Results 91 to 100 of about 11,388 (241)
Attractors and global averaging of non-autonomous reaction-diffusion equations in R^n
, 2002 We consider a family of non-autonomous reaction-diffusion equations with almost periodic, rapidly oscillating principal part and nonlinear interactions.
Antoci, F., Prizzi, M.
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On the upper and lower semicontinuity of the Aumann integral [PDF]
Journal of Mathematical Economics, 1990 Abstract Let ( T ,τ,μ) be a finite measure space, X be a Banach space, P be a metric space and let L 1 (μ, X ) denote the space of equivalence classes of X -valued Bochner integrable functions on ( T ,τ,μ). We show that if φ: T × P →2 X is a set-valued function such that for each fixed p ϵ P , φ(·, p ) has a measurable graph and for each ...
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Communications on Pure and Applied Mathematics, Volume 78, Issue 3, Page 545-591, March 2025.Abstract While there are numerous results on minimizers or stable solutions of the Bernoulli problem proving regularity of the free boundary and analyzing singularities, much less is known about critical points of the corresponding energy. Saddle points of the energy (or of closely related energies) and solutions of the corresponding time‐dependent ...
Dennis Kriventsov, Georg S. Weiss
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Polyhedral Convexity and the Existence of Approximate Equilibria in Discontinuous Games [PDF]
Radzik (1991) showed that two-player games on compact intervals of the real line have " { equilibria for all " > 0, provided that payo® functions are upper semicontinuous and strongly quasi-concave.
Carmona, Guilherme
core
Upper semicontinuous fuzzy sets and applications
Journal of Mathematical Analysis and Applications, 1980 AbstractLet (X, τ) be a generalized topological space of type Vα (see A. Appert and K. Fan, “Espaces topologiques intermédiares,” Herman, Paris, 1951) and (L, ⩽) be a complete Brouwerian lattice such that the dual lattice of (L, ⩽) is also Brouwerian. We prove that every upper semicontinuous L-fuzzy subset of X can be represented by a τ-closed random ...
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Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality
Abstract and Applied Analysis, 2014 Under new assumptions, which do not contain any information about the solution set, the upper and lower semicontinuity of the solution mapping to a class of parametric generalized weak Ky Fan inequality are established by using a nonlinear scalarization ...
Y. D. Xu
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Existence and continuity of global attractors for a degenerate semilinear parabolic equation
Electronic Journal of Differential Equations, 2009 In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.
Cung The Anh, Tran Dinh Ke
doaj
Saddle point theorems on generalized convex spaces
Journal of Inequalities and Applications, 2000 A sharpened extension of Komiya's saddle point theorem is obtained for generalized convex spaces. Moreover, we show that convexity of the involved sets in his theorem can be replaced by acyclicity, and continuity of the involved functions by lower and ...
Park Sehie, Kim In-sook
doaj
Advances in Mathematical Physics, 2019 In this paper, the existence of random attractors for nonautonomous stochastic reversible Selkov system with multiplicative noise has been proved through Ornstein-Uhlenbeck transformation.
Chunxiao Guo, Yanfeng Guo, Xiaohan Li
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On the existence of efficient solutions to vector optimization problem of traffic flow on network
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2009 We studied traffic flow models in vector-valued optimization statement where the flow is controlled at the nodes of network. We considered the case when an objective mapping possesses a weakened property of upper semicontinuity and made no assumptions on
T. A. Bozhanova
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