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Second order evolutionary partial differential variational-like inequalities
- Source :
- AIMS Mathematics, Vol 7, Iss 9, Pp 16832-16850 (2022)
- Publication Year :
- 2022
- Publisher :
- AIMS Press, 2022.
-
Abstract
- This work is dedicated to the study of a second order evolutionary partial differential variational-like inequality in Banach space. We obtain the mild solution of our problem by applying the concept of strongly continuous cosine family of bounded linear operators, fixed point theorem for condensing multi-valued operators and measure of non-compactness. It is proved that the solution set of mixed variational-like inequalities is non-empty, bounded, closed and convex.
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 7
- Issue :
- 9
- Database :
- Directory of Open Access Journals
- Journal :
- AIMS Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.0a13bd85b14f454093ab7b179c419664
- Document Type :
- article
- Full Text :
- https://doi.org/10.3934/math.2022924?viewType=HTML