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Physical Sciences and Engineering Mathematics Analysis

Differential and integral equations with Henstock-Kurzweil integrable functions

Article ID Journal Published Year Pages File Type
6419430 Journal of Mathematical Analysis and Applications 2011 9 Pages PDF
Abstract

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.

Keywords
NormalBanach spaceSolutionCauchy problemIntegral equationBanach latticeFixed point
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Differential and integral equations with Henstock-Kurzweil integrable functions
Authors
S. Heikkilä,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Normal
Banach space
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Cauchy problem
Integral equation
Banach lattice
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