Results 91 to 100 of about 11,508 (202)

R-closedness and Upper semicontinuity

, 2012
Let $\mathcal{F} $ be a pointwise almost periodic decomposition of a compact metrizable space $X$. Then $\mathcal{F} $ is $R$-closed if and only if $\hat{\mathcal{F}} $ is usc. Moreover, if there is a finite index normal subgroup $H$ of an $R$-closed flow $G$ on a compact manifold such that the orbit closures of $H$ consist of codimension $k$ compact ...
openaire   +2 more sources

Continuity of the Solution Maps for Generalized Parametric Set-Valued Ky Fan Inequality Problems

Journal of Applied Mathematics, 2012
Under new assumptions, we provide suffcient conditions for the (upper and lower) semicontinuity and continuity of the solution mappings to a class of generalized parametric set-valued Ky Fan inequality problems in linear metric space.
Z. Y. Peng, X. B. Li
doaj   +1 more source

Existence and upper semicontinuity of random attractors for stochastic p-Laplacian equations on unbounded domains

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
doaj  

Attractors for Damped Semilinear Wave Equations with Singularly Perturbed Acoustic Boundary Conditions

, 2018
Under consideration is the damped semilinear wave equation \[ u_{tt}+u_t-\Delta u+u+f(u)=0 \] in a bounded domain $\Omega$ in $\mathbb{R}^3$ subject to an acoustic boundary condition with a singular perturbation, which we term "massless acoustic ...
Shomberg, Joseph L.
core  

Structural Changes in Nonlocal Denoising Models Arising Through Bi-Level Parameter Learning. [PDF]

Appl Math Optim, 2023
Davoli E, Ferreira R, Kreisbeck C, Schönberger H.   +3 more
europepmc   +1 more source

Existence and upper semicontinuity of global attractors for neural fields in an unbounded domain

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
doaj  

Private Information: Similarity as Compatibility [PDF]

We investigate the continuity of equilibrium in differential information economies with a finite number of agents. In this setting, agents can make contingent contracts based on events that are commonly observed.
Carlos Hervés-Beloso, João Correia-da-Silva   +1 more
core  

Upper semicontinuity of uniform attractors for singular perturbed second order nonautonomous delay lattice systems

Electronic Journal of Differential Equations
In this article, we consider the upper semicontinuity of the uniform attractors for the singular perturbed second order nonautonomous delay lattice systems driven by the almost periodic forces as the coefficient of second order derivative term tends to ...
Yao Zhou, Hongliang Liu
doaj  

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

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
doaj  

Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation

Abstract and Applied Analysis, 2005
We will study the lattice dynamical system of a nonlinear Boussinesq equation. Our objective is to explore the existence of the global attractor for the solution semiflow of the introduced lattice system and to investigate its upper semicontinuity with ...
Ahmed Y. Abdallah
doaj   +1 more source