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

0343852 - MÚ 2011 RIV IL eng J - Journal Article
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
R&D Projects: GA AV ČR IAA100190703
Institutional research plan: CEZ:AV0Z10190503
Keywords : generalized linear differential equations * continuous dependence on a parameter * Perron-Stieltjes integral * Kurzweil-Stieltjes integral
Subject RIV: BA - General Mathematics

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.
Permanent Link: http://hdl.handle.net/11104/0186230