Existence of unbounded solutions of a linear homogenous system of differential equations with two delays

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F14%3APU111009" target="_blank" >RIV/00216305:26110/14:PU111009 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10243" target="_blank" >http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10243</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3934/dcdsb.2014.19.2447" target="_blank" >10.3934/dcdsb.2014.19.2447</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Existence of unbounded solutions of a linear homogenous system of differential equations with two delays

Popis výsledku v původním jazyce

Asymptotic behavior of solutions of a linear homogeneous system of differential equations with deviating arguments in the form dot y(t)=beta(t)left[y(t-delta)-y(t-tau)right] is discussed for ttoinfty. It is assumed that y is an n-dimensional column vector, n>1$is an integer, delta,tauin{mathbb{R}}, tau>delta>0 and beta(t) is an ntimes n matrix defined for tgeq t_{0}, t_{0}inmathbb{R}, and such that its elements are nonnegative, continuous functions and in every row of this matrix is each time at least one element nonzero. The existence of solutions in an exponential form under certain assumptions is proved. Sufficient conditions for the existence of unbounded solutions are derived. The estimations for a solution are given and the scalar case is discussed as well.

Název v anglickém jazyce

Existence of unbounded solutions of a linear homogenous system of differential equations with two delays

Popis výsledku anglicky

Asymptotic behavior of solutions of a linear homogeneous system of differential equations with deviating arguments in the form dot y(t)=beta(t)left[y(t-delta)-y(t-tau)right] is discussed for ttoinfty. It is assumed that y is an n-dimensional column vector, n>1$is an integer, delta,tauin{mathbb{R}}, tau>delta>0 and beta(t) is an ntimes n matrix defined for tgeq t_{0}, t_{0}inmathbb{R}, and such that its elements are nonnegative, continuous functions and in every row of this matrix is each time at least one element nonzero. The existence of solutions in an exponential form under certain assumptions is proved. Sufficient conditions for the existence of unbounded solutions are derived. The estimations for a solution are given and the scalar case is discussed as well.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/ED2.1.00%2F03.0097" target="_blank" >ED2.1.00/03.0097: AdMaS - Pokročilé stavební materiály, konstrukce a technologie</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

ISSN

1531-3492

e-ISSN

1553-524X

Svazek periodika

19

Číslo periodika v rámci svazku

2014

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

13

Strana od-do

2447-2459

Kód UT WoS článku

000341776200007

EID výsledku v databázi Scopus

2-s2.0-84907042847