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On the Boundedness of an Economy with Externalities
The Review of Economic Studies, 1973Establishing the boundedness property of the set of attainable states is an important step in proving the existence of competitive equilibria and/or Pareto optimality for an economy with, as well as without, externalities (cf. Arrow and Debreu [1], Arrow and Hahn [2], Debreu [4] and McKenzie [8], for example).
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BOUNDEDNESS OF WEYL QUANTIZATION
Chinese Annals of Mathematics, 1999The paper concerns different problems in the general theory of the Weyl quantization of a pseudodifferential symbol \(a(x,\eta)\): \[ a^w(x,D)u(x)= (2\pi)^{-n}\iint e^{i(x- y)\eta} a((x+ y)/2,\eta) u(y)dy d\eta. \] First, boundedness in function spaces is considered, when \(a(x,\eta)\in S^0_{\rho,\delta}(\mathbb{R}^n)\), \(0\leq \rho\), \(\delta\leq 1\)
Qi, Minyou, Chen, Wenyi
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The Boundedness for Commutators of Multipliers
Acta Mathematicae Applicatae Sinica, English Series, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Wen-Ming, Lu, Shan-Zhen, Mo, Hui-Xia
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Resource Boundedness and Argumentation
2012In this paper we extend the traditional Dung argumentation framework with cardinality constraints over the set of warranted arguments. This results in a new definition for argumentation semantics wherein arguments within an extension are both in some sense consistent and compliant with the constraints imposed on the system.
Nicolás D. Rotstein +2 more
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On Metric Boundedness Structures
Set-Valued Analysis, 1999In [J. Math. Pures Appl., IX. Sér. 28, 287-320 (1949; Zbl 0041.31602)] \textit{S.-T. Hu} characterized, given a metrizable space \(X\), those families \(\mathcal S\) of subsets of \(X\) for which a compatible metric \(d\) on \(X\) can be found such that \(\mathcal S\) consists of exactly the \(d\)-bounded subsets of \(X\) --- they are the proper ideals
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Comparison theorems on boundedness
Funkcialaj Ekvacioj, 1988The infinite delay equations: \(x'(t)=F(t,x(s);\alpha\leq s\leq t)\), \(t\geq t_*\), \(-\infty \leq \alpha \leq t_*\) as well as the finite delay equations: \(x'(t)=f(t,x_*),\) \(t\geq t_*\) are considered. By using the comparison principle the author establishes several theorems to ensure the uniform boundedness and uniformly ultimate boundedness of ...
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Global boundedness in a two-species predator–prey chemotaxis model
Applied Mathematics Letters, 2021He Yang, Shengmao Fu, Liangying Miao
exaly
Boundedness analysis of stochastic pantograph differential systems
Applied Mathematics Letters, 2021Liguang Xu, Hu Hongxiao
exaly