Boundary Value Problems
Volume 2009 (2009), Article ID 507671, 25 pages
doi:10.1155/2009/507671
First-order singular and discontinuous differential equations
Daniel C. Biles1
and Rodrigo López Pouso2
1Department of Mathematics, Belmont University, 1900 Belmont Blvd., Nashville, TN 37212, USA
2Department of Mathematical Analysis, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain
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.