Ravikumar, Kasinathan and Anguraj, Annamalai (2021) APPROXIMATE CONTROLLABILITY OF A NON-AUTONOMOUS EVOLUTION EQUATION IN BANACH SPACES. NUMERICAL ALGEBRA, CONTROL AND OPTIMIZATION, 11 (3). pp. 461-485.
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Abstract
In this paper, we consider a class of non-autonomous nonlinear evolution equations in separable reflexive Banach spaces. First, we consider a linear problem and establish the approximate controllability results by finding a
feedback control with the help of an optimal control problem. We then establish the approximate controllability results for a semilinear differential equation in Banach spaces using the theory of linear evolution systems, properties of resolvent operator and Schauder’s fixed point theorem. Finally, we provide a example of a non-autonomous, nonlinear diffusion equation in Banach spaces
to validate the results we obtained.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | words and phrases. Non-autonomous evolution equations, Approximate controllability, Schauder’s fixed point theorem, Resolvent operators |
| Divisions: | PSG College of Arts and Science > Department of Mathematics |
| Depositing User: | Mr Team Mosys |
| Date Deposited: | 06 Jun 2022 05:37 |
| Last Modified: | 06 Jun 2022 05:37 |
| URI: | http://ir.psgcas.ac.in/id/eprint/1213 |
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