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

 

Translation-invariant monotone systems II: Almost periodic/automorphic case


Authors: Hongxiao Hu and Jifa Jiang
Journal: Proc. Amer. Math. Soc. 138 (2010), 3997-4007
MSC (2010): Primary 37B55, 37C65, 34C27, 92C45
Published electronically: May 19, 2010
MathSciNet review: 2679621
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Abstract: This paper studies almost periodic/automorphic monotone systems with positive translation invariance via skew-product flows. It is proved that every bounded solution of such systems is asymptotically almost periodic/automorphic. Applications are made to a chemical reaction network, especially to enzymatic futile cycles with almost periodic/automorphic reaction coefficients.


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Additional Information

Hongxiao Hu
Affiliation: Department of Mathematics, Tongji University, Shanghai 200029, People’s Republic of China
Email: hhxiao1@126.com

Jifa Jiang
Affiliation: Mathematics and Science College, Shanghai Normal University, Shanghai 200234, People’s Republic of China
Email: jiangjf@shnu.edu.cn

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10389-1
PII: S 0002-9939(2010)10389-1
Keywords: Positive translation invariance, monotonicity, almost periodicity/ automorphy, one-covering property
Received by editor(s): August 3, 2009
Received by editor(s) in revised form: January 17, 2010
Published electronically: May 19, 2010
Additional Notes: The second author is supported partially by Chinese NNSF grant 10671143, Shanghai NSF grant 09ZR1423100, and Innovation Program of Shanghai Municipal Education Commission and RFDP, and is the author to whom correspondence should be addressed.
Communicated by: Yingfei Yi
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.