Long-time behavior of delay differential quasi-variational–hemivariational inequalities and application to contact problems

In this article, we study a class of differential quasi-variational–hemivariational inequalities involving time delays. We establish new systems and prove the solvability and the existence of decay solutions. Moreover, we are concerned with long-time behavior of solutions by showing the existence of...

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Bibliographic Details
Published inZeitschrift für angewandte Mathematik und Physik Vol. 75; no. 2
Main Authors Van Anh, Nguyen Thi, Van Thuy, Tran
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.04.2024
Springer Nature B.V
Subjects
Dynamical systems
Engineering
Inequalities
Mathematical Methods in Physics
Theoretical and Applied Mechanics
35J87
Differential inclusions
Measure of noncompactness
34G20
Hemivariational inequalities
Fixed point theorems
37B35
Attractors
Semiflows
37J55
Quasi-variational inequalities
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Summary:In this article, we study a class of differential quasi-variational–hemivariational inequalities involving time delays. We establish new systems and prove the solvability and the existence of decay solutions. Moreover, we are concerned with long-time behavior of solutions by showing the existence of a compact global attractor to m -semiflow associated with delay differential quasi-variational–hemivariational inequalities. An application to the contact problems driven by dynamic systems is discussed to demonstrate our theoretical results.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-024-02202-1