Impulsive system of ODEs with general linear boundary conditions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33143638" target="_blank" >RIV/61989592:15310/13:33143638 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.math.u-szeged.hu/ejqtde/p2301.pdf" target="_blank" >http://www.math.u-szeged.hu/ejqtde/p2301.pdf</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Impulsive system of ODEs with general linear boundary conditions

Popis výsledku v původním jazyce

The paper provides an operator representation for a problem which consists of a system of ordinary differential equations of the first order with impulses at fixed times and with general linear boundary conditions z'(t) = A(t)z(t) + f(t,z(t)) for a.e. tin [a,b] subset R, z(t_i+) - z(t_i) = J_i(z(t_i)), i = 1,...,p, l(z) = c_0, c_0 in R^n. Here p,n in N, a { t_1 { ... { t_p { b, A in L^1([a,b];M_{nxn}), f in Car([a,b]xR;R^n), J_i in C(R^n;R^n), i=1,...,p, and l is a linear bounded operator on the spaceof left-continuous regulated functions on interval [a,b]. The operator l is expressed by means of the Kurzweil-Stieltjes integral and covers all linear boundary conditions for solutions of the above system subject to impulse conditions. The representation, which is based on the Green matrix to a corresponding linear homogeneous problem, leads to an existence principle for the original problem. A special case of the n-th order scalar differential equation is discussed. This approach can b

Název v anglickém jazyce

Impulsive system of ODEs with general linear boundary conditions

Popis výsledku anglicky

The paper provides an operator representation for a problem which consists of a system of ordinary differential equations of the first order with impulses at fixed times and with general linear boundary conditions z'(t) = A(t)z(t) + f(t,z(t)) for a.e. tin [a,b] subset R, z(t_i+) - z(t_i) = J_i(z(t_i)), i = 1,...,p, l(z) = c_0, c_0 in R^n. Here p,n in N, a { t_1 { ... { t_p { b, A in L^1([a,b];M_{nxn}), f in Car([a,b]xR;R^n), J_i in C(R^n;R^n), i=1,...,p, and l is a linear bounded operator on the spaceof left-continuous regulated functions on interval [a,b]. The operator l is expressed by means of the Kurzweil-Stieltjes integral and covers all linear boundary conditions for solutions of the above system subject to impulse conditions. The representation, which is based on the Green matrix to a corresponding linear homogeneous problem, leads to an existence principle for the original problem. A special case of the n-th order scalar differential equation is discussed. This approach can b

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

Electronic Journal of Qualitative Theory of Differential Equations

ISSN

1417-3875

e-ISSN

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Svazek periodika

25

Číslo periodika v rámci svazku

MAY

Stát vydavatele periodika

HU - Maďarsko

Počet stran výsledku

16

Strana od-do

1-16

Kód UT WoS článku

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EID výsledku v databázi Scopus

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