Demonstratio mathematica: The sequential Henstock-Kurzweil delta integral on time scales

Liu, Yang; Shao, Yabin

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Title:: Demonstratio mathematica

Publication:: Warszawa: Politechnika Warszawska

Note:: Gesehen am 06.09.21; Fortsetzung der Druck-Ausgabe; Open Access; Namensnennung 4.0 International

Scope:: Online-Ressource

ISSN:: 2391-4661

ZDB-ID:: 2693084-5

VÖBB-Katalog:: 35298013

Keywords:: Zeitschrift

Classification:: Mathematik

Collection:: Mathematik

Copyright:: Rights reserved

Accessibility:: Free Access

Article

Author:: Liu, Yang; Shao, Yabin

Title:: The sequential Henstock-Kurzweil delta integral on time scales

Publication:: Warszawa: Politechnika Warszawska, 2024

Language:: English

Information:: Abstract: In this study, the basic theory of the sequential Henstock-Kurzweil delta integral on time scales will be discussed. First, we give the notion and the elementary properties of this integral; then we show the equivalence of the Henstock-Kurzweil delta integral and the sequential Henstock-Kurzweil delta integral on time scales. In addition, we consider the Cauchy criterion and the Fundamental Theorems of Calculus. Finally, we prove Henstock’s lemma and give some convergence theorems. As an application, we consider the existence theorem of a kind of functional dynamic equations.

Scope:: Online-Ressource

Note:: Open Access; Archivierung/Langzeitarchivierung gewährleistet

Keywords:: sequential Henstock-Kurzweil integral ; time scales ; delta integral ; convergence theorems ; functional dynamic equations ; 26A39 ; 26A42 ; 26E70

Classification:: Mathematik; Sonstiges

URN:: urn:nbn:de:101:1-2411091607586.047373824788

Collection:: Mathematik; Sonstiges

Copyright:: CC BY

Accessibility:: Free Access

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Full text: Neues Gesangbuch für die grosse National-Mutterloge zu den drei Weltkugeln in Berlin und deren Tochterlogen (Public Domain) Access restriction There is no access restriction for this record. Copyright Public Domain Mark 1.0. You can find more information here.

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Full text: Neues Gesangbuch für die grosse National-Mutterloge zu den drei Weltkugeln in Berlin und deren Tochterlogen (Public Domain)

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Public Domain Mark 1.0. You can find more information here.