Results 71 to 80 of about 12,144 (227)
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 ApplicationsThe 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
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Structure of hyperbolic polynomial automorphisms of C2${\mathbb {C}^2}$ with disconnected Julia sets
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract For a hyperbolic polynomial automorphism of C2$\mathbb {C}^2$ with a disconnected Julia set, and under a mild dissipativity condition, we give a topological description of the components of the Julia set. Namely, there are finitely many “quasi‐solenoids” that govern the asymptotic behavior of the orbits of all nontrivial components.
Romain Dujardin, Mikhail Lyubich
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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. +4 more
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Cone Lattices of Upper Semicontinuous Functions [PDF]
Proceedings of the American Mathematical Society, 1982 Let X X be a compact metric space. A well-known theorem of M. H. Stone states that if Ω \Omega is a vector lattice of continuous functions on X X that separates points and contains a nonzero constant function, then the uniform closure of Ω \Omega is C ...
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Adversarial coordination and public information design
Theoretical Economics, Volume 20, Issue 2, Page 763-813, May 2025.We study flexible public information design in global games. In addition to receiving public information from the designer, agents are endowed with exogenous private information and must decide between two actions (invest and not invest), the profitability of which depends on unknown fundamentals and the agents' aggregate action.
Nicolas Inostroza, Alessandro Pavan
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Upper Semicontinuous Decompositions of the n-Sphere [PDF]
Proceedings of the American Mathematical Society, 1962 We consider conditions under which an upper semicontinuous decomposition has the decomposition space which is a topological nsphere. A special emphasis is placed on the case in which the decomposition has only a countable number of nondegenerate elements.
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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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Augmented Total Variation Regularization in Radon‐Type Inverse Problems
Studies in Applied Mathematics, Volume 154, Issue 4, April 2025.ABSTRACT We introduce the augmented total variation (TV$TV$) regularization method for Radon‐type inverse problems. Our novel approach incorporates a dual variable into the regularization process, thereby extending and essentially augmenting traditional TV$TV$ regularization techniques.
Nicholas E. Protonotarios +3 more
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Study of ODE limit problems for reaction-diffusion equations [PDF]
Opuscula Mathematica, 2018 In this work we study ODE limit problems for reaction-diffusion equations for large diffusion and we study the sensitivity of nonlinear ODEs with respect to initial conditions and exponent parameters.
Jacson Simsen +2 more
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