VESELÝ, Michal. Construction of almost periodic functions with given properties. Electronic Journal of Differential Equations, San Marcos, TX 78666, USA: Texas State University - San Marcos, 2011, vol. 2011, No 29, p. 1-25. ISSN 1072-6691.
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Basic information
Original name Construction of almost periodic functions with given properties
Name in Czech Konstrukce skoroperiodických funkcí daných vlastností
Authors VESELÝ, Michal (203 Czech Republic, guarantor, belonging to the institution).
Edition Electronic Journal of Differential Equations, San Marcos, TX 78666, USA, Texas State University - San Marcos, 2011, 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
WWW URL
Impact factor Impact factor: 0.427
RIV identification code RIV/00216224:14310/11:00049724
Organization unit Faculty of Science
UT WoS 000299632300001
Keywords (in Czech) Skoroperiodické funkce; skoroperiodická řešení; lineární diferenciální rovnice; antihermitovské systémy
Keywords in English Almost periodic functions; almost periodic solutions; linear differential equations; skew-Hermitian systems
Tags AKR, rivok
Changed by Changed by: doc. RNDr. Michal Veselý, Ph.D., učo 78392. Changed: 9/1/2012 13:40.
Abstract
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.
Links
GC201/09/J009, research and development projectName: Oscilační a spektrální teorie diferenciálních a diferenčních systémů
Investor: Czech Science Foundation, International projects
MUNI/A/0964/2009, internal MU codeName: Matematické struktury (Acronym: Matematické struktury)
Investor: Masaryk University, Grant Agency of Masaryk University, Category A
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