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ArticleOriginal scientific text

Title

A descriptive, additive modification of Mawhin's integral and the Divergence Theorem with singularities

Authors 1

Affiliations

  1. Abt. Mathematik II, Universität Ulm, D-89069 Ulm, Germany

Abstract

Modifying Mawhin's definition of the GP-integral we define a well-behaved integral over n-dimensional compact intervals. While its starting definition is of Riemann type, we also establish an equivalent descriptive definition involving characteristic null conditions. This characterization is then used to obtain a quite general form of the divergence theorem.

Keywords

ENG
Mawhin's integral, additive interval function, divergence theorem

Bibliography

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Annales Polonici Mathematici
1994/59/1
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Pages:
85-98
Main language of publication
English
Received
1993-05-06
Published
1994
Exact and natural sciences