Počet záznamů: 1

Continuous dependence of solutions of generalized linear differential equations on a parameter

  1. 1.
    0343852 - MU-W 2011 RIV IL eng J - Článek v odborném periodiku
    Halas, Z. - Tvrdý, Milan
    Continuous dependence of solutions of generalized linear differential equations on a parameter.
    Functional Differential Equations. Roč. 16, č. 2 (2009), s. 299-313 ISSN 0793-1786
    Grant CEP: GA AV ČR IAA100190703
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: generalized linear differential equations * continuous dependence on a parameter * Perron-Stieltjes integral * Kurzweil-Stieltjes integral
    Kód oboru RIV: BA - Obecná matematika

    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.
    Trvalý link: http://hdl.handle.net/11104/0186230
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