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Equations containing locally Henstock-Kurzweil integrable functions
Authors:Seppo Heikkilä  Guoju Ye
Institution:1. Department of Mathematical Sciences, University of Oulu, Box 3000, FIN-90014, Oulu, Finland
2. College of Science, Hohai University, Nanjing, 210098, P.R.China
Abstract:A fixed point theorem in ordered spaces and a recently proved monotone convergence theorem are applied to derive existence and comparison results for solutions of a functional integral equation of Volterra type and a functional impulsive Cauchy problem in an ordered Banach space. A novel feature is that equations contain locally Henstock-Kurzweil integrable functions.
Keywords:
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