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Existence theory for first order discontinuous functional differential equations |
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| Authors: | Eduardo Liz Rodrigo L Pouso |
| Institution: | Departamento de Matemática Aplicada, E.T.S.E. Telecomunicación, Universidade de Vigo, Campus Marcosende, 36280 Vigo, Spain ; Departamento de Análise Matemática, Facultade de Matemáticas, Campus Sur, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain |
| Abstract: | We prove the existence of extremal solutions for a first order functional differential equation subject to nonlinear boundary conditions of functional type. Moreover, the functions that define our problem are allowed to be discontinuous. The proof of our main result is based on a generalized iterative technique. |
| Keywords: | Discontinuous functional differential equations extremal solutions existence results |
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