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We study the existence of solutions to m-dissipative evolution inclusions with nonlocal initial condition. We assume that the multivalued part is either almost USC with closed convex values or almost LSC with closed non necessarily convex values in reflexive Banach spaces. Compactness type conditions are used. Finally illustrative examples are provided.

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Mixed Semicontinuous Fully Nonlinear Evolution Inclusions

  • 会议论文

  • 发表日期：

    2025年

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  • Jamil Abbas,
  • Tzanko Donchev,
  • Evi Georgiadou

摘要

We study the existence of solutions to m-dissipative evolution inclusions with nonlocal initial condition. We assume that the multivalued part is either almost USC with closed convex values or almost LSC with closed non necessarily convex values in reflexive Banach spaces. Compactness type conditions are used. Finally illustrative examples are provided.