Upper semicontinuity of uniform attractors for nonclassical diffusion equations [PDF]
Boundary Value Problems, 2017 We study the upper semicontinuity of a uniform attractor for a nonautonomous nonclassical diffusion equation with critical nonlinearity. In particular, we prove that the uniform (with respect to (w.r.t.) g ∈ Σ $g\in \Sigma $ ) attractor A Σ ε $\mathcal ...
Yonghai Wang, Pengrui Li, Yuming Qin
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Upper Semicontinuity of Random Attractors for Nonautonomous Stochastic Reversible Selkov System with Multiplicative Noise [PDF]
Advances in Mathematical Physics, 2019 In this paper, the existence of random attractors for nonautonomous stochastic reversible Selkov system with multiplicative noise has been proved through Ornstein-Uhlenbeck transformation.
Chunxiao Guo, Yanfeng Guo, Xiaohan Li
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Existence and Upper Semicontinuity of Attractors for Nonautonomous Stochastic Sine-Gordon Lattice Systems with Random Coupled Coefficients [PDF]
Discrete Dynamics in Nature and Society, 2016 We study nonautonomous stochastic sine-Gordon lattice systems with random coupled coefficients and multiplicative white noise. We first consider the existence of random attractors in a weighted space for this system and then establish the upper ...
Zhaojuan Wang, Shengfan Zhou
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Upper Semicontinuous Representations of Semiorders as Interval Orders
AxiomsWe characterize the upper semicontinuous representability of a semiorder ≺ as an interval order (namely, by a pair (u,v) of upper semicontinuous real-valued functions) on a topological space with a countable basis of open sets, where one of the ...
Gianni Bosi +2 more
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Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems [PDF]
Journal of Applied Mathematics, 2005 We investigate the existence of a global attractor and its upper semicontinuity for the infinite-dimensional lattice dynamical system of a partly dissipative reaction diffusion system in the Hilbert space l2×l2.
Ahmed Y. Abdallah
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Upper semicontinuity of random attractors for non-compact random dynamical systems [PDF]
Electronic 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
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Upper semicontinuity of closed-convex-valued multifunctions [PDF]
Mathematical Methods of Operations Research, 2003 The authors study the (Berge) upper semicontinuity of a generic multifunction assigning to each parameter in a metric space a closed convex subset in Euclidean \(n\)-space. An example is the feasible set mapping associated with a parametric family of convex semi-infinite programming problems.
María J. Cánovas +3 more
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Upper semicontinuity of attractors and continuity of equilibrium sets for parabolic problems with degenerate p-Laplacian [PDF]
Electronic Journal of Differential Equations, 2017 In this work we obtain some continuity properties on the parameter q at p=q for the Takeuchi-Yamada problem which is a degenerate p-laplacian version of the Chafee-Infante problem.
Simone Bruschi +2 more
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Existence and upper semicontinuity of global attractors for neural fields in an unbounded domain [PDF]
Electronic Journal of Differential Equations, 2010 In this article, we prove the existence and upper semicontinuity of compact global attractors for the flow of the equation $$ frac{partial u(x,t)}{partial t}=-u(x,t)+ J*(fcirc u)(x,t)+ h, quad h > 0, $$ in $L^{2}$ weighted spaces.
Severino Horacio Da Silva
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Existence and upper semicontinuity of random attractors for stochastic p-Laplacian equations on unbounded domains [PDF]
Electronic Journal of Differential Equations, 2014 The existence of a pullback attractor is established for a stochastic p-Laplacian equation on $\mathbb{R}^n$. Furthermore, the limiting behavior of random attractors of the random dynamical systems as stochastic perturbations approach zero is studied ...
Jia Li, Yangrong Li, Hongyong Cui
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