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<p>In this paper, we investigate the h-stability of a class of the time-changed differential equation with impulsive in Banach spaces. By establishing novel time-changed retarded Gronwall-like inequalities with jumps, we derive explicit sufficient conditions for the global uniform h-stability of the mild solution. We also analyze two illustrative examples to show the interest and usefulness of the main results.</p>

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h-stability for a Class of Time-changed Systems

  • 期刊论文

  • 发表日期：

    2026年5月23日

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  • Zhi Li,
  • Yufei Cai,
  • Yue Wang,
  • Liping Xu

摘要

In this paper, we investigate the h-stability of a class of the time-changed differential equation with impulsive in Banach spaces. By establishing novel time-changed retarded Gronwall-like inequalities with jumps, we derive explicit sufficient conditions for the global uniform h-stability of the mild solution. We also analyze two illustrative examples to show the interest and usefulness of the main results.