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Almost Periodic Solutions to a Stochastic Differential Equation in Hilbert Spaces

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Abstract

In this paper, we prove the existence and uniqueness of quadratic mean almost periodic mild solutions for a class of stochastic differential equations in a real separable Hilbert space. The main technique is based upon an appropriate composition theorem combined with the Banach contraction mapping principle and an analytic semigroup of linear operators.

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Authors and Affiliations

  1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, 730070, People’s Republic of China

    Yong-Kui Chang & Zhi-Han Zhao

  2. Department of Mathematics, Northwest Normal University, Lanzhou, 730070, People’s Republic of China

    Ruyun Ma

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  1. Yong-Kui Chang
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  2. Ruyun Ma
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  3. Zhi-Han Zhao
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Correspondence to Yong-Kui Chang.

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Chang, YK., Ma, R. & Zhao, ZH. Almost Periodic Solutions to a Stochastic Differential Equation in Hilbert Spaces. Results. Math. 63, 435–449 (2013). https://doi.org/10.1007/s00025-011-0207-9

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  • DOI: https://doi.org/10.1007/s00025-011-0207-9

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