A descriptive, additive modification of Mawhin's integral and the Divergence Theorem with singularities
Tom 59 / 1994
Annales Polonici Mathematici 59 (1994), 85-98 DOI: 10.4064/ap-59-1-85-98
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.