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Approximate controllability of a non-autonomous differential equation

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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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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Science Education and Research Bhopal, Indore Bypass Road, Bhauri, Bhopal, 462 066, India

    Indira Mishra

  2. School of Natural Sciences, Mahindra Ecolé Centrale, Hyderabad, India

    Madhukant Sharma

Authors
  1. Indira Mishra
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  2. Madhukant Sharma
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Correspondence to Madhukant Sharma.

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Communicating Editor: S Kesavan

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Mishra, I., Sharma, M. Approximate controllability of a non-autonomous differential equation. Proc Math Sci 128, 34 (2018). https://doi.org/10.1007/s12044-018-0391-6

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  • DOI: https://doi.org/10.1007/s12044-018-0391-6

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