On the dimension of the solutions set to the homogeneous linear functional differential equation of the first order

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26510%2F12%3APU102516" target="_blank" >RIV/00216305:26510/12:PU102516 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

On the dimension of the solutions set to the homogeneous linear functional differential equation of the first order

Original language description

Consider the homogeneous equation $$ u'(t)=ell (u)(t)qquad mbox {for a.e. } tin [a,b] $$ where $ell colon C([a,b];Bbb R)to L([a,b];Bbb R)$ is a linear bounded operator. The efficient conditions guaranteeing that the solution set to the equationconsidered is one-dimensional, generated by a positive monotone function, are established. The results obtained are applied to get new efficient conditions sufficient for the solvability of a class of boundary value problems for first order linear functional differential equations.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2012

Confidentiality

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

Name of the periodical

Czechoslovak Mathematical Journal

ISSN

0011-4642

e-ISSN

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Volume of the periodical

62

Issue of the periodical within the volume

4

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

20

Pages from-to

1033-1053

UT code for WoS article

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EID of the result in the Scopus database

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