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.
@article{bwmeta1.element.bwnjournal-article-apmv59z1p85bwm,
author = {Dirk Jens F. Nonnenmacher},
title = {A descriptive, additive modification of Mawhin's integral and the Divergence Theorem with singularities},
journal = {Annales Polonici Mathematici},
volume = {60},
year = {1994},
pages = {85-98},
zbl = {0808.26007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv59z1p85bwm}
}
Dirk Jens F. Nonnenmacher. A descriptive, additive modification of Mawhin's integral and the Divergence Theorem with singularities. Annales Polonici Mathematici, Tome 60 (1994) pp. 85-98. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv59z1p85bwm/
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