Počet záznamů: 1
Continuous dependence of solutions of generalized linear differential equations on a parameter
- 1.0343852 - MÚ 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
Počet záznamů: 1