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Continuous dependence of solutions of generalized linear differential equations on a parameter
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SYSNO ASEP 0343852 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title Continuous dependence of solutions of generalized linear differential equations on a parameter Author(s) Halas, Z. (CZ)
Tvrdý, Milan (MU-W) RID, ORCID, SAISource Title Functional Differential Equations. - : Ariel University - ISSN 0793-1786
Roč. 16, č. 2 (2009), s. 299-313Number of pages 15 s. Language eng - English Country IL - Israel Keywords generalized linear differential equations ; continuous dependence on a parameter ; Perron-Stieltjes integral ; Kurzweil-Stieltjes integral Subject RIV BA - General Mathematics R&D Projects IAA100190703 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) Annotation Our aim is to present some new results on continuous dependence of solutions to linear generalized differential equations on parameters and initial data. In particular, we generalize in several aspects the known results by Ashordia. Our main goal consists in a more general notion of a solution to the given system. In particular, neither g nor x need not be of bounded variation on [a,b] and, in general, they can be regulated functions. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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