Geodesic
A descriptive, additive modification of Mawhin's integral and the Divergence Theorem with singularities
Annales Polonici Mathematici, Tome 59 (1994) no. 1, pp. 85-98.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap-59-1-85-98
Keywords: Mawhin's integral, additive interval function, divergence theorem

Dirk Nonnenmacher 1

1 
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Dirk Nonnenmacher. A descriptive, additive modification of Mawhin's integral and the Divergence Theorem with singularities. Annales Polonici Mathematici, Tome 59 (1994) no. 1, pp. 85-98. doi : 10.4064/ap-59-1-85-98. http://geodesic.mathdoc.fr/articles/10.4064/ap-59-1-85-98/

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