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Research Article | Open Access

On a parabolic partial differential equation and system modeling a production planning problem

Department of Applied Mathematics, The Bucharest University of Economic Studies, Piata Romana, 1st district, postal code: 010374, postal office: 22, Romania
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Abstract

We consider a parabolic partial differential equation and system derived from a production planning problem dependent on time. Our goal is to find a closed-form solution for the problem considered in our model. Our new theoretical results can be applied in the real world.

Keywords

numerical approximationasymptotic behaviorclosed solutionparabolic equationparabolic system

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Electronic Research Archive
Volume 30 Issue 4,
April 2022
Pages 1340-1353
DOI: 10.3934/era.2022070

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Cite this article:
Covei D-P. On a parabolic partial differential equation and system modeling a production planning problem. Electronic Research Archive, 2022, 30(4): 1340-1353. https://doi.org/10.3934/era.2022070

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Received: 15 October 2021
Revised: 13 January 2022
Accepted: 08 March 2022
Published: 15 April 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)