Attractors of nonautonomous and stochastic differential inclusions
Caraballo, Tomás, Langa, José Antonio, Melnik, Valery S., Valero, José
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Caraballo, Tomás, Langa, José Antonio, Melnik, Valery S., Valero, José
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Papageorgiou, Nikolaos S. (1988)
International Journal of Mathematics and Mathematical Sciences
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Naseer Shahzad (2002)
Archivum Mathematicum
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In this paper we prove a general random fixed point theorem for multivalued maps in Frechet spaces. We apply our main result to obtain some common random fixed point theorems. Our main result unifies and extends the work due to Benavides, Acedo and Xu [4], Itoh [8], Lin [12], Liu [13], Tan and Yuan [20], Xu [23], etc.
Xiaoyao Jia, Juanjuan Gao, Xiaoquan Ding (2016)
Open Mathematics
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In this paper, we consider the existence of a pullback attractor for the random dynamical system generated by stochastic two-compartment Gray-Scott equation for a multiplicative noise with the homogeneous Neumann boundary condition on a bounded domain of space dimension n ≤ 3. We first show that the stochastic Gray-Scott equation generates a random dynamical system by transforming this stochastic equation into a random one. We also show that the existence of a random attractor for the...