Approximate controllability of a non-autonomous differential equation
Proceedings - Mathematical Sciences(2018)
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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Key words
Approximate controllability, Schauder fixed point theorem, resolvent operators, 34K06, 34A12, 37L05, 93B05
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