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Monotone convergence theorems for Henstock-Kurzweil integrable functions and applications |
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| Authors: | S. Heikkilä |
| Affiliation: | Department of Mathematical Sciences, University of Oulu, Box 3000, FIN-90014 University of Oulu, Finland |
| Abstract: | In this paper we prove monotone convergence theorems for Henstock-Kurzweil integrable functions from a compact real interval to an ordered Banach space. These theorems are then applied to prove existence results for solutions of a discontinuous functional integral equation containing Henstock-Kurzweil integrable functions. |
| Keywords: | Henstock-Kurzweil integral Banach space Order cone Normal Regular Fully regular Monotone convergence theorem Integral equation Urysohn Solution Least Greatest |
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