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

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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.

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Acknowledgments

The authors would like to express their gratitude to Professor Grzegorz Gabor for bringing paper [34] to their attention and valuable comments which improved the final version of this paper. Moreover, the thanks of the authors go to an anonymous referee for his/hers comments, which contributed to the improvement of the present paper. This work was supported in part by the Marshall of Kuyavian-Pomeranian Voivodeship in Poland with the funds from European Social Fund (EFS) (a part of integrated operational programme for regional development, activity 2.6) in the form of a grant for Ph.D. students (Step in the future programme, fifth edition).

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  1. Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100, Toruń, Poland

    Agata Grudzka & Krzysztof Rykaczewski

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  1. Agata Grudzka
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Correspondence to Krzysztof Rykaczewski.

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Communicated by Roberto Triggiani.

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Grudzka, A., Rykaczewski, K. On Approximate Controllability of Functional Impulsive Evolution Inclusions in a Hilbert Space. J Optim Theory Appl 166, 414–439 (2015). https://doi.org/10.1007/s10957-014-0671-y

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