On the Cauchy problem for linear hyperbolic functional-differential equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00377958" target="_blank" >RIV/67985840:_____/12:00377958 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s10587-012-0037-2" target="_blank" >http://dx.doi.org/10.1007/s10587-012-0037-2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10587-012-0037-2" target="_blank" >10.1007/s10587-012-0037-2</a>

Result language

angličtina

Original language name

On the Cauchy problem for linear hyperbolic functional-differential equations

Original language description

In the paper, he question of the existence, uniqueness, and continuous dependence on parameters of the Carathéodory solutions to the Cauchy problem for linear partial functional-differential equations of hyperbolic type is studied. A theorem on the Fredholm alternative is also proved. The results obtained are new even in the case of equations without argument deviations, because an absolute continuity of the function the Cauchy problem is prescribed on is not supposed, which is rather usual assumption in the existing literature.

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

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

2

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

50

Pages from-to

391-440

UT code for WoS article

000309864300007

EID of the result in the Scopus database

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