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Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations [PDF]
The Scientific World Journal, 2014 We will study the upper semicontinuity of pullback attractors for the 3D nonautonomouss Benjamin-Bona-Mahony equations with external force perturbation terms. Under some regular assumptions, we can prove the pullback attractors 𝒜ε(t) of equation ut-Δut-
Xinguang Yang +3 more
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Stieltjes Differential Inclusions with Periodic Boundary Conditions without Upper Semicontinuity [PDF]
Mathematics, 2021 We are studying first order differential inclusions with periodic boundary conditions where the Stieltjes derivative with respect to a left-continuous non-decreasing function replaces the classical derivative.
Valeria Marraffa, Bianca Satco
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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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Electronic Journal of Differential EquationsIn 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
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Weak upper semicontinuity of pullback attractors for nonautonomous reaction-diffusion equations
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We consider nonautonomous reaction-diffusion equations with variable exponents and large diffusion and we prove continuity of the flow and weak upper semicontinuity of a family of pullback attractors when the exponents go to $2$ in $L^\infty(\Omega)$.
Jacson Simsen
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Advances in Difference Equations, 2021 In this paper, we mainly investigate upper semicontinuity and regularity of attractors for nonclassical diffusion equations with perturbed parameters ν and the nonlinear term f satisfying the polynomial growth of arbitrary order p − 1 $p-1$ ( p ≥ 2 $p ...
Yongqin Xie, Jun Li, Kaixuan Zhu
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The stability of minimal solution sets for set optimization problems via improvement sets
Journal of Inequalities and Applications, 2023 In this paper we investigate the stability of solution sets for set optimization problems via improvement sets. Some sufficient conditions for the upper semicontinuity, lower semicontinuity, and compactness of E-minimal solution mappings are given for ...
Taiyong Li, Yanhui Wei
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Semicontinuity and closedness of parametric generalized lexicographic quasiequilibrium problems
Journal of Inequalities and Applications, 2016 This paper is mainly concerned with the upper semicontinuity, closedness, and the lower semicontinuity of the set-valued solution mapping for a parametric lexicographic equilibrium problem where both two constraint maps and the objective bifunction ...
Rabian Wangkeeree +2 more
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Characteristic cycles and Gevrey series solutions of $A$-hypergeometric systems [PDF]
, 2019 We compute the $L$-characteristic cycle of an $A$-hypergeometric system and higher Euler-Koszul homology modules of the toric ring. We also prove upper semicontinuity results about the multiplicities in these cycles and apply our results to analyze the ...
Berkesch, Christine +1 more
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Axioms, 2023 We state a characterization of the existence of equilibrium in terms of certain finite subsets under compactness and transfer upper semicontinuity conditions.
Maria Isabel Berenguer +3 more
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