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<p>This paper investigates a class of neutral differential inclusion problems involving set-valued perturbations that may take nonconvex values. Under suitable regularity assumptions, we prove that mild solutions exist. In addition, we investigate the system’s approximate controllability within the context of a separable Hilbert state space. To verify how the theoretical results can be applied in practice, we also examine explicit solution behaviors for the corresponding neutral differential equation.</p>

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Existence and approximate controllability of solutions for a class of neutral integrodifferential inclusions

  • 期刊论文

  • 发表日期：

    2026年7月4日

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  • Ruizhe Liang,
  • Jing Li,
  • Huidan Zeng,
  • Wanzheng Qiu

摘要

This paper investigates a class of neutral differential inclusion problems involving set-valued perturbations that may take nonconvex values. Under suitable regularity assumptions, we prove that mild solutions exist. In addition, we investigate the system’s approximate controllability within the context of a separable Hilbert state space. To verify how the theoretical results can be applied in practice, we also examine explicit solution behaviors for the corresponding neutral differential equation.