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Approximate Controllability for a Semilinear Evolution System with Infinite Delay

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Abstract

In this work, we study the approximate controllability for a class of control systems governed by semilinear equations with infinite delay in Hilbert spaces. Sufficient conditions for approximate controllability are established by constructing fundamental solution and using resolvent condition and techniques on fractional power operators. As an illustration of the application of the obtained results, an example is also provided.

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Acknowledgments

We would like to thank the referees greatly for their carefully reviewing work.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, 200241, People’s Republic of China

    Fatima Zahra Mokkedem & Xianlong Fu

Authors
  1. Fatima Zahra Mokkedem
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  2. Xianlong Fu
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Corresponding author

Correspondence to Xianlong Fu.

Additional information

This work is supported by NSF of China (Nos. 11171110 and 11371087), Shanghai Leading Academic Discipline Project (No. B407).

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Mokkedem, F.Z., Fu, X. Approximate Controllability for a Semilinear Evolution System with Infinite Delay. J Dyn Control Syst 22, 71–89 (2016). https://doi.org/10.1007/s10883-014-9252-5

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  • DOI: https://doi.org/10.1007/s10883-014-9252-5

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