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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

On extending existence theory from scalar ordinary differential equations to infinite quasimonotone systems of functional equations

Author(s): J. Ángel Cid
Journal: Proc. Amer. Math. Soc. 133 (2005), 2661-2670.
MSC (2000): Primary 34A12, 34K10
Posted: March 21, 2005
MathSciNet review: 2146212
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Abstract | References | Similar articles | Additional information

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.


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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

DOI: 10.1090/S0002-9939-05-07785-3
PII: S 0002-9939(05)07785-3
Keywords: Functional differential equations, infinite systems, quasimonotone, Tarski's fixed point theorem, existence of extremal solutions
Received by editor(s): November 19, 2003
Received by editor(s) in revised form: April 22, 2004
Posted: March 21, 2005
Communicated by: Carmen C. Chicone
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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