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<p>In this paper, we introduce and study a new class of evolutionary differential hemivariational inequalities in Banach spaces. Using a fixed-point theorem, we first establish the existence and uniqueness of mild solutions for the evolutionary differential hemivariational inequality. Building on this result, we then investigate the stability of the evolutionary differential hemivariational inequality problem under perturbations of the mappings, constraint set, and infinitesimal generator of the <i>C</i><sub>0</sub>-semigroup e<sup><i>tB</i></sup>.</p>

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Existence and stability analysis of evolutionary differential hemivariational inequalities in Banach spaces

  • 期刊论文

  • 发表日期：

    2025年10月28日

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  • Wei Li,
  • Ke Xu,
  • Rong Hu,
  • Zhiyang Ma

摘要

In this paper, we introduce and study a new class of evolutionary differential hemivariational inequalities in Banach spaces. Using a fixed-point theorem, we first establish the existence and uniqueness of mild solutions for the evolutionary differential hemivariational inequality. Building on this result, we then investigate the stability of the evolutionary differential hemivariational inequality problem under perturbations of the mappings, constraint set, and infinitesimal generator of the C0-semigroup etB.