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Uniform Boundedness by Averaging
Acta Mathematica Hungarica, 2001The authors study a system of functional-differential equations with infinite delay. By using Lyapunov functionals, conditions are given for uniform boundedness and uniform ultimate boundedness. The results are based on the method of finding a bound on the averaged values of the unknown solutions and the application of Jensen's inequality. A comparison
Burton, T. A., Zhang, B.
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Acta Mathematica Hungarica, 2000
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Hunsaker, W., Picado, J.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hunsaker, W., Picado, J.
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Boundedness of Hankel Matrices
Journal of the London Mathematical Society, 1984Let \((a_{i+j})_{i,j\geq 0}\) be a Hankel matrix with complex elements satisfying the condition \(\sum^{\infty}_{n=0}| a_ n ...
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2013
We develop a theory of name-bounded π-calculus processes, which have a bound on the number of restricted names that holds for all reachable processes. Name boundedness reflects resource constraints in practical reconfigurable systems, like available communication channels in networks and address space limitations in software.
Hüchting, R., Majumdar, R., Meyer, R.
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We develop a theory of name-bounded π-calculus processes, which have a bound on the number of restricted names that holds for all reachable processes. Name boundedness reflects resource constraints in practical reconfigurable systems, like available communication channels in networks and address space limitations in software.
Hüchting, R., Majumdar, R., Meyer, R.
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A boundedness lemma for iterations
Journal of Symbolic Logic, 2001The purpose of this paper is to present a kind of boundedness lemma for direct limits of coarse structural mice, and to indicate some applications to descriptive set theory. For instance, this allows us to show that under large cardinal or determinacy assumptions there is no prewellorder ≤ of length such that for some formula ψ and parameter zif and ...
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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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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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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, 2021Shengmao Fu, Liangying Miao
exaly

