Asymptotically almost periodic solutions of limit and almost periodic linear difference systems
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | Electronic Journal of Qualitative Theory of Differential Equations |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4323 |
| Doi | http://dx.doi.org/10.14232/ejqtde.2015.1.75 |
| 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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