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Integration of functionsrd-continuous on time scales

โœ Scribed by Yu. V. Pokornyi; Zh. I. Bakhtina


Book ID
111455293
Publisher
SP MAIK Nauka/Interperiodica
Year
2011
Tongue
English
Weight
176 KB
Volume
83
Category
Article
ISSN
1064-5624

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In this paper we study the process of Riemann and Lebesgue integration on time scales. The relationship of the Riemann and Lebesgue integrals is considered and a criterion for Riemann integrability is established.

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We consider a version of the double integral calculus of variations on time scales, which includes as special cases the classical two-variable calculus of variations and the discrete two-variable calculus of variations. Necessary and sufficient conditions for a local extremum are established, among