Eventual periodicity of a max-type system of difference equations of higher order with four variables

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Periodicity in a System of Differential Equations with Finite Delay

The existence and uniqueness of a periodic solution of the system of differential equations d dt x(t) = A(t)x(t − ) are proved. In particular the Krasnoselskii’s fixed point theorem and the contraction mapping principle are used in the analysis. In addition, the notion of fundamental matrix solution coupled with Floquet theory is also employed.  

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Sharp algebraic periodicity conditions for linear higher order difference equations

In this paper we give easily verifiable, but sharp (in most cases necessary and sufficient) algebraic conditions for the solutions of systems of higher order linear difference equations to be periodic. The main tool in our investigation is a transformation, recently introduced by the authors, which formulates a given higher order recursion as a first order difference equation in the phase space...

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ژورنال

عنوان ژورنال: Miskolc Mathematical Notes

سال: 2022

ISSN: ['1586-8850', '1787-2405', '1787-2413']

DOI: https://doi.org/10.18514/mmn.2022.3699