Systems of nonlinear algebraic equations with positive solutions

We are concerned with the positive solutions of an algebraic system depending on a parameter [Formula: see text] and arising in economics. For [Formula: see text] we prove that the system has at least a solution. For [Formula: see text] we give three proofs of the existence and a proof of the unique...

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Detalles Bibliográficos
Autores principales: Ciurte, Anca, Nedevschi, Sergiu, Rasa, Ioan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5539268/
https://www.ncbi.nlm.nih.gov/pubmed/28824264
http://dx.doi.org/10.1186/s13660-017-1454-4
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author Ciurte, Anca
Nedevschi, Sergiu
Rasa, Ioan
author_facet Ciurte, Anca
Nedevschi, Sergiu
Rasa, Ioan
author_sort Ciurte, Anca
collection PubMed
description We are concerned with the positive solutions of an algebraic system depending on a parameter [Formula: see text] and arising in economics. For [Formula: see text] we prove that the system has at least a solution. For [Formula: see text] we give three proofs of the existence and a proof of the uniqueness of the solution. Brouwer’s theorem and inequalities involving convex functions are essential tools in our proofs.
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spelling pubmed-55392682017-08-17 Systems of nonlinear algebraic equations with positive solutions Ciurte, Anca Nedevschi, Sergiu Rasa, Ioan J Inequal Appl Research We are concerned with the positive solutions of an algebraic system depending on a parameter [Formula: see text] and arising in economics. For [Formula: see text] we prove that the system has at least a solution. For [Formula: see text] we give three proofs of the existence and a proof of the uniqueness of the solution. Brouwer’s theorem and inequalities involving convex functions are essential tools in our proofs. Springer International Publishing 2017-08-01 2017 /pmc/articles/PMC5539268/ /pubmed/28824264 http://dx.doi.org/10.1186/s13660-017-1454-4 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Ciurte, Anca
Nedevschi, Sergiu
Rasa, Ioan
Systems of nonlinear algebraic equations with positive solutions
title Systems of nonlinear algebraic equations with positive solutions
title_full Systems of nonlinear algebraic equations with positive solutions
title_fullStr Systems of nonlinear algebraic equations with positive solutions
title_full_unstemmed Systems of nonlinear algebraic equations with positive solutions
title_short Systems of nonlinear algebraic equations with positive solutions
title_sort systems of nonlinear algebraic equations with positive solutions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5539268/
https://www.ncbi.nlm.nih.gov/pubmed/28824264
http://dx.doi.org/10.1186/s13660-017-1454-4
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