Publication details

Construction of almost periodic functions with given properties



Year of publication 2011
Type Article in Periodical
Magazine / Source Electronic Journal of Differential Equations
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords Almost periodic functions; almost periodic solutions; linear differential equations; skew-Hermitian systems
Description We define almost periodic functions with values in a pseudometric space X. We mention the Bohr and the Bochner definition of almost periodicity. We present one modifiable method for constructing almost periodic functions in X. Applying this method, we prove that in any neighbourhood of an almost periodic skew-Hermitian linear differential system there exists a system which does not possess a nontrivial almost periodic solution.
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