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In this paper we study a class of mixed type semicontinuous multivalued perturbations of m-dissipative differential equations in Banach spaces with uniformly convex dual. We prove the existence of solutions when the perturbations satisfy the one-sided Perron condition, in both local and nonlocal cases.

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Forward Stability Conditions and Applications

  • 会议论文

  • 发表日期：

    2025年

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  • Jamil Abbas,
  • Tzanko Donchev,
  • Alina I. Lazu,
  • Iveta Nikolova

摘要

In this paper we study a class of mixed type semicontinuous multivalued perturbations of m-dissipative differential equations in Banach spaces with uniformly convex dual. We prove the existence of solutions when the perturbations satisfy the one-sided Perron condition, in both local and nonlocal cases.