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- Title
CONSTRUCTION OF ALMOST PERIODIC FUNCTIONS WITH GIVEN PROPERTIES.
- Authors
VESELÝ, MICHAL
- Abstract
We define almost periodic functions with values in a pseudometric space ℵ. We mention the Bohr and the Bochner definition of almost periodicity. We present one modifiable method for constructing almost periodic functions in ℵ. 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.
- Subjects
GENERALIZED spaces; LINEAR differential equations; PERIODIC functions; MATHEMATICAL functions; NUMERICAL solutions to differential equations
- Publication
Electronic Journal of Differential Equations, 2011, Vol 2011, p1
- ISSN
1550-6150
- Publication type
Article