Proceedings of the American Mathematical Society

Author(s): Feng Cao; Jifa Jiang
Journal: Proc. Amer. Math. Soc.
MSC (2000): Primary 37H05, 37C65, 34D05
Posted: November 3, 2009
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Abstract: Suppose that $(\theta,\varphi)$ is a monotone (order-preserving) random dynamical system (RDS for short) with state space

, where

is a real separable Banach space with a normal solid minihedral cone $V_{+}$ . It is proved that the unique equilibrium of $(\theta,\varphi)$ is globally attractive if every pull-back trajectory has compact closure in

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 37H05, 37C65, 34D05

Feng Cao
Affiliation: Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China
Email: caofeng@mail.ustc.edu.cn

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

DOI: 10.1090/S0002-9939-09-09912-2
PII: S 0002-9939(09)09912-2
Keywords: Random dynamical systems, monotonicity, global stability
Received by editor(s): September 23, 2008,
Received by editor(s) in revised form: January 17, 2009
Posted: November 3, 2009
Additional Notes: The second author is partially supported by Chinese NNSF grants 10671143 and 10531030 and Shanghai NSF grant 09ZR1423100 and is the corresponding author.
Communicated by: Jane M. Hawkins
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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