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Existence of asymptotically periodic solutions of partial functional differential equations with state-dependent delay.
- Source :
-
Applicable Analysis . Nov2021, Vol. 100 Issue 14, p2965-2988. 24p. - Publication Year :
- 2021
-
Abstract
- In this paper, we are concerned with systems determined by partial differential equations with infinite and state-dependent delay. To study the system, we model the equation as an abstract retarded functional differential equations with infinite and state-dependent delay. We establish the existence of mild solutions, and the existence of S-asymptotically periodic solutions and asymptotically periodic solutions using local Lipschitz conditions on the involved functions. We apply our results to study the existence of asymptotically periodic solutions of a partial differential equation with infinite and state-dependent delay. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 100
- Issue :
- 14
- Database :
- Academic Search Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 152374419
- Full Text :
- https://doi.org/10.1080/00036811.2019.1704737