Results 81 to 90 of about 46,976 (223)

Random attractors for stochastic lattice reversible Gray-Scott systems with additive noise

open access: yesElectronic Journal of Differential Equations, 2015
In this article, we prove the existence of a random attractor of the stochastic three-component reversible Gray-Scott system on infinite lattice with additive noise.
Hongyan Li, Junyi Tu
doaj  

Bifurcation of Gradient Mappings Possessing the Palais-Smale Condition

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
This paper considers bifurcation at the principal eigenvalue of a class of gradient operators which possess the Palais-Smale condition. The existence of the bifurcation branch and the asymptotic nature of the bifurcation is verified by using the ...
Elliot Tonkes
doaj   +1 more source

Spectral properties of asymptotically compact operator sequences

open access: yes, 2021
A set of linear operators on a normed linear space is called collectively compact if the union of the images of the unit ball has compact closure. The concept of collectively compact sets on normed linear spaces was introduced by Anselone and Moore. A necessary and sufficient condition for a set to be collectively compact established by J.A.
openaire   +1 more source

Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains

open access: yesAbstract and Applied Analysis, 2014
We prove the existence of a pullback attractor in L2(ℝn) for the stochastic Ginzburg-Landau equation with additive noise on the entire n-dimensional space ℝn.
Qiuying Lu, Guifeng Deng, Weipeng Zhang
doaj   +1 more source

Upper semicontinuity of random attractors for non-compact random dynamical systems

open access: yesElectronic Journal of Differential Equations, 2009
The upper semicontinuity of random attractors for non-compact random dynamical systems is proved when the union of all perturbed random attractors is precompact with probability one.
Bixiang Wang
doaj  

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