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Proceedings of the American Mathematical Society

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

Author: J. Ángel Cid
Journal: Proc. Amer. Math. Soc. 133 (2005), 2661-2670
MSC (2000): Primary 34A12, 34K10
Published electronically: March 21, 2005
MathSciNet review: 2146212
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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.

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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

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
Published electronically: March 21, 2005
Communicated by: Carmen C. Chicone
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.