Existence theory for first order discontinuous functional differential equations
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- by Eduardo Liz and Rodrigo L. Pouso PDF
- Proc. Amer. Math. Soc. 130 (2002), 3301-3311 Request permission
Corrigendum: Proc. Amer. Math. Soc. 132 (2004), 3135-3136.
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.References
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Additional Information
- Eduardo Liz
- Affiliation: Departamento de Matemática Aplicada, E.T.S.E. Telecomunicación, Universidade de Vigo, Campus Marcosende, 36280 Vigo, Spain
- Email: eliz@dma.uvigo.es
- Rodrigo L. Pouso
- Affiliation: Departamento de Análise Matemática, Facultade de Matemáticas, Campus Sur, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
- Email: rodrigolp@correo.usc.es
- Received by editor(s): July 10, 2000
- Received by editor(s) in revised form: June 13, 2001
- Published electronically: March 25, 2002
- Additional Notes: This research was partially supported by D.G.E.S. (Spain), projects PB97 – 0552 and HP1999-0026.
- Communicated by: Carmen Chicone
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3301-3311
- MSC (1991): Primary 34A12, 34K07, 34K10
- DOI: https://doi.org/10.1090/S0002-9939-02-06480-8
- MathSciNet review: 1913010