Limit periodic linear difference systems with coefficient
matrices from commutative groups

J 2014

Limit periodic linear difference systems with coefficient matrices from commutative groups

HASIL, Petr and Michal VESELÝ

Basic information

Original name

Limit periodic linear difference systems with coefficient matrices from commutative groups

Name in Czech

Limitně periodické lineární diferenční systémy s maticemi koeficientů z komutativních grup

Authors

HASIL, Petr (203 Czech Republic, guarantor, belonging to the institution) and Michal VESELÝ (203 Czech Republic, belonging to the institution)

Edition

Electronic Journal of Qualitative Theory of Differential Equations, Maďarsko, Electronic Journal of Qualitative Theory of Differential Equations, 2014, 1417-3875

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

Hungary

Confidentiality degree

is not subject to a state or trade secret

References:

URL

Impact factor

Impact factor: 0.817

RIV identification code

RIV/00216224:14310/14:00073665

Organization unit

Faculty of Science

UT WoS

000340924900001

Keywords (in Czech)

limitní periodičnost; skoroperiodičnost; skoroperiodické posloupnosti; skoroperiodická řešení; lineární diferenční rovnice

Keywords in English

limit periodicity; almost periodicity; almost periodic sequences; almost periodic solutions; linear difference equations

Abstract

ORIG CZ

In the original language

In this paper, limit periodic and almost periodic homogeneous linear difference systems are studied. The coefficient matrices of the considered systems belong to a given commutative group. We find a condition on the group under which the systems, whose fundamental matrices are not almost periodic, form an everywhere dense subset in the space of all considered systems.

In Czech

V tomto článku jsou studovány limitně periodické a skoroperiodické homogenní lineární diferenční systémy. Matice koeficientů uvažovaných systémů náleží do dané komutativní grupy. Je nalezena podmínka na tuto grupu, která zajistí, že systémy, jejichž fundamentální matice nejsou skoroperiodické, tvoří hustou podmnožinu v prostoru všech uvažovaných systémů.

Links

EE2.3.30.0037, research and development project

Name: Zaměstnáním nejlepších mladých vědců k rozvoji mezinárodní spolupráce

GAP201/10/1032, research and development project

Name: Diferenční rovnice a dynamické rovnice na ,,time scales'' III (Acronym: Difrov)

Investor: Czech Science Foundation

Cite

HASIL, Petr and Michal VESELÝ. Limit periodic linear difference systems with coefficient matrices from commutative groups. Electronic Journal of Qualitative Theory of Differential Equations. Maďarsko: Electronic Journal of Qualitative Theory of Differential Equations, 2014, vol. 2014, No 23, p. 1-25. ISSN 1417-3875.

@article{1184743,
   author = {Hasil, Petr and Veselý, Michal},
   article_location = {Maďarsko},
   article_number = {23},
   keywords = {limit periodicity; almost periodicity; almost periodic sequences; almost periodic solutions; linear difference equations},
   language = {eng},
   issn = {1417-3875},
   journal = {Electronic Journal of Qualitative Theory of Differential Equations},
   title = {Limit periodic linear difference systems with coefficient matrices from commutative groups},
   url = {http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2795},
   volume = {2014},
   year = {2014}
}

TY  - JOUR
ID  - 1184743
AU  - Hasil, Petr - Veselý, Michal
PY  - 2014
TI  - Limit periodic linear difference systems with coefficient matrices from commutative groups
JF  - Electronic Journal of Qualitative Theory of Differential Equations
VL  - 2014
IS  - 23
SP  - 1-25
EP  - 1-25
PB  - Electronic Journal of Qualitative Theory of Differential Equations
SN  - 14173875
KW  - limit periodicity
KW  - almost periodicity
KW  - almost periodic sequences
KW  - almost periodic solutions
KW  - linear difference equations
UR  - http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2795
L2  - http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2795
N2  - In this paper, limit periodic and almost periodic homogeneous linear difference systems are studied. The coefficient matrices of the considered systems belong to a given commutative group. We find a condition on the group under which the systems, whose fundamental matrices are not almost periodic, form an everywhere dense subset in the space of all considered systems.
ER  -

HASIL, Petr and Michal VESELÝ. Limit periodic linear difference systems with coefficient matrices from commutative groups. \textit{Electronic Journal of Qualitative Theory of Differential Equations}. Maďarsko: Electronic Journal of Qualitative Theory of Differential Equations, 2014, vol.~2014, No~23, p.~1-25. ISSN~1417-3875.

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