A Survey of Recent Results for the Generalizations of Ordinary Differential Equations-Reference-Cited by-同舟云学术

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

Published:2014 Issue: Volume:2014 Page:1-9
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Biles Daniel C.¹,Federson Márcia²,Pouso Rodrigo López³

Affiliation:

1. Department of Mathematics and Computer Science, Belmont University, 1900 Belmont Boulevard, Nashville, TN 37212, USA

2. Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Campus de São Carlos, Caixa Postal 668, 13560-9701900 São Carlos, SP, Brazil

3. Department of Mathematical Analysis, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain

Abstract

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/260409.pdf

Reference77 articles.

1. Existence and uniqueness of solutions of ordinary differential equations

2. One-Dimensional Differential Equations under Weak Assumptions

3. On Carathéodory’s conditions for the initial value problem

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