First-Order Singular and Discontinuous Differential Equations
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
Boundary Value Problems 2009, 2009:507671 doi:10.1155/2009/507671Published: 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.