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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Some remarks on a boundedness assumption
for monotone dynamical systems


Author: E. N. Dancer
Journal: Proc. Amer. Math. Soc. 126 (1998), 801-807
MSC (1991): Primary 47H15
MathSciNet review: 1443378
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Abstract: We study the consequences of the assumption that all forward orbits are bounded for monotone dynamical systems. In particular, it turns out that this assumption has more implications than is immediately apparent.


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Additional Information

E. N. Dancer
Affiliation: School of Mathematics and Statistics, University of Sydney, N.S.W. 2006, Australia
Email: dancer_n@maths.su.oz.au

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04276-2
PII: S 0002-9939(98)04276-2
Received by editor(s): September 5, 1996
Communicated by: Hal L. Smith
Article copyright: © Copyright 1998 American Mathematical Society