On differentiation of a Lebesgue Integral with respect to a Parameter
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Šremr, Jiří
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Mark
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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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Abstract
The aim of this paper is to discuss the absolute continuity of certain composite functions and di erentiation of a Lebesgue integral with respect to a parameter. The results obtained are useful when analyzing strong solutions of partial di erential equations with Carath eodory right-hand sides.
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Mathematics for Applications. 2012, 1, č. 1, s. 91-116. ISSN 1805-3629.
http://ma.fme.vutbr.cz/archiv/1_1/91_116.pdf
http://ma.fme.vutbr.cz/archiv/1_1/91_116.pdf
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en