Well-posedness results for differential and integral equations containing Henstock–Kurzweil integrable vector-valued functions |
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| Authors: | S Heikkilä |
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| Institution: | aDepartment of Mathematical Sciences, University of Oulu, Box 3000, FIN-90014, University of Oulu, Finland |
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| Abstract: | In this paper, we prove existence, uniqueness and comparison results for solutions of differential and integral equations in Banach spaces containing Henstock–Kurzweil integrable functions from a compact real interval to an ordered Banach space. |
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| Keywords: | Henstock&ndash Kurzweil integral Banach space Fixed point Integral equation Cauchy problem Solution Unique Mild |
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