A Survey of Recent Results for the Generalizations of Ordinary Differential Equations

This is a review paper on recent results for different types of generalized ordinary differential equations. Its scope ranges from discontinuous equations to equations on time scales. We also discuss their relation with inclusion and highlight the use of generalized integration to unify many of them...

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Main Authors: Daniel C. Biles, Márcia Federson, Rodrigo López Pouso
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/260409
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author Daniel C. Biles
Márcia Federson
Rodrigo López Pouso
author_facet Daniel C. Biles
Márcia Federson
Rodrigo López Pouso
author_sort Daniel C. Biles
collection DOAJ
description This is a review paper on recent results for different types of generalized ordinary differential equations. Its scope ranges from discontinuous equations to equations on time scales. We also discuss their relation with inclusion and highlight the use of generalized integration to unify many of them under one single formulation.
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institution Kabale University
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spelling doaj-art-3908b6d6b33746f789e0bb4601be35e62025-02-03T01:07:15ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/260409260409A Survey of Recent Results for the Generalizations of Ordinary Differential EquationsDaniel C. Biles0Márcia Federson1Rodrigo López Pouso2Department of Mathematics and Computer Science, Belmont University, 1900 Belmont Boulevard, Nashville, TN 37212, USAInstituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Campus de São Carlos, Caixa Postal 668, 13560-9701900 São Carlos, SP, BrazilDepartment of Mathematical Analysis, University of Santiago de Compostela, 15782 Santiago de Compostela, SpainThis is a review paper on recent results for different types of generalized ordinary differential equations. Its scope ranges from discontinuous equations to equations on time scales. We also discuss their relation with inclusion and highlight the use of generalized integration to unify many of them under one single formulation.http://dx.doi.org/10.1155/2014/260409
spellingShingle Daniel C. Biles
Márcia Federson
Rodrigo López Pouso
A Survey of Recent Results for the Generalizations of Ordinary Differential Equations
Abstract and Applied Analysis
title A Survey of Recent Results for the Generalizations of Ordinary Differential Equations
title_full A Survey of Recent Results for the Generalizations of Ordinary Differential Equations
title_fullStr A Survey of Recent Results for the Generalizations of Ordinary Differential Equations
title_full_unstemmed A Survey of Recent Results for the Generalizations of Ordinary Differential Equations
title_short A Survey of Recent Results for the Generalizations of Ordinary Differential Equations
title_sort survey of recent results for the generalizations of ordinary differential equations
url http://dx.doi.org/10.1155/2014/260409
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AT rodrigolopezpouso asurveyofrecentresultsforthegeneralizationsofordinarydifferentialequations
AT danielcbiles surveyofrecentresultsforthegeneralizationsofordinarydifferentialequations
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