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Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations

Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential... We prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary conditions admitting only the existence of a lower solution. To this aim, we prove an appropriate fixed point theorem in partially ordered sets. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Order Springer Journals

Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations

Order , Volume 22 (3) – Nov 22, 2005

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References (10)

Publisher
Springer Journals
Copyright
Copyright © 2005 by Springer Science+Business Media, Inc.
Subject
Mathematics; Theory of Computation ; Geometry ; Convex and Discrete Geometry
ISSN
0167-8094
eISSN
1572-9273
DOI
10.1007/s11083-005-9018-5
Publisher site
See Article on Publisher Site

Abstract

We prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary conditions admitting only the existence of a lower solution. To this aim, we prove an appropriate fixed point theorem in partially ordered sets.

Journal

OrderSpringer Journals

Published: Nov 22, 2005

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