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On the characteristic initial value problem for linear partial functional-differential equations of hyperbolic type

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    SYSNO ASEP0326432
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleOn the characteristic initial value problem for linear partial functional-differential equations of hyperbolic type
    TitleCharakteristická počáteční úloha pro lineární parciální funkcionálně-diferenciální rovnice hyperbolického typu
    Author(s) Šremr, Jiří (MU-W) RID, SAI, ORCID
    Source TitleProceedings of the Edinburgh Mathematical Society - ISSN 0013-0915
    Roč. 52, č. 1 (2009), s. 241-262
    Number of pages22 s.
    Languageeng - English
    CountryGB - United Kingdom
    Keywordsfunctional-differential equation of hyperbolic type ; Carathéodory solution ; characteristic initial-value problem
    Subject RIVBA - General Mathematics
    R&D ProjectsGA201/06/0254 GA ČR - Czech Science Foundation (CSF)
    CEZAV0Z10190503 - MU-W (2005-2011)
    UT WOS000263514300016
    AnnotationA characteristic initial-value problem is considered for linear functional-differential equation of hyperbolic type with discontinuous right hand side. A concept of Carathéodory solutions is used and, as a result, theorems on the Fredholm alternative and well-posedness of the problem atudied are established. Some existence results are given as well.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2010
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