Positive periodic solutions of functional discrete systems with a parameter

Abstract The existence of multiple positive periodic solutions of the system of difference equations with a parameter x(n + 1) = A(n, x(n))x(n) + λf(n, xn), is studied. In particular, we use the eigenvalue problems of completely continuous operators to obtain our results. We apply our resul...

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Autores principales: Raffoul,Youssef N., Yankson,Ernest
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2019
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000100079
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spelling oai:scielo:S0719-064620190001000792019-08-09Positive periodic solutions of functional discrete systems with a parameterRaffoul,Youssef N.Yankson,Ernest Functional difference system Positive periodic solution Eigenvalue Population model Abstract The existence of multiple positive periodic solutions of the system of difference equations with a parameter x(n + 1) = A(n, x(n))x(n) + λf(n, xn), is studied. In particular, we use the eigenvalue problems of completely continuous operators to obtain our results. We apply our results to a well-known model in population dynamics.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.21 n.1 20192019-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000100079en10.4067/S0719-06462019000100079
institution Scielo Chile
collection Scielo Chile
language English
topic Functional difference system
Positive periodic solution
Eigenvalue
Population model
spellingShingle Functional difference system
Positive periodic solution
Eigenvalue
Population model
Raffoul,Youssef N.
Yankson,Ernest
Positive periodic solutions of functional discrete systems with a parameter
description Abstract The existence of multiple positive periodic solutions of the system of difference equations with a parameter x(n + 1) = A(n, x(n))x(n) + λf(n, xn), is studied. In particular, we use the eigenvalue problems of completely continuous operators to obtain our results. We apply our results to a well-known model in population dynamics.
author Raffoul,Youssef N.
Yankson,Ernest
author_facet Raffoul,Youssef N.
Yankson,Ernest
author_sort Raffoul,Youssef N.
title Positive periodic solutions of functional discrete systems with a parameter
title_short Positive periodic solutions of functional discrete systems with a parameter
title_full Positive periodic solutions of functional discrete systems with a parameter
title_fullStr Positive periodic solutions of functional discrete systems with a parameter
title_full_unstemmed Positive periodic solutions of functional discrete systems with a parameter
title_sort positive periodic solutions of functional discrete systems with a parameter
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2019
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000100079
work_keys_str_mv AT raffoulyoussefn positiveperiodicsolutionsoffunctionaldiscretesystemswithaparameter
AT yanksonernest positiveperiodicsolutionsoffunctionaldiscretesystemswithaparameter
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