Proceedings of the American Mathematical Society

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On the global attractivity of monotone random dynamical systems

Author(s): Feng Cao; Jifa Jiang
Journal: Proc. Amer. Math. Soc. 138 (2010), 891-898.
MSC (2000): Primary 37H05, 37C65, 34D05
Posted: November 3, 2009
MathSciNet review: 2566555
Retrieve article in: PDF

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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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