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On the characteristic initial value problem for linear partial functional-differential equations of hyperbolic type
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SYSNO ASEP 0326432 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On the characteristic initial value problem for linear partial functional-differential equations of hyperbolic type Title Charakteristická počáteční úloha pro lineární parciální funkcionálně-diferenciální rovnice hyperbolického typu Author(s) Šremr, Jiří (MU-W) RID, SAI, ORCID Source Title Proceedings of the Edinburgh Mathematical Society - ISSN 0013-0915
Roč. 52, č. 1 (2009), s. 241-262Number of pages 22 s. Language eng - English Country GB - United Kingdom Keywords functional-differential equation of hyperbolic type ; Carathéodory solution ; characteristic initial-value problem Subject RIV BA - General Mathematics R&D Projects GA201/06/0254 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000263514300016 Annotation A 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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