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Approximate Controllability of Nonlocal Impulsive Stochastic Differential Equations with Delay

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Advances in Mathematical Methods and High Performance Computing

Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 41))

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Abstract

This paper concerns with the approximate controllability of nonlocal impulsive stochastic differential equations with delay in Hilbert space setting. Using stochastic analysis and fixed point approach, a new set of sufficient conditions is formulated that guarantees the approximate controllability of the considered stochastic system. To show the effectiveness of the developed theory, an example is constructed.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Delhi, Delhi, 110 007, India

    Surendra Kumar

Authors
  1. Surendra Kumar
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Correspondence to Surendra Kumar .

Editor information

Editors and Affiliations

  1. Department of Applied Science and Humanities, Inderprastha Engineering College, Ghaziabad, Uttar Pradesh, India

    Vinai K. Singh

  2. School of Science and Technology, Federation University Australia, Mt. Helen, VIC, Australia

    David Gao

  3. Institute of Numerical Mathematics, Technische Universität Dresden, Dresden, Germany

    Andreas Fischer

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Kumar, S. (2019). Approximate Controllability of Nonlocal Impulsive Stochastic Differential Equations with Delay. In: Singh, V., Gao, D., Fischer, A. (eds) Advances in Mathematical Methods and High Performance Computing. Advances in Mechanics and Mathematics, vol 41. Springer, Cham. https://doi.org/10.1007/978-3-030-02487-1_8

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