Results 21 to 30 of about 1,022 (204)
On the E-Hyperstability of the Inhomogeneous σ-Jensen’s Functional Equation on Semigroups
Abstract and Applied Analysis, 2023 In this paper, we study the hyperstability problem for the well-known σ-Jensen’s functional equation fxy+fxσy=2fx for all x,y∈S, where S is a semigroup and σ is an involution of S. We present sufficient conditions on E⊂ℝ+S2 so that the inhomogeneous form
M. Sirouni, S. Kabbaj
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Boundary-Dependent Sleep-Wake Dysregulation in Idiopathic Hypersomnia. [PDF]
Ann Clin Transl NeurolABSTRACT Objective Idiopathic hypersomnia (IH) presents with excessive daytime sleepiness (EDS) despite apparently preserved nocturnal sleep, challenging traditional models of hypersomnolence based on sleep loss or fragmentation. We aimed to test the hypothesis that EDS in IH reflects excessive stabilization of the sleep state, consistent with ...
Mombelli S +13 more
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Patient-derived forebrain cortical organoids reveal biphasic tau-MAP6-microtubule axis dysfunction in tauopathy. [PDF]
Alzheimers DementAbstract INTRODUCTION In frontotemporal dementia (FTD), tau detaches from axonal microtubules and forms pathological aggregates. Rather than stabilizing microtubules, tau promotes labile microtubule domains, redefining its role in neurodegeneration and underscoring the need for human models that capture temporal disease progression.
Sun X +6 more
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On Bounded Strictly Positive Operators of Closed Range and Some Applications to Asymptotic Hyperstability of Dynamic Systems [PDF]
Abstract and Applied Analysis, 2013 The problem discussed is the stability of two input-output feedforward and feedback relations, under an integral-type constraint defining an admissible class of feedback controllers.
M. De la Sen
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Random stability and hyperstability of multi-quadratic mappings [PDF]
, 2022 In this paper, we introduce a new quadratic functional equation. In light of this equation, we define the multi-quadratic mappings and reduce the system of n equations defining the multi-quadratic mappings to a single equation.
Park, Choonkil +5 more
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Hyers–Ulam stability and hyperstability of a Jensen-type functional equation on 2-Banach spaces
Journal of Inequalities and Applications, 2022 The main aim of this paper is to establish the Hyers–Ulam stability and hyperstability of a Jensen-type quadratic mapping in 2-Banach spaces. That is, we prove the various types of Hyers–Ulam stability and hyperstability of the Jensen-type quadratic ...
Arumugam Ponmana Selvan, Abbas Najati
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Mathematics, 2022 This paper visualizes the role of hyperstable controllers in the closed-loop asymptotic stability of a single-input single-output system subject to any nonlinear and eventually time-varying controller within the hyperstable class.
Manuel De la Sen
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Chemistry & Biology, 1999 Collagen is the most abundant protein in animals. Each polypeptide chain of collagen is composed of repeats of the sequence: Gly-X-Y, where X and Y are often L-proline (Pro) and 4(R)-hydroxy-L-proline (Hyp) residues, respectively. These chains are wound into tight triple helices of great stability. The hydroxyl group of Hyp residues contributes much to
Holmgren, Steven K +3 more
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Stability of a generalization of the Fréchet functional equation
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015 We prove some stability and hyperstability results for a generalization of the well known Fréchet functional equation, stemming from one of the characterizations of the inner product spaces. As the main tool we use a fixed point theorem for the function
Renata Malejki
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, 2021 The aim of this paper is to introduce and solve the following p-radical functional equation related to Drygas mappings f is a mapping from R into a vector space X and p ≥ 3 is an odd natural number.
Kabbaj, Samir +2 more
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