A Nonexistence Result for the Kurzweil Integral
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چکیده
It is shown that there exist a continuous function f and a regulated function g defined on the interval [0, 1] such that g vanishes everywhere except for a countable set, and the K-integral of f with respect to g does not exist. The problem was motivated by extensions of evolution variational inequalities to the space of regulated functions.
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The distributional Henstock-Kurzweil integral and measure differential equations
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