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On Approximate Controllability of Functional Impulsive Evolution Inclusions in a Hilbert Space

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  • Agata Grudzka

    (Nicolaus Copernicus University)

  • Krzysztof Rykaczewski

    (Nicolaus Copernicus University)

Abstract

In this paper, we study approximate controllability of semilinear impulsive functional differential systems with finite delay. Simple sufficient conditions for such controllability are given. An example is provided to illustrate the application of the obtained results.

Suggested Citation

  • Agata Grudzka & Krzysztof Rykaczewski, 2015. "On Approximate Controllability of Functional Impulsive Evolution Inclusions in a Hilbert Space," Journal of Optimization Theory and Applications, Springer, vol. 166(2), pages 414-439, August.
    • Handle: RePEc:spr:joptap:v:166:y:2015:i:2:d:10.1007_s10957-014-0671-y
    DOI: 10.1007/s10957-014-0671-y
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    References listed on IDEAS

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    1. K. Balachandran & J.P. Dauer, 2002. "Controllability of Nonlinear Systems in Banach Spaces: A Survey," Journal of Optimization Theory and Applications, Springer, vol. 115(1), pages 7-28, October.
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    Cited by:

    1. Sumit Arora & Manil T. Mohan & Jaydev Dabas, 2023. "Finite-Approximate Controllability of Impulsive Fractional Functional Evolution Equations of Order $$1," Journal of Optimization Theory and Applications, Springer, vol. 197(3), pages 855-890, June.
    2. Afreen, A. & Raheem, A. & Khatoon, A., 2022. "Controllability of a second-order non-autonomous stochastic semilinear system with several delays in control," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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