Approximate controllability of semilinear non-autonomous evolution systems with state-dependent delay (Q1680977)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Approximate controllability of semilinear non-autonomous evolution systems with state-dependent delay |
scientific article; zbMATH DE number 6808212
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximate controllability of semilinear non-autonomous evolution systems with state-dependent delay |
scientific article; zbMATH DE number 6808212 |
Statements
Approximate controllability of semilinear non-autonomous evolution systems with state-dependent delay (English)
0 references
17 November 2017
0 references
The paper is devoted to the approximate controllability of semilinear non-autonomous evolution system with time-dependent delay. First, the existence of mild solution for considered system is studied by applying the Schauder fixed point theorem. Then, sufficient conditions for the approximate controllability are established by the use of the resolvent condition. While doing so, the author uses the theory of linear evolution operators. In the final part, two examples are presented to show the applications of the results.
0 references
approximate controllability
0 references
non-autonomous evolution equation
0 references
linear evolution system
0 references
state-dependent delay
0 references
fractional power operator
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
