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Delay Perturbed Sweeping Process

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Abstract

This paper is devoted to the study of a nonconvex perturbed sweeping process with time delay in the infinite dimensional setting. On the one hand, the moving subset involved is assumed to be prox-regular and to move in an absolutely continuous way. On the other hand, the perturbation which contains the delay is single-valued, separately measurable, and separately Lipschitz. We prove, without any compactness assumption, that the problem has one and only one solution.

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  1. Centro de Modelamiento Matemático, Universidad de Chile, Casilla 170/3, Correo 3, Santiago, Chile

    Jean Fenel Edmond

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  1. Jean Fenel Edmond
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Correspondence to Jean Fenel Edmond.

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Edmond, J.F. Delay Perturbed Sweeping Process. Set-Valued Anal 14, 295–317 (2006). https://doi.org/10.1007/s11228-006-0021-9

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  • DOI: https://doi.org/10.1007/s11228-006-0021-9

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