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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:
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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