Results 1 to 10 of about 472 (159)
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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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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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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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 THE GENERAL LINEAR FUNCTIONAL EQUATION
Bulletin of the Korean Mathematical Society, 2015 For two normed spaces \(X,Y\), \(f: X\to Y\) and given scalars \(a,b,A,B\), by the general linear functional equation the author means \[ f(ax+by)=Af(x)+Bf(y),\qquad x,y\in X.\tag{1} \] Its approximate solutions are defined by \[ \|f(ax+by)-Af(x)-Bf(y)\|\leq\varphi(x,y),\qquad x,y\in X\tag{2} \] with some control mapping \(\varphi\).
Magdalena Piszczek, Piszczek Magdalena
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Hyperstability of Cauchy–Jensen functional equations
Indagationes Mathematicae, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Iz-Iddine El-Fassi +2 more
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Some hyperstability and stability results for the Cauchy and Jensen equations
Journal of Inequalities and Applications, 2022 In this paper we give some hyperstability and stability results for the Cauchy and Jensen functional equations on restricted domains. We provide a simple and short proof for Brzdȩk’s result concerning a hyperstability result for the Cauchy equation.
Mohammad Bagher Moghimi, Abbas Najati
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Stability of an additive-quadratic-quartic functional equation
Demonstratio Mathematica, 2020 In this paper, we investigate the stability of an additive-quadratic-quartic functional ...
Kim Gwang Hui, Lee Yang-Hi
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Representation and Stability of General Nonic Functional Equation
Mathematics, 2023 In this paper, we introduce a way of representing a given mapping as the sum of odd and even mappings. Then, using this representation, we investigate the stability of various forms of the following general nonic functional equation: ∑i=01010Ci(−1)10−if ...
Ick-Soon Chang, Yang-Hi Lee, Jaiok Roh
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Computation, 2023 This paper investigates the asymptotic hyperstability of a single-input–single-output closed-loop system whose controlled plant is time-invariant and possesses a strongly strictly positive real transfer function that is subject to internal and external ...
Manuel De la Sen
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