Open Access Research Article

First-Order Singular and Discontinuous Differential Equations

DanielC Biles1 and Rodrigo López Pouso2*

Author Affiliations

1 Department of Mathematics, Belmont University, 1900 Belmont Blvd., Nashville, TN 37212, USA

2 Department of Mathematical Analysis, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain

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Boundary Value Problems 2009, 2009:507671  doi:10.1155/2009/507671

Published: 9 June 2009

Abstract

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.