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- Title
On periodic solutions to a class of delay differential variational inequalities.
- Authors
Anh, Nguyen Thi Van
- Abstract
In this paper, we introduce and study a class of delay differential variational inequalities comprising delay differential equations and variational inequalities. We establish a sufficient condition for the existence of periodic solutions to delay differential variational inequalities. Based on some fixed point arguments, in both single-valued and multivalued cases, the solvability of initial value and periodic problems are proved. Furthermore, we study the conditional stability of periodic solutions to this systems.
- Subjects
DIFFERENTIAL inequalities; DELAY differential equations; INITIAL value problems; DIFFERENTIAL inclusions
- Publication
Evolution Equations & Control Theory, 2022, Vol 11, Issue 4, p1309
- ISSN
2163-2472
- Publication type
Article
- DOI
10.3934/eect.2021045