First-Order Singular and Discontinuous Differential Equations

We use subfunctions and superfunctions to derive sufficient conditions for the existence of extremal solutions to initial value problems for ordinary differential equations with discontinuous and singular nonlinearities.

Bibliographic Details
Main Authors: Daniel C. Biles, Rodrigo López Pouso
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/2009/507671
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author Daniel C. Biles
Rodrigo López Pouso
author_facet Daniel C. Biles
Rodrigo López Pouso
author_sort Daniel C. Biles
collection DOAJ
description We use subfunctions and superfunctions to derive sufficient conditions for the existence of extremal solutions to initial value problems for ordinary differential equations with discontinuous and singular nonlinearities.
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1687-2770
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spelling doaj.art-f4b9a673556f4f9aa7005fcec749adbc2022-12-22T01:02:47ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-01200910.1155/2009/507671First-Order Singular and Discontinuous Differential EquationsDaniel C. BilesRodrigo López PousoWe use subfunctions and superfunctions to derive sufficient conditions for the existence of extremal solutions to initial value problems for ordinary differential equations with discontinuous and singular nonlinearities.http://dx.doi.org/10.1155/2009/507671
spellingShingle Daniel C. Biles
Rodrigo López Pouso
First-Order Singular and Discontinuous Differential Equations
Boundary Value Problems
title First-Order Singular and Discontinuous Differential Equations
title_full First-Order Singular and Discontinuous Differential Equations
title_fullStr First-Order Singular and Discontinuous Differential Equations
title_full_unstemmed First-Order Singular and Discontinuous Differential Equations
title_short First-Order Singular and Discontinuous Differential Equations
title_sort first order singular and discontinuous differential equations
url http://dx.doi.org/10.1155/2009/507671
work_keys_str_mv AT danielcbiles firstordersingularanddiscontinuousdifferentialequations
AT rodrigolamp243pezpouso firstordersingularanddiscontinuousdifferentialequations