Asymptotically almost periodic solutions of limit and almost
periodic linear difference systems

J 2015

Asymptotically almost periodic solutions of limit and almost periodic linear difference systems

CHVÁTAL, Martin

Basic information

Original name

Asymptotically almost periodic solutions of limit and almost periodic linear difference systems

Name in Czech

Asymptoticky skoroperiodická řešení limitně periodických a skoroperiodických lineárních diferenčních systémů

Authors

CHVÁTAL, Martin (203 Czech Republic, guarantor, belonging to the institution)

Edition

Electronic Journal of Qualitative Theory of Differential Equations, Electronic Journal of Qualitative Theory of Differential Equations, 2015, 1417-3875

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Hungary

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 0.732

RIV identification code

RIV/00216224:14310/15:00081547

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.14232/ejqtde.2015.1.75

UT WoS

000365266300001

Keywords (in Czech)

limitní periodičnost; skoroperiodičnost; asymptotická skoroperiodičnost; limitně periodické posloupnosti; skoroperiodické posloupnosti; lineární diferenční systémy

Keywords in English

limit periodicity; almost periodicity; asymptotic almost periodicity; limit periodic sequences; almost periodic sequences; linear difference systems

Abstract

ORIG CZ

V originále

In this paper, limit periodic and almost periodic homogeneous linear difference systems are considered. We study the systems in which the coefficient matrices are taken from a given bounded group and the elements of the matrices are from an infinite field with an absolute value. We show a condition on limit periodic and almost periodic systems which ensures, that the considered systems can be transformed into new systems having certain properties. The new systems possess non-asymptotically almost periodic solutions. The transformation can be done by arbitrarily small changes.

In Czech

V tomto článku jsou zkoumány limitně periodické a skoroperiodické lineární diferenční systémy. Studujeme systémy, jejichž zadávající matice jsou z dané ohraničené grupy a jejich jednotlivé prvky jsou vzaty z nekonečného tělesa s absolutní hodnotou. V tomto článku uvádíme podmínku, která zajistí, že dané systémy mohou být pomocí libovolně malých změn převedeny na systémy nové, které obsahují řešení, které není asymptoticky skoro periodické.

Links

GAP201/10/1032, research and development project

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

Investor: Czech Science Foundation

MUNI/A/1490/2014, interní kód MU

Name: Matematické struktury

Investor: Masaryk University, Category A

Citovat

CHVÁTAL, Martin. Asymptotically almost periodic solutions of limit and almost periodic linear difference systems. Electronic Journal of Qualitative Theory of Differential Equations. Electronic Journal of Qualitative Theory of Differential Equations, 2015, vol. 2015, No 75, p. "nestrankovano", 17 pp. ISSN 1417-3875. Available from: https://dx.doi.org/10.14232/ejqtde.2015.1.75.

@article{1334074,
   author = {Chvátal, Martin},
   article_number = {75},
   doi = {http://dx.doi.org/10.14232/ejqtde.2015.1.75},
   keywords = {limit periodicity; almost periodicity; asymptotic almost periodicity; limit periodic sequences; almost periodic sequences; linear difference systems},
   language = {eng},
   issn = {1417-3875},
   journal = {Electronic Journal of Qualitative Theory of Differential Equations},
   title = {Asymptotically almost periodic solutions of limit and almost periodic linear difference systems},
   url = {http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4323},
   volume = {2015},
   year = {2015}
}

TY  - JOUR
ID  - 1334074
AU  - Chvátal, Martin
PY  - 2015
TI  - Asymptotically almost periodic solutions of limit and almost periodic linear difference systems
JF  - Electronic Journal of Qualitative Theory of Differential Equations
VL  - 2015
IS  - 75
SP  - "nestrankovano"
EP  - "nestrankovano"
PB  - Electronic Journal of Qualitative Theory of Differential Equations
SN  - 14173875
KW  - limit periodicity
KW  - almost periodicity
KW  - asymptotic almost periodicity
KW  - limit periodic sequences
KW  - almost periodic sequences
KW  - linear difference systems
UR  - http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4323
L2  - http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4323
N2  - In this paper, limit periodic and almost periodic homogeneous linear difference systems are considered. We study the systems in which the coefficient matrices are taken from a given bounded group and the elements of the matrices are from an infinite field with an absolute value. We show a condition on limit periodic and almost periodic systems which ensures, that the considered systems can be transformed into new systems having certain properties. The new systems possess non-asymptotically almost periodic solutions. The transformation can be done by arbitrarily small changes.
ER  -

CHVÁTAL, Martin. Asymptotically almost periodic solutions of limit and almost periodic linear difference systems. \textit{Electronic Journal of Qualitative Theory of Differential Equations}. Electronic Journal of Qualitative Theory of Differential Equations, 2015, vol.~2015, No~75, p.~''nestrankovano'', 17 pp. ISSN~1417-3875. Available from: https://dx.doi.org/10.14232/ejqtde.2015.1.75.

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