Linear even order homogenous difference equation with delay in
coefficient

J 2020

Linear even order homogenous difference equation with delay in coefficient

JEKL, Jan

Základní údaje

Originální název

Linear even order homogenous difference equation with delay in coefficient

Autoři

JEKL, Jan (203 Česká republika, garant, domácí)

Vydání

Electronic Journal of Qualitative Theory of Differential Equations, Szeged, University of Szeged, 2020, 1417-3875

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Maďarsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 1.874

Kód RIV

RIV/00216224:14310/20:00114225

Organizační jednotka

Přírodovědecká fakulta

DOI

https://doi.org/10.14232/ejqtde.2020.1.45

UT WoS

000544907500001

EID Scopus

2-s2.0-85093890318

Klíčová slova anglicky

coefficient delayed equations; separately disconjugate; oscillation theory; minimal solution; difference equation

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 24. 11. 2020 10:10, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

We use many classical results known for the self-adjoint second-order linear equation and extend them for a three-term even order linear equation with a delay applied to coefficients. We derive several conditions concerning the oscillation and the existence of positive solutions. Our equation for a choice of parameter is disconjugate, and for a different choice can have positive and oscillatory solutions at the same time. However, it is still, in a sense, disconjugate if we use a weaker definition of oscillation.

Návaznosti

GA20-11846S, projekt VaV

Název: Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace

Investor: Grantová agentura ČR, Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace

MUNI/A/0885/2019, interní kód MU

Název: Matematické struktury 9 (Akronym: Matematické struktury 9)

Investor: Masarykova univerzita, Matematické struktury 9, DO R. 2020_Kategorie A - Specifický výzkum - Studentské výzkumné projekty

Citovat

JEKL, Jan. Linear even order homogenous difference equation with delay in coefficient. Electronic Journal of Qualitative Theory of Differential Equations. Szeged: University of Szeged, 2020, Neuveden, č. 45, s. 1-19. ISSN 1417-3875. Dostupné z: https://doi.org/10.14232/ejqtde.2020.1.45.

@article{1669598,
   author = {Jekl, Jan},
   article_location = {Szeged},
   article_number = {45},
   doi = {https://doi.org/10.14232/ejqtde.2020.1.45},
   keywords = {coefficient delayed equations; separately disconjugate; oscillation theory; minimal solution; difference equation},
   language = {eng},
   issn = {1417-3875},
   journal = {Electronic Journal of Qualitative Theory of Differential Equations},
   title = {Linear even order homogenous difference equation with delay in coefficient},
   url = {http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8213},
   volume = {Neuveden},
   year = {2020}
}

TY  - JOUR
ID  - 1669598
AU  - Jekl, Jan
PY  - 2020
TI  - Linear even order homogenous difference equation with delay in coefficient
JF  - Electronic Journal of Qualitative Theory of Differential Equations
VL  - Neuveden
IS  - 45
SP  - 1-19
EP  - 1-19
PB  - University of Szeged
SN  - 14173875
KW  - coefficient delayed equations
KW  - separately disconjugate
KW  - oscillation theory
KW  - minimal solution
KW  - difference equation
UR  - http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8213
L2  - http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8213
N2  - We use many classical results known for the self-adjoint second-order linear equation and extend them for a three-term even order linear equation with a delay applied to coefficients. We derive several conditions concerning the oscillation and the existence of positive solutions. Our equation for a choice of parameter is disconjugate, and for a different choice can have positive and oscillatory solutions at the same time. However, it is still, in a sense, disconjugate if we use a weaker definition of oscillation.
ER  -

JEKL, Jan. Linear even order homogenous difference equation with delay in coefficient. \textit{Electronic Journal of Qualitative Theory of Differential Equations}. Szeged: University of Szeged, 2020, Neuveden, č.~45, s.~1-19. ISSN~1417-3875. Dostupné z: https://doi.org/10.14232/ejqtde.2020.1.45.

Přehled o publikaci