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LIPSCHITZ PERTURBATION TO EVOLUTION INCLUSION DRIVEN BY TIME-DEPENDENT MAXIMAL MONOTONE OPERATORS.
- Source :
- Topological Methods in Nonlinear Analysis; 2021, Vol. 58 Issue 2, p677-712, 36p
- Publication Year :
- 2021
-
Abstract
- An evolution inclusion driven by a time-dependent maximal monotone operator and a Lipschitz closed valued perturbation, in a separable Hilbert space is considered. The inclusion with a convexified perturbation term is also studied. Then, the existence of solutions and the relaxation property between these evolution inclusions are proved. Applications to dynamical systems governed by a couple of a fractional equation and an evolution inclusion involving time-dependent maximal monotone operators with a Lipschitz perturbation are presented. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 12303429
- Volume :
- 58
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Topological Methods in Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 164422370
- Full Text :
- https://doi.org/10.12775/TMNA.2021.012