On Some Properties of Solutions of Systems of Linear Difference Equations with Periodic Right-Hand Sides

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Аннотация

We consider homogeneous and inhomogeneous systems of linear difference equations with coefficients that are 
-periodic functions of discrete time. For homogeneous systems, sufficient conditions for the existence of periodic and almost periodic solutions are obtained. For inhomogeneous systems, it is shown that a necessary and sufficient condition for the existence of an N-periodic solution is the existence of a bounded solution. Necessary and sufficient conditions for theN orthogonality of the fundamental matrix of the homogeneous system are established. Illustrative examples are given.

Авторлар туралы

A. Ignat'ev

Institute of Applied Mathematics and Mechanics, Donetsk, Russia

Хат алмасуға жауапты Автор.
Email: aoignat@mail.ru
Донецк

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