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Existence, uniqueness and approximate controllability of abstract differential equations with state-dependent delay.

Authors :
Hernandez, Eduardo
Wu, Jianhong
Chadha, Alka
Source :
Journal of Differential Equations. Nov2020, Vol. 269 Issue 10, p8701-8735. 35p.
Publication Year :
2020

Abstract

We study the approximate controllability of a general class of first order abstract control differential problems with state-dependent delay. To this end, we establish and prove several new results on local and global existence and uniqueness of mild and strict solutions for abstract differential equations with state-dependent delay. In the last section, some examples are presented. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00220396
Volume :
269
Issue :
10
Database :
Academic Search Index
Journal :
Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
144318028
Full Text :
https://doi.org/10.1016/j.jde.2020.06.030