Geodesic
Equations containing locally Henstock-Kurzweil integrable functions
Applications of Mathematics, Tome 57 (2012) no. 6, pp. 569-580.

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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.
DOI : 10.1007/s10492-012-0034-7
Classification : 26A39, 28B15, 34A36, 34A37, 45N05, 46B40, 47H07, 47H10
Keywords: integrability; Henstock-Kurzweil integral; ordered Banach space; order cone; chain; fixed point; functional integral equation; Volterra; Cauchy problem; ordered Banach space; fixed point 
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     title = {Equations containing locally {Henstock-Kurzweil} integrable functions},
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Heikkilä, Seppo; Ye, Guoju. Equations containing locally Henstock-Kurzweil integrable functions. Applications of Mathematics, Tome 57 (2012) no. 6, pp. 569-580. doi : 10.1007/s10492-012-0034-7. http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0034-7/

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