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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 8
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Articles

Second Noether’s theorem with time delay

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Pages 1358-1378 | Received 15 Dec 2015, Accepted 14 May 2016, Published online: 08 Jun 2016
 

Abstract

In this paper, we consider variational problems with delayed argument. Simple proofs of the first and second Noether theorems are given. Applying our results to some concrete problems we obtain conservation laws for systems with delay.

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Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported under the Bialystok University of Technology [grant number S/WI/1/2016](A. B. Malinowska), the Warsaw School of Economics [grant number KAE/S15/35/15] (T. Odzijewicz).

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