Bc. Kristína Rovňaníková
Master's thesis
Neperiodické posloupnosti
Non-periodic sequences
Abstract:
In this thesis, we discuss non-periodic sequences with values in Banach spaces and their applications to the field of almost periodic difference equations. In the first half of the thesis, several types of non-periodic sequences are described and the proofs of their properties are presented. In the second half, previous results are used in the theory of difference equations.Abstract:
V tejto diplomovej práci sa venujeme neperiodickým postupnostiam s hodnotami v Banachových priestoroch a ich aplikáciami v oblasti skoroperiodických diferenčných rovníc. V prvej polovici práce sú popísané rôzne typy neperiodických postupností a uvedené dôkazy ich vlastností. V druhej polovici sú využité predchádzajúce výsledky v teórii diferenčných rovníc.Keywords
neperiodické postupnosti skoroperiodické postupnosti asymp- toticky skoroperiodické postupnosti slabo skoroperiodické po- stupnosti pseudo skoroperiodické postupnosti ergodicita sko- roperiodické riešenia diferenčných rovníc non-periodic sequences almost periodic sequences asymptotically almost periodic sequences weakly almost periodic sequences pseudo almost periodic sequences ergodicity almost periodic solutions of difference equations
Language used: Slovak
Date on which the thesis was submitted / produced: 10. 5. 2023
Identifier:
https://is.muni.cz/th/rq859/
Thesis defence
- Date of defence: 21. 6. 2023
- Supervisor: doc. RNDr. Michal Veselý, Ph.D.
- Reader: doc. Mgr. Petr Hasil, Ph.D.
Full text of thesis
Contents of on-line thesis archive
Published in Theses:- světu
Other ways of accessing the text
Institution archiving the thesis and making it accessible: Masarykova univerzita, Přírodovědecká fakultaMasaryk University
Faculty of ScienceMaster programme / field:
Applied Mathematics / Finance and insurance mathematics
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