In this paper we study the long-time dynamics for non-autonomous extensible non-symmetric two-beams. The governing equations describe equilibria of an elastically-coupled two-beams system subject to damping terms and evenly compressive axial loads. Under quite general assumptions on nonlinear sources based semigroups theory monotone operators, establish existence uniqueness weak strong solution...

Abstract: The concepts of upper and lower semicontinuity in pointfree topology were introduced and first studied by Li and Wang in 1997. However Li and Wang’s treatment does not faithfully reflect the original classical notion. In this note, we present algebraic descriptions of upper and lower semicontinuous real functions, in terms of frame homomorphisms, that suggest the right alternative to ...

Let (T,r,p) be a finite measure space, X be a Banach space, P be a metric space and let L,(y,X) denote the space of equivalence classes of X-valued Bochner integrable functions on (T, T, p). We show that if $I: T x P-2x is a set-valued function such that for each fixed p E P, 4(. , p) has a measurable graph and for each fixed TV T, 4(t;) is either upper or lower semicontinuous then the Aumann i...

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 A(ε)(t) of equation, u(t)-Δu(t)-νΔu+∇·(-->)F(u)=εg(x,t), x ∈ Ω, converge to the global attractor A of the above-mentioned equation with ε = 0 for any t ∈ R.

This paper is concerned with upper semicontinuity of the family random attractors associated non-autonomous stochastic parabolic problems dominated by $ p $-Laplacian operator on thin domains in which domain collapses onto lower dimensional domain. The existence and uniqueness for equations are strictly proved an (n+1) $-dimensional domain, these established when n