On extending existence theory from scalar ordinary differential equations to infinite quasimonotone systems of functional equations
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Abstract:
In this paper we use Tarski’s fixed point theorem to extend in a systematic way the existence of extremal solutions from scalar initial value problems to boundary value problems for infinite quasimonotone functional systems of differential equations.References
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Additional Information
- J. Ángel Cid
- Affiliation: Departamento de Análise Matemática, Facultade de Matemáticas, Campus Sur, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
- Address at time of publication: Departamento de Matemáticas, Escuela Universitaria Politécnica de Linares, Universidad de Jaén, c/Alfonso X el Sabio, no. 28, 23700, Linares (Jaén), Spain
- Email: angelcid@usc.es, angelcid@ujaen.es
- Received by editor(s): November 19, 2003
- Received by editor(s) in revised form: April 22, 2004
- Published electronically: March 21, 2005
- Communicated by: Carmen C. Chicone
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 2661-2670
- MSC (2000): Primary 34A12, 34K10
- DOI: https://doi.org/10.1090/S0002-9939-05-07785-3
- MathSciNet review: 2146212