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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Weak upper semicontinuity of pullback attractors for nonautonomous reaction-diffusion equations [PDF]
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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Upper Semicontinuity of Attractors for a Non-Newtonian Fluid under Small Random Perturbations [PDF]
Abstract and Applied Analysis, 2014 This paper investigates the limiting behavior of attractors for a two-dimensional incompressible non-Newtonian fluid under small random perturbations. Under certain conditions, the upper semicontinuity of the attractors for diminishing perturbations is ...
Jianxin Luo
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Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise
Journal of Function Spaces, 2018 In this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained.
Xiaoyao Jia, Xiaoquan Ding
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Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains
Complexity, 2022 In this paper, we study the asymptotic behavior of solutions to the Kirchhoff type stochastic plate equation driven by additive noise defined on unbounded domains.
Xiaobin Yao, Zhang Zhang
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Dynamics of plate equations with time delay driven by additive noise in R n $\mathbb{R}^{n}$
Journal of Inequalities and Applications, 2023 This paper is concerned with the asymptotic behavior of solutions for plate equations with delay blurred by additive noise in R n $\mathbb{R}^{n}$ . First, we obtain the uniform compactness of pullback random attractors of the problem, then derive the ...
Xiaobin Yao
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Normal Hyperbolicity and Continuity of Global Attractors for a Nonlocal Evolution Equations
International Journal of Differential Equations, 2014 We show the normal hyperbolicity property for the equilibria of the evolution equation ∂m(r,t)/∂t=-m(r,t)+g(βJ*m(r,t)+βh), h,β≥0, and using the normal hyperbolicity property we prove the continuity (upper semicontinuity and lower semicontinuity) of the ...
Severino Horácio da Silva +2 more
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On separation axioms of uniform bundles and sheaves
Applied General Topology, 2004 In the context of the theory of uniform bundles in the sense of J. Dauns and K. H. Hofmann, the topology of the fiber space of a uniform bundle depends on the assumption of upper semicontinuity of its defining set of pseudometrics when composed with ...
Clara M. Neira U., Januario Varela
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Equilibrium Reward for Liquidity Providers in Automated Market Makers
Mathematical Finance, EarlyView.ABSTRACT We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader–follower stochastic game, where the venue is the leader and a representative LP is the follower.
Alif Aqsha +2 more
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Identifiability of points and rigidity of hypergraphs under algebraic constraints
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract The identifiability problem arises naturally in a number of contexts in mathematics and computer science. Specific instances include local or global rigidity of graphs and unique completability of partially‐filled tensors subject to rank conditions.
James Cruickshank +3 more
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