1. A nonexistence result for the Kurzweil integral
- Creator:
- Krejčí, Pavel and Kurzweil, Jaroslav
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Kurzweil integral and regulated functions
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public