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Uniqueness and existence results for ordinary differential equations
Authors:J Ángel Cid  Seppo Heikkilä
Institution:a Departamento de Matemáticas, E.U.P. de Linares, Universidad de Jaén, C/Alfonso X el Sabio, no 28, 23700 Linares, Jaén, Spain
b University of Oulu, Department of Mathematical Sciences, Box 3000, Oulu, Finland
c Departamento de Análise Matemática, Facultade Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
Abstract:We establish some uniqueness and existence results for first-order ordinary differential equations with constant-signed discontinuous nonlinear parts. Several examples are given to illustrate the applicability of our work.
Keywords:Existence  Uniqueness  Discontinuous ordinary differential equations
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