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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Bibliographic Details
Main Authors: Raffoul,Youssef N., Yankson,Ernest
Language:English
Published: Universidad de La Frontera. Departamento de Matemática y Estadística. 2019
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Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000100079
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Summary: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.