具有记忆项的二阶时滞微分变分-半变分不等式的存在性与收敛性分析

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-21 DOI:10.1016/j.nonrwa.2025.104373

Jianwei Hao , Jiangfeng Han , Quansheng Liu

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引用次数: 0

摘要

本文研究了广义二阶延迟微分变分半分不等式（SDVHI），该不等式是由一个带记忆项的变分半分不等式和一个二阶延迟微分方程组成的耦合系统。首先，我们建立了系统的适定性，证明了解的存在唯一性。随后，我们分析了SDVHI解的收敛性。通过一个带障碍物的抛物-椭圆系统展示了理论见解的实际适用性和相关性，突出了该研究对该领域的贡献。

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Existence and convergence analysis of second-order delay differential variational–hemivariational inequalities with memory terms

This study conducts an investigation into a generalized second-order delay differentialvariational–hemivariational inequality (SDVHI), formulated as a coupled system comprising a variational–hemivariational inequality with memory terms and a second-order delay differential equation. Initially, we establish the well-posedness of the system, proving the existence and uniqueness of solutions. Subsequently, we analyze the convergence properties of the SDVHI solutions. The practical applicability and relevance of the theoretical insights are demonstrated through a parabolic–elliptic system with an obstacle, highlighting the study’s contributions to the field.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.