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Open Access Open Badges 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


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.