Asymptotically almost periodic solutions of limit and almost periodic linear difference systems

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Year of publication 2015
Type Article in Periodical
Magazine / Source Electronic Journal of Qualitative Theory of Differential Equations
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords limit periodicity; almost periodicity; asymptotic almost periodicity; limit periodic sequences; almost periodic sequences; linear difference systems
Description In this paper, limit periodic and almost periodic homogeneous linear difference systems are considered. We study the systems in which the coefficient matrices are taken from a given bounded group and the elements of the matrices are from an infinite field with an absolute value. We show a condition on limit periodic and almost periodic systems which ensures, that the considered systems can be transformed into new systems having certain properties. The new systems possess non-asymptotically almost periodic solutions. The transformation can be done by arbitrarily small changes.
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