A stochastic Ginzburg–Landau equation with impulsive effects

Dung Nguyen Tien

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 9, 1962-1971

Abstract: In this paper we consider a stochastic Ginzburg–Landau equation with impulsive effects. We first prove the existence and uniqueness of the global solution which can be explicitly represented via the solution of a stochastic equation without impulses. Then, based on our obtained result, we study the qualitative properties of the solution, including the boundedness of moments, almost surely exponential convergence and pathwise estimations. Finally, we give a first attempt to study a fractional version of impulsive stochastic Ginzburg–Landau equations.

Keywords: Stochastic Ginzburg–Landau equation; Impulses; Asymptotic behavior (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:9:p:1962-1971

DOI: 10.1016/j.physa.2013.01.042

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