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2021 A Variational Approach to the Problem of Continuous Dependence of Solutions to Second Order Periodic System
Monika Bartkiewicz, Marek Majewski
Taiwanese J. Math. Advance Publication 1-20 (2021). DOI: 10.11650/tjm/201104

Abstract

In the paper a second order differential system with a periodic boundary data is considered. Using some variational methods sufficient conditions for the continuous dependence of trajectories on controls are proved. The obtained results are applied then to the optimal control problem governed by the above system and the cost functional of a Bolza-type. In the end of the paper, an example of periodic optimal control problem demonstrating the applicability of the results is presented.

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Monika Bartkiewicz. Marek Majewski. "A Variational Approach to the Problem of Continuous Dependence of Solutions to Second Order Periodic System." Taiwanese J. Math. Advance Publication 1 - 20, 2021. https://doi.org/10.11650/tjm/201104

Information

Published: 2021
First available in Project Euclid: 7 December 2020

Digital Object Identifier: 10.11650/tjm/201104

Subjects:
Primary: 34C25, 34H05, 49J15, 49J53

Rights: Copyright © 2021 The Mathematical Society of the Republic of China

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