Results 61 to 70 of about 1,839,360 (254)

Wong-Zakai approximations and long term behavior of second order non-autonomous stochastic lattice dynamical systems with additive noise

AIMS Mathematics, 2022
In this article, we investigate the Wong-Zakai approximations of a class of second order non-autonomous stochastic lattice systems with additive white noise.
Xintao Li
doaj   +1 more source

Iterative roots of upper semicontinuous multifunctions [PDF]

Advances in Difference Equations, 2017
Abstract The square iterative roots for strictly monotonic and upper semicontinuous functions with one set-valued point were fully described in (Li et al. in Publ. Math. (Debr.) 75:203-220, 2009). As a continuation, we study both strictly monotonic and nonmonotonic multifunctions.
Pingping Zhang, Li-Guo Huang
openaire   +3 more sources

Attractors for an Energy‐Damped Viscoelastic Plate Equation

Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13864-13881, 30 September 2025.
ABSTRACT In this paper, we consider a class of non‐autonomous beam/plate equations with an integro‐differential damping given by a possibly degenerate memory and an energy damping given by a nonlocal ε$$ \varepsilon $$‐perturbed coefficient. For each ε>0$$ \varepsilon >0 $$, we show that the dynamical system generated by the weak solutions of the ...
V. Narciso, M. J. D. Nascimento, M. L. Pelicer, I. A. S. Picolli   +3 more
wiley   +1 more source

Seminormality and upper semicontinuity in optimal control [PDF]

Journal of Optimization Theory and Applications, 1970
This paper concerns the concept of upper semicontinuity of variable sets, precisely the variant of Kuratowski's definition of upper semicontinuity that Cesari has denoted as property (Q). This concept has been used by Cesari in most of his papers on existence theorems for optimal solutions, and later used by Olech, Lasota and Olech, Brunovsky, Baum ...
openaire   +5 more sources

The porous medium equation: Large deviations and gradient flow with degenerate and unbounded diffusion

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1609-1655, September 2025.
Abstract The problem of deriving a gradient flow structure for the porous medium equation which is thermodynamic, in that it arises from the large deviations of some microscopic particle system is studied. To this end, a rescaled zero‐range process with jump rate g(k)=kα,α>1$g(k)=k^\alpha, \alpha >1$ is considered, and its hydrodynamic limit and ...
Benjamin Gess, Daniel Heydecker
wiley   +1 more source

Quasi-stability and continuity of attractors for nonlinear system of wave equations

Nonautonomous Dynamical Systems, 2021
In this paper, we study the long-time behavior of a nonlinear coupled system of wave equations with damping terms and subjected to small perturbations of autonomous external forces.
Freitas M. M., Dos Santos M. J., Ramos A. J. A., Vinhote M. S., Santos M. L.   +4 more
doaj   +1 more source

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1656-1702, September 2025.
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli, Marco Pozzetta, Daniele Semola   +2 more
wiley   +1 more source

Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations

Electronic Journal of Differential Equations, 2002
We study the problem of upper semicontinuity of compact global attractors of non-autonomous dynamical systems for small perturbations. For the general nonautonomous dynamical systems, we give the conditions of upper semicontinuity of attractors for small
David N. Cheban
doaj  

Continuity of the solutions sets for parametric set optimization problems

Journal of Inequalities and Applications
The current study focuses on exploring the stability of solution sets pertaining to set optimization problems, particularly with regard to the set order relation outlined by Karaman et al. 2018.
Manli Yang, Taiyong Li, Guanghui Xu
doaj   +1 more source

On the upper semicontinuity of the solution mapping for parametric vector mixed quasivariational inequality

, 2020
In this paper, we first study a class of parametric generalized vector mixed quasivariational inequality problem of the Minty type in locally convex Hausdorff topological vector spaces, this problem contains many problems as special cases, such as ...
P. Kieu, L. Dai, N. Hung
semanticscholar   +1 more source