Results 51 to 60 of about 462 (161)

Characterization and stability analysis of advanced multi-quadratic functional equations

open access: yesAdvances in Difference Equations, 2021
In this paper, we introduce a new quadratic functional equation and, motivated by this equation, we investigate n-variables mappings which are quadratic in each variable.
Abasalt Bodaghi   +2 more
doaj   +1 more source

On the E-Hyperstability of the Inhomogeneous σ-Jensen’s Functional Equation on Semigroups

open access: yesAbstract 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
doaj   +1 more source

Polo‐Like Kinase 1 Phosphorylation Tunes the Functional Viscoelastic Properties of the Centrosome Scaffold

open access: yesAdvanced Science, Volume 12, Issue 45, December 4, 2025.
To enable mitotic spindle assembly during cell division, centrosomes must bear tensile stresses generated by microtubule‐mediated pulling forces. Micro‐rheology reveals that PLK‐1 phosphorylation of the scaffold protein SPD‐5 tunes the viscoelasticity, size, and morphology of the centrosome scaffold in C. elegans.
Matthew Amato   +5 more
wiley   +1 more source

The hyperstability of AQ-Jensen functional equation on 2-divisible abelian group and inner product spaces

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2015
In this paper, we prove the hyperstability of the following mixed additive-quadratic-Jensen functional equation 2f(x+y2)+f(x−y2)+f(y−x2)=f(x)+f(y)$$2f({{x + y} \over 2}) + f({{x - y} \over 2}) + f({{y - x} \over 2}) = f(x) + f(y)$$ in the class of ...
EL-Fassi Iz-iddine, Kabbaj Samir
doaj   +1 more source

Equivalence for Various Forms of Quadratic Functional Equations and Their Generalized Hyers–Ulam–Rassias Stability

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2023
In this manuscript, we study the properties and equivalence results for different forms of quadratic functional equations. Using the Brzdȩk and Ciepliński fixed-point approach, we investigate the generalized Hyers–Ulam–Rassias stability for the 3 ...
Ravinder Kumar Sharma, Sumit Chandok
doaj   +1 more source

Mechanical Signaling: Molecular Mechanisms, Biological Functions, Diseases, and Therapeutic Targets

open access: yesMedComm, Volume 6, Issue 12, December 2025.
In this review, we summarize cell–ECM interactions and delve into the complex mechanotransduction. We introduce advanced research methods and emerging clinical tools used to study cellular mechanical phenotypes, mechanotransduction, and disease progression. Additionally, we analyze the role of mechanical biomarkers in the development and progression of
Yicen Long   +5 more
wiley   +1 more source

Consolidate Overview of Ribonucleic Acid Molecular Dynamics: From Molecular Movements to Material Innovations

open access: yesAdvanced Engineering Materials, Volume 27, Issue 22, November 2025.
Molecular dynamics simulations are advancing the study of ribonucleic acid (RNA) and RNA‐conjugated molecules. These developments include improvements in force fields, long‐timescale dynamics, and coarse‐grained models, addressing limitations and refining methods.
Kanchan Yadav, Iksoo Jang, Jong Bum Lee
wiley   +1 more source

Buttressing ligand‐binding pockets in de novo designed NTF2‐like domains

open access: yesProtein Science, Volume 34, Issue 11, November 2025.
Abstract NTF2‐like proteins are compact α + β fold domains with cone‐shaped architectures and internal pockets, making them attractive scaffolds for the de novo design of small‐molecule binders and enzymes. However, creating ligand‐binding pockets often compromises folding stability, posing a key challenge in de novo protein design.
Marta Nadal   +6 more
wiley   +1 more source

On Some Recent Developments in Ulam's Type Stability

open access: yesAbstract and Applied Analysis, 2012
We present a survey of some selected recent developments (results and methods) in the theory of Ulam's type stability. In particular we provide some information on hyperstability and the fixed point methods.
Nicole Brillouët-Belluot   +2 more
doaj   +1 more source

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