Non-almost periodic solutions of limit periodic and almost periodic homogeneous linear difference systems

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Year of publication 2014
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; almost periodic sequences; almost periodic solutions; limit periodic sequences; linear difference systems
Description We study limit periodic and almost periodic homogeneous linear difference systems. The coefficient matrices of the considered systems are taken from a given commutative group. We mention a condition on the group which ensures that, by arbitrarily small changes, the considered systems can be transformed to new systems, which do not possess any almost periodic solution other than the trivial one. The elements of the coefficient matrices are taken from an infinite field with an absolute value.
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