Results 31 to 40 of about 1,839,360 (254)
Upper Semicontinuity of Solution Mappings to Parametric Generalized Vector Quasiequilibrium Problems
Journal of Function Spaces, 2015 We establish the upper semicontinuity of solution mappings for a class of parametric generalized vector quasiequilibrium problems. As applications, we obtain the upper semicontinuity of solution mappings to several problems, such as parametric ...
Shu-qiang Shan, Yu Han, Nan-jing Huang
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Abstract and Applied Analysis, 2011 We present a decomposition of two topologies which characterize the upper and lower semicontinuity of the limit function to visualize their hidden and opposite roles with respect to the upper and lower semicontinuity and consequently the continuity of ...
Agata Caserta
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On Lower Semicontinuity and Metric Upper Semicontinuity of Nemytskii Set-Valued Operators
Zeitschrift für Analysis und ihre Anwendungen, 1994 Sufficient conditions of lower semicontinuity and metric upper semicontinuity of Nemytskii set-valued operators N_F generated by a set-valued function F: \Omega \times X \to 2^Y , where X
S. Rolewicz, Song Wen
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Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise
Abstract and Applied Analysis, 2014 Long time behavior of stochastic Ginzburg-Landau equations with nonautonomous deterministic external forces, dispersion coefficients, and nonautonomous perturbations is studied. The domain is taken as a bounded interval I in R.
Yangrong Li, Hongyong Cui
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Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains
Complexity, 2022 In this paper, we study the asymptotic behavior of solutions to the Kirchhoff type stochastic plate equation driven by additive noise defined on unbounded domains.
Xiaobin Yao, Zhang Zhang
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Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise
Journal of Function Spaces, 2018 In this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained.
Xiaoyao Jia, Xiaoquan Ding
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Discrete and Continuous Dynamical Systems. Series A, 2021 Consider the second order nonautonomous lattice systemswith singular perturbations \begin{document}$ \begin{equation*} \epsilon \ddot{u}_{m}+\dot{u}_{m}+(Au)_{m}+\lambda_{m}u_{m}+f_{m}(u_{j}|j\in I_{mq}) = g_{m}(t),\; \; m\in \mathbb{Z}^{k ...
Na Lei, Shengfan Zhou
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Upper semicontinuity of automorphism groups
Mathematische Annalen, 1994 The authors prove striking results on upper semicontinuity of automorphism groups. They show, for example, that if pairs \((M_j, G_j)\) \((M_j\) connected complex manifolds and \(G_j\) subgroups of \(\Aut (M_j))\) converge on compacta to a pair \((M,G)\), where \(M\) is a hyperbolic complex manifold and \(G\) is a subgroup of \(\Aut (M)\), then \(G_j\)
Fridman, Buma L., Poletsky, Evgeny A.
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Dynamics of plate equations with time delay driven by additive noise in R n $\mathbb{R}^{n}$
Journal of Inequalities and Applications, 2023 This paper is concerned with the asymptotic behavior of solutions for plate equations with delay blurred by additive noise in R n $\mathbb{R}^{n}$ . First, we obtain the uniform compactness of pullback random attractors of the problem, then derive the ...
Xiaobin Yao
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Normal Hyperbolicity and Continuity of Global Attractors for a Nonlocal Evolution Equations
International Journal of Differential Equations, 2014 We show the normal hyperbolicity property for the equilibria of the evolution equation ∂m(r,t)/∂t=-m(r,t)+g(βJ*m(r,t)+βh), h,β≥0, and using the normal hyperbolicity property we prove the continuity (upper semicontinuity and lower semicontinuity) of the ...
Severino Horácio da Silva +2 more
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