On the global attractivity of monotone random dynamical systems
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- by Feng Cao and Jifa Jiang PDF
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Abstract:
Suppose that $(\theta ,\varphi )$ is a monotone (order-preserving) random dynamical system (RDS for short) with state space $V$, where $V$ 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 $V$.References
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Additional Information
- 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
- Received by editor(s): September 23, 2008
- Received by editor(s) in revised form: January 17, 2009
- Published electronically: 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 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 891-898
- MSC (2000): Primary 37H05, 37C65, 34D05
- DOI: https://doi.org/10.1090/S0002-9939-09-09912-2
- MathSciNet review: 2566555