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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Universidad de La Frontera. Departamento de Matemática y Estadística.
2019
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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 |
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Scielo Chile |
language |
English |
topic |
Functional difference system Positive periodic solution Eigenvalue Population model |
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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 |
_version_ |
1714206802533416960 |