Remarks on the controllability of nonlinear perturbations of Volterra integrodifferential systems (Q1893877)

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scientific article; zbMATH DE number 773019
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Remarks on the controllability of nonlinear perturbations of Volterra integrodifferential systems
scientific article; zbMATH DE number 773019

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    Remarks on the controllability of nonlinear perturbations of Volterra integrodifferential systems (English)
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    27 November 1995
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    Summary: Sufficient conditions for the complete controllability of nonlinear perturbations of Volterra integrodifferential systems with implicit derivative are established. The results generalize the results of \textit{J. P. Dauer} and \textit{K. Balachandran} [J. Math. Syst. Estim. Control 3, 321-326 (1993; Zbl 0781.93012)] and are obtained through the notions of condensing map and measure of noncompactness of a set.
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    fixed point technique
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    complete controllability
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    nonlinear
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    Volterra integrodifferential systems
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    implicit derivative
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