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Existence and Uniqueness of Strong Solutions for Stochastic Age-Dependent Population

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Algorithmic Applications in Management (AAIM 2005)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 3521))

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Abstract

In this paper, we introduce a class of stochastic age-dependent population dynamic system. Applying the theory of stochastic functional differential equation, using Gronwall’s lemma and Barkholder-Davis-Gundy’s lemma, Existence and uniqueness of strong solution are proved for a class of stochastic age-dependent population dynamic system on Hilbert space. In particular, as a direct consequence our main results extend some of those from ordinary age-dependent population dynamic system.

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Author information

Authors and Affiliations

  1. School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi, 710049, P. R. China

    Qimin Zhang & Congzhao Han

  2. School of Mathematics and Computer Science, Ningxia University, Yinchuan Ningxia, 750021, P. R. China

    Qimin Zhang

Authors
  1. Qimin Zhang
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  2. Congzhao Han
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Editor information

Editors and Affiliations

  1. IBM Almaden Research Center, 650 Harry Road, 95120, San Jose, CA,  

    Nimrod Megiddo

  2. The State Key Lab for Manufacturing Systems Engineering, 710049, Xi’an, P.R. China

    Yinfeng Xu

  3. Department of Computer Science, Montana State University, 59717, Bozeman, MT, USA

    Binhai Zhu

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© 2005 Springer-Verlag Berlin Heidelberg

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Zhang, Q., Han, C. (2005). Existence and Uniqueness of Strong Solutions for Stochastic Age-Dependent Population. In: Megiddo, N., Xu, Y., Zhu, B. (eds) Algorithmic Applications in Management. AAIM 2005. Lecture Notes in Computer Science, vol 3521. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11496199_18

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  • DOI: https://doi.org/10.1007/11496199_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26224-4

  • Online ISBN: 978-3-540-32440-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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