Random attractors for stochastic discrete Klein-Gordon-Schrödinger equations driven by fractional Brownian motions

Ji Shu

doi:10.3934/dcdsb.2017077

Article Contents

2017, Volume 22, Issue 4: 1587-1599. Doi: 10.3934/dcdsb.2017077

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Random attractors for stochastic discrete Klein-Gordon-Schrödinger equations driven by fractional Brownian motions

Ji Shu

College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China

Received: March 31, 2016

Revised: October 31, 2016

Published: August 2017

The author is supported by the National Natural Science Foundation of China grant 11371267,11571245 and the Basic Project of Sichuan Provincial Science and Technology Department grant 2016JY0204.

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Abstract

In this paper, we study the asymptotic behavior of the stochastic discrete Klein-Gordon-Schrödinger equations driven by fractional Brownian motions. With the properties of fractional Brownian motions, we prove the existence of a singleton sets random attractor.

Keywords:

Random dynamical system,
random attractor,
stochastic discrete Klein-Gordon-Schrödinger equations,
fractional Brownian motion.

Mathematics Subject Classification: Primary:37L55, 60H15;Secondary:35Q56.

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