Equations containing locally Henstock-Kurzweil integrable functions |
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Authors: | Seppo Heikkilä Guoju Ye |
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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
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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. |
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