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Existence of Almost Periodic Solutions to a Class of Non-autonomous Functional Integro-differential Stochastic Equations

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Information Computing and Applications (ICICA 2013)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 392))

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Abstract

In this paper, a class of non-autonomous functional integro-differential stochastic equations in a real separable Hilbert space is studied. When the operators A(t) satisfy Acquistapace-Terreni conditions, and with some suitable assumptions, the existence and uniqueness of a square-mean almost periodic mild solution to the equations are obtained.

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Author information

Authors and Affiliations

  1. School of Mathematic and Information Sciences, Yulin Normal University, Yulin, 537000, China

    Lijie Li

  2. School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai, 201900, China

    Yu Feng & Weiquan Pan

Authors
  1. Lijie Li
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  2. Yu Feng
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  3. Weiquan Pan
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Editor information

Editors and Affiliations

  1. Shanghai Jiao Tong University, 800 Dongchuan Road, Dianxinqunlou 1-401,, 200240, Shanghai, China

    Yuhang Yang

  2. School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue,, 639798, Singapore, Singapore

    Maode Ma

  3. College of Science, Hebei United University, 063009, Tangshan, Hebei, China

    Baoxiang Liu

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Li, L., Feng, Y., Pan, W. (2013). Existence of Almost Periodic Solutions to a Class of Non-autonomous Functional Integro-differential Stochastic Equations. In: Yang, Y., Ma, M., Liu, B. (eds) Information Computing and Applications. ICICA 2013. Communications in Computer and Information Science, vol 392. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53703-5_62

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  • DOI: https://doi.org/10.1007/978-3-642-53703-5_62

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53702-8

  • Online ISBN: 978-3-642-53703-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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