VESELÝ, Michal. Construction of almost periodic sequences with given properties. Electronic Journal of Differential Equations, San Marcos, TX 78666, USA: Texas State University - San Marcos, 2008, vol. 2008, No 126, p. 1-22. ISSN 1072-6691.
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Basic information
Original name Construction of almost periodic sequences with given properties
Name in Czech Konstrukce skoroperiodických posloupností daných vlastností
Authors VESELÝ, Michal (203 Czech Republic, guarantor).
Edition Electronic Journal of Differential Equations, San Marcos, TX 78666, USA, Texas State University - San Marcos, 2008, 1072-6691.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
RIV identification code RIV/00216224:14310/08:00029572
Organization unit Faculty of Science
UT WoS 000208975100006
Keywords (in Czech) skoroperiodické posloupnosti; pseudometrické prostory; konstrukce posloupností; lineární diferenční systémy
Keywords in English Almost periodic sequences; pseudometric spaces; constructions of sequences; linear difference systems
Tags Reviewed
Changed by Changed by: doc. RNDr. Michal Veselý, Ph.D., učo 78392. Changed: 6/11/2009 22:22.
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.
Abstract (in Czech)
Jsou zavedeny skoroperiodické posloupnosti s hodnotami v pseudometrickém prostoru: Bochnerova definice skoroperiodičnosti je upravena tak, aby zůstala ekvivalentní s Bohrovou definicí. Poté je prezentována jistá metoda konstrukcí skoroperiodických posloupností. Pomocí této metody lze najít skoroperiodické homogenní lineární diferenční systémy, které nemají netriviální skoroperiodická řešení.
GA201/07/0145, research and development projectName: Diferenční rovnice a dynamické rovnice na ,,time scales'' II
Investor: Czech Science Foundation, Standard Projects
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