Differential and integral equations with Henstock–Kurzweil integrable functions

In this paper we apply fixed point theorems for increasing mappings in ordered normed spaces to prove existence and comparison results for solutions of discontinuous functional differential and integral equations containing Henstock–Kurzweil integrable functions.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2011-07, Vol.379 (1), p.171-179
Main Author: Heikkilä, S.
Format: Article
Language:English
Subjects:
Banach lattice
Banach space
Cauchy problem
Exact sciences and technology
Fixed point
Fully regular
Functional analysis
Global analysis, analysis on manifolds
Henstock–Kurzweil integral
Integral equation
Integral equations
Mathematical analysis
Mathematics
Normal
Order cone
Ordinary differential equations
Sciences and techniques of general use
Solution
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Weakly complete
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Description
Summary:In this paper we apply fixed point theorems for increasing mappings in ordered normed spaces to prove existence and comparison results for solutions of discontinuous functional differential and integral equations containing Henstock–Kurzweil integrable functions.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2010.12.050