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Journal of Dynamical and Control Systems

Erschienen in:

20.09.2017

Controllability of the Second-Order Nonlinear Differential Equations with Non-instantaneous Impulses

verfasst von: Avadhesh Kumar, M. Muslim, R. Sakthivel

Erschienen in: Journal of Dynamical and Control Systems | Ausgabe 2/2018

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Abstract

The objective of this paper is to establish the sufficient condition for the controllability of a control problem represented by second-order nonlinear differential equation with non-instantaneous impulses in a Hilbert space X. The results are obtained using the strongly continuous cosine family of linear operators and Banach fixed point method. Also, we study the controllability of the nonlocal as well as integro-differential systems. Finally, a few examples are provided to illustrate the applications of the obtained abstract results.

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Titel: Controllability of the Second-Order Nonlinear Differential Equations with Non-instantaneous Impulses
verfasst von: Avadhesh Kumar
M. Muslim
R. Sakthivel
Publikationsdatum: 20.09.2017
Verlag: Springer US
Erschienen in: Journal of Dynamical and Control Systems / Ausgabe 2/2018
Print ISSN: 1079-2724
Elektronische ISSN: 1573-8698
DOI: https://doi.org/10.1007/s10883-017-9376-5

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