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Hyperstability and Superstability [PDF]
Abstract and Applied Analysis, 2013 Summary: This is a survey paper concerning the notions of hyperstability and superstability, which are connected to the issue of Ulam's type stability. We present the recent results on those subjects.
Janusz Brzdęk, Krzysztof Ciepliński
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Hyperstability of Some Functional Equations on Restricted Domain [PDF]
Journal of Function Spaces, 2017 The paper concerns functions which approximately satisfy, not necessarily on the whole linear space, a generalization of linear functional equation. A Hyers-Ulam stability result is proved and next applied to give conditions implying the hyperstability ...
Anna Bahyrycz, Jolanta Olko
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Analyzing hyperstable population models [PDF]
Demographic Research, 2023 OBJECTIVE: Few methods are available for analyzing populations with changing rates. Here hyperstable models are presented and substantially extended to facilitate such analyses. METHODS: Hyperstable models, where a known birth trajectory yields a consistent set of age-specific birth rates, are set out in both discrete and continuous form.
Robert Schoen
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On Hyperstability of the Cauchy Functional Equation in n-Banach Spaces [PDF]
Mathematics, 2020 We present some hyperstability results for the well-known additive Cauchy functional equation f(x+y)=f(x)+f(y) in n-normed spaces, which correspond to several analogous outcomes proved for some other spaces. The main tool is a recent fixed-point theorem.
Janusz Brzdęk, El-sayed El-hady
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Enhanced Vigilance Stability during Daytime in Insomnia Disorder [PDF]
Brain Sciences, 2020 Central nervous hyperarousal is as a key component of current pathophysiological concepts of chronic insomnia disorder. However, there are still open questions regarding its exact nature and the mechanisms linking hyperarousal to sleep disturbance. Here,
Ariane Losert +6 more
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Stability and Hyperstability of Ternary Hom-Multiplier on Ternary Banach Algebra
AxiomsIn this article, we investigate the 3D additive-type functional equation. Next, we introduce the ternary hom-multiplier in ternary Banach algebras using the concepts of ternary homomorphisms and ternary multipliers.
Vahid Keshavarz +2 more
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Hyperstability of the Drygas Functional Equation [PDF]
Journal of Function Spaces and Applications, 2013 We use the fixed point theorem for functional spaces to obtain the hyperstability result for the Drygas functional equation on a restricted domain. Namely, we show that a function satisfying the Drygas equation approximately must be exactly the solution ...
Magdalena Piszczek, Joanna Szczawińska
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Cogent Engineering, 2018 This paper considers the robust asymptotic closed-loop hyperstability of a nominal time-invariant plant with an associate strongly positive real transfer function subject to unstructured disturbances in the sate and output.
M. De la Sen
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Hyperstable alkenes: are they remarkably unreactive? [PDF]
Chem SciMaier and Schleyer first identified in silico that certain cage bicyclic olefins (alkenes) as “hyperstable”, and predicted them to be “remarkably unreactive”. However, this only applies to hydrogenation, as they were observed to undergo oxidation.
Summersgill MD +6 more
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Hyperstability of a functional equation [PDF]
Acta Mathematica Hungarica, 2009 9 ...
Eszter Gselmann
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