

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  • DOI: https://doi.org/10.1007/s10959-024-01335-3

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