Density and Co-Density Results of Perturbed Evolutionary Hemivariational Inequality and Their Applications

We are mainly concerned with a perturbed hemivariational inequality involving time-dependent maximal monotone operators and history-dependent operators. First, we prove the existence results for the problem. Next, we establish the density and co-density results of the solution set. Finally, as an illustrative application, we study a frictional contact problem for viscoelastic materials.

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Publication Details

Journal
Siberian Mathematical Journal
Published
2025-03-01
DOI
https://doi.org/10.1134/s003744662502020x
Primary Topic
Contact Mechanics and Variational Inequalities
Type
article
Field-Weighted Citation Impact
0.00
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article

Density and Co-Density Results of Perturbed Evolutionary Hemivariational Inequality and Their Applications

Zhenhai Liu, J. Tariboon, Li Liang
Siberian Mathematical Journal
Contact Mechanics and Variational Inequalities
article

Density and Co-Density Results of Perturbed Evolutionary Hemivariational Inequality and Their Applications

Zhenhai Liu, J. Tariboon, Li Liang
article en

Abstract

We are mainly concerned with a perturbed hemivariational inequality involving time-dependent maximal monotone operators and history-dependent operators. First, we prove the existence results for the problem. Next, we establish the density and co-density results of the solution set. Finally, as an illustrative application, we study a frictional contact problem for viscoelastic materials.

Siberian Mathematical JournalVol. 66(2)
Guangxi University (CN), Guangxi University of Finance and Economics (CN), Yulin Normal University (CN), King Mongkut's University of Technology North Bangkok (TH)
Openalex Percentile: Top 94%
Contact Mechanics and Variational Inequalities
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