EXISTENCE AND STABILITY ANALYSIS OF EVOLUTIONARY DIFFERENTIAL HEMIVARIATIONAL INEQUALITIES IN BANACH SPACES

doi:10.1007/s10473-026-0203-5

摘要/Abstract

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 $C_0$-semigroup ${\rm e}^{tB}$.

关键词: evolutionary differential hemivariational inequality, mild solution, stability, $C_0$-semigroup

Abstract: 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 $C_0$-semigroup ${\rm e}^{tB}$.

Key words: evolutionary differential hemivariational inequality, mild solution, stability, $C_0$-semigroup

中图分类号:

49J40

Wei LI, Ke XU, Rong HU, Zhiyang MA. EXISTENCE AND STABILITY ANALYSIS OF EVOLUTIONARY DIFFERENTIAL HEMIVARIATIONAL INEQUALITIES IN BANACH SPACES[J]. 数学物理学报(英文版), 2026, 46(2): 549-567.

Wei LI, Ke XU, Rong HU, Zhiyang MA. EXISTENCE AND STABILITY ANALYSIS OF EVOLUTIONARY DIFFERENTIAL HEMIVARIATIONAL INEQUALITIES IN BANACH SPACES[J]. Acta mathematica scientia,Series B, 2026, 46(2): 549-567.

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