Positive periodic solutions of functional discrete systems with a parameter
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Youssef N. Raffoul
yraffoul1@udayton.edu
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Ernest Yankson
ernestoyank@gmail.com
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DOI:
https://doi.org/10.4067/S0719-06462019000100079Abstract
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.
Keywords
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