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Controllability of non-autonomous nonlinear differential system with non-instantaneous impulses

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In this paper, we applied the Rothe’s fixed point theorem to study the controllability of non-autonomous nonlinear differential system with non-instantaneous impulses in the space \(\mathbb {R}^{n}\). Also, we established the sufficient conditions for the controllability of the integro-differential equation as well as nonlocal problem. Finally, we have given an example to illustrate the application of these proposed results.

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Acknowledgements

We are thankful to the anonymous reviewers for their constructive comments and suggestions which help us to improve the manuscript.

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Authors and Affiliations

  1. School of Basic Sciences, Indian Institute of Technology Mandi, Kamand, HP, 175 005, India

    Muslim Malik, Rajesh Dhayal, Syed Abbas & Avadhesh Kumar

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  1. Muslim Malik
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  2. Rajesh Dhayal
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  3. Syed Abbas
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  4. Avadhesh Kumar
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Correspondence to Syed Abbas.

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Malik, M., Dhayal, R., Abbas, S. et al. Controllability of non-autonomous nonlinear differential system with non-instantaneous impulses. RACSAM 113, 103–118 (2019). https://doi.org/10.1007/s13398-017-0454-z

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  • DOI: https://doi.org/10.1007/s13398-017-0454-z

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