Abstract In this paper, we study the local uniformly upper semicontinuity of pullback attractors for a strongly damped wave equation. particular, under some proper assumptions, prove that attractor $\{A_{\varepsilon }(t)\}_{t\in \mathbb{R}}$ { A ? <mml:m...

&lt;p style='text-indent:20px;'&gt;In this paper we study asymptotic behavior of a class stochastic plate equations with memory and additive noise. First introduce continuous cocycle for the equation establish pullback compactness solutions. Second consider existence upper semicontinuity random attractors equation.&lt;/p&gt;

We introduce several new kinds of inferior and superior limits and corresponding kinds of semicontinuity of a set-valued map. Together with the known concepts of semicontinuity, they can be used to have a clearer insight of local behaviors of maps. Then we investigate all major semicontinuity properties of solution maps to a general quasivariational inclusion. Consequences are derived for sever...

Abstract In this paper, we mainly investigate upper semicontinuity and regularity of attractors for nonclassical diffusion equations with perturbed parameters ? the nonlinear term f satisfying polynomial growth arbitrary order $p-1$ p ? 1 ( $p \geq 2$ ? <mml:...

Abstract We introduce an upper semicontinuity condition concerning a not necessarily total preorder on topological space, namely strong , and in this way we extend to the nontotal case famous Rader’s theorem, which guarantees existence of semicontinuous order-preserving function for second countable space. show that theorem is generalizable if adopt weaker conditions already introduced literatu...