Equations containing locally Henstock-Kurzweil integrable functions

Seppo Heikkilä; Guoju Ye

Applications of Mathematics (2012)

  • Volume: 57, Issue: 6, page 569-580
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Heikkilä, Seppo, and Ye, Guoju. "Equations containing locally Henstock-Kurzweil integrable functions." Applications of Mathematics 57.6 (2012): 569-580. <http://eudml.org/doc/246976>.

@article{Heikkilä2012,
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.},
author = {Heikkilä, Seppo, Ye, Guoju},
journal = {Applications of Mathematics},
keywords = {integrability; Henstock-Kurzweil integral; ordered Banach space; order cone; chain; fixed point; functional integral equation; Volterra; Cauchy problem; ordered Banach space; fixed point; Volterra integral equation; Henstock-Kurzweil integral; ordered Banach space; fixed point; Cauchy problem; functional integral equation},
language = {eng},
number = {6},
pages = {569-580},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Equations containing locally Henstock-Kurzweil integrable functions},
url = {http://eudml.org/doc/246976},
volume = {57},
year = {2012},
}

TY - JOUR
AU - Heikkilä, Seppo
AU - Ye, Guoju
TI - Equations containing locally Henstock-Kurzweil integrable functions
JO - Applications of Mathematics
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 6
SP - 569
EP - 580
AB - 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.
LA - eng
KW - integrability; Henstock-Kurzweil integral; ordered Banach space; order cone; chain; fixed point; functional integral equation; Volterra; Cauchy problem; ordered Banach space; fixed point; Volterra integral equation; Henstock-Kurzweil integral; ordered Banach space; fixed point; Cauchy problem; functional integral equation
UR - http://eudml.org/doc/246976
ER -

References

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