Construction of almost periodic sequences with given properties
Authors | |
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Year of publication | 2008 |
Type | Article in Periodical |
Magazine / Source | Electronic Journal of Differential Equations |
MU Faculty or unit | |
Citation | |
Field | General mathematics |
Keywords | Almost periodic sequences; pseudometric spaces; constructions of sequences; linear difference systems |
Description | Almost periodic sequences with values in a pseudometric space are introduced. The Bochner definition of the almost periodicity is modified so that it remains equivalent with the Bohr definition. Then, a method of constructions of almost periodic sequences is presented. Using this method, one can find almost periodic homogeneous linear difference systems what do not have any nontrivial almost periodic solutions. |
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