Construction of almost periodic functions with given properties

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Authors	VESELÝ Michal
Year of publication	2011
Type	Article in Periodical
Magazine / Source	Electronic Journal of Differential Equations
MU Faculty or unit	Faculty of Science
Citation
Web	http://ejde.math.txstate.edu/
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.
Related projects:	Oscillation and spectral theory of differential and difference systems Matematické struktury