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Mathematical Notes of the Academy of Sciences of the USSR, 1977
It is proved that the following conditions are equivalent: the function ϕ [a, b]→R is absolutely upper semicontinuous (see [1]); ϕ is a function of bounded variation with decreasing singular part; there exists a summable function g: [a, b] → R such that for anyt′∈[a, b] andt″∈[t′, b], we have ϕ(t″)−ϕ(t′)⩽∫ t′ t″ g (s) ds.
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It is proved that the following conditions are equivalent: the function ϕ [a, b]→R is absolutely upper semicontinuous (see [1]); ϕ is a function of bounded variation with decreasing singular part; there exists a summable function g: [a, b] → R such that for anyt′∈[a, b] andt″∈[t′, b], we have ϕ(t″)−ϕ(t′)⩽∫ t′ t″ g (s) ds.
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Quasi‐stability and upper semicontinuity for coupled parabolic equations with memory
Studies in applied mathematics (Cambridge), 2020This current study deals with the long‐time dynamics of a nonlinear system of coupled parabolic equations with memory. The system describes the thermodiffusion phenomenon where the fluxes of mass diffusion and heat depend on the past history of the ...
M. Aouadi
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Upper semicontinuous utilities for all upper semicontinuous total preorders
Mathematical Social SciencesLet X be an arbitrary nonempty set. Then a topology t on X is said to be completely useful (or upper useful) if every upper semicontinuous total preorder ≾ on the topological space (X,t) can be represented by an upper semicontinuous real-valued order-preserving function (i.e., utility function).
Bosi G., Sbaiz G.
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Optimization Letters, 2020
The paper studies the solution stability of a parametric control problem governed by semilinear elliptic equations with a mixed state-control constraint, where the objective function is nonconvex and the admissible set is unbounded.
N. H. Son, T. Dao
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The paper studies the solution stability of a parametric control problem governed by semilinear elliptic equations with a mixed state-control constraint, where the objective function is nonconvex and the admissible set is unbounded.
N. H. Son, T. Dao
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Upper semicontinuous representations of interval orders
Mathematical Social Sciences, 2014Given an interval order on a topological space, we characterize its representability by means of a pair of upper semicontinuous real-valued functions. This characterization is only based on separability and continuity conditions related to both the interval order and one of its two traces.
BOSI, GIANNI, Zuanon M.
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Upper semicontinuity of joint spectra
2022This thesis was scanned from the print manuscript for digital preservation and is copyright the author. Researchers can access this thesis by asking their local university, institution or public library to make a request on their behalf. Monash staff and postgraduate students can use the link in the References field.
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Upper semicontinuity of parametric projections
Set-Valued Analysis, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Upper semicontinuity of attractors for the reaction diffusion equation
Communications in Nonlinear Science and Numerical Simulation, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boling Guo, Bixiang Wang
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Upper Semicontinuity of Pullback Attractors for Nonlinear Full Von Kármán Beam
Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, 2023M. Aouadi, Souad Guerine
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Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition
Applicable Analysis, 2019In this paper, we consider the following nonlocal autonomous evolution equation in a bounded domain Ω in : where , and are continuously differentiable function, and J is a symmetric kernel; that is, for any .
F. Bezerra +2 more
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