First-Order Singular and Discontinuous Differential Equations

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URI: http://hdl.handle.net/10347/22855
ISSN: 1687-2762
E-ISSN: 1687-2770
DOI: 10.1155/2009/507671

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2009

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SpringerOpen
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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.

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Weak Solution| Extremal Solution| Countable Family| Great Solution| Null Measure

Bibliographic citation

Biles, D., López Pouso, R. First-Order Singular and Discontinuous Differential Equations. Bound Value Probl 2009, 507671 (2009). https://doi.org/10.1155/2009/507671

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The research of Rodrigo Lopez Pouso is partially supported by Ministerio de Educaci ´ on´ y Ciencia, Spain, Project MTM2007-61724, and by Xunta de Galicia, Spain, Project PGIDIT06PXIB207023PR

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Copyright © 2009 D. C. Biles and R. Lopez Pouso. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

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Estatística, Análise Matemática e Optimización