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Approximate controllability of semilinear partial functional differential systems

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Abstract

In this paper, we study the approximate controllability of semilinear neutral functional-differential systems and impulsive functional-differential systems with finite delay. Since the considered equations admit nonlinear terms involving spatial derivatives, the fraction power theory and α-norm is used to discuss the problem so that the established results can be applied to them. An example is provided to illustrate the application of the obtained results.

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Authors and Affiliations

  1. Department of Mathematics, East China Normal University, Shanghai, 200241, P. R. China

    Xianlong Fu & Kaidong Mei

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  1. Xianlong Fu
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  2. Kaidong Mei
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Correspondence to Xianlong Fu.

Additional information

This work is supported by NNSF of China (No. 10671069) and Shanghai Leading Academic Discipline Project (No. B407).

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Fu, X., Mei, K. Approximate controllability of semilinear partial functional differential systems. J Dyn Control Syst 15, 425–443 (2009). https://doi.org/10.1007/s10883-009-9068-x

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  • DOI: https://doi.org/10.1007/s10883-009-9068-x

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