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<p>We establish an existence theorem for a&#xa0;prox-regular state-dependent integro-differential sweeping process perturbed by a&#xa0;mixed semicontinuous multimapping.The integro-differential form of the sweeping process arises from the presence of a&#xa0;Volterra-type perturbation term.</p>

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Mixed Semicontinuous Perturbation of a Prox-Regular State-Dependent Integro-Differential Sweeping Process

  • 期刊论文

  • 发表日期：

    2025年5月1日

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  • M. Balde,
  • M. Sene,
  • L. Thibault

摘要

We establish an existence theorem for a prox-regular state-dependent integro-differential sweeping process perturbed by a mixed semicontinuous multimapping.The integro-differential form of the sweeping process arises from the presence of a Volterra-type perturbation term.