Approximate controllability of a non-autonomous differential equation |
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Authors: | Indira Mishra Madhukant Sharma |
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Affiliation: | 1.Department of Mathematics,Indian Institute of Science Education and Research Bhopal,Bhopal,India;2.School of Natural Sciences,Mahindra Ecolé Centrale,Hyderabad,India |
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Abstract: | In this paper, we establish the approximate controllability results for a non-autonomous functional differential equation using the theory of linear evolution system, Schauder fixed point theorem, and by making use of resolvent operators. The results obtained in this paper, improve the existing ones in this direction, to a considerable extent. An example is also given to illustrate the abstract results. |
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