Results 21 to 30 of about 179 (144)
Superstability and Stability of the Pexiderized Multiplicative Functional Equation
Journal of Inequalities and Applications, 2010 We obtain the superstability of the Pexiderized multiplicative functional equation f(xy)=g(x)h(y) and investigate the stability of this equation in the following form: 1/(1+ψ(x,y))≤f(xy)/g(x)h(y)≤1+ψ(x,y).
Young Whan Lee
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On Asymptotic Behavior of a 2-Linear Functional Equation
Mathematics, 2022 In this paper, we deal with a 2-linear functional equation. The Hyers-Ulam stability of this functional equation is shown on some restricted unbounded domains, and the obtained results are applied to get several hyperstability consequences.
Jae-Hyeong Bae +3 more
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Nano Select, Volume 7, Issue 2, February 2026.Antibacterial micro/nanorobots (MNRs) represent a breakthrough in antibacterial therapy, making precise delivery of drugs to the infection site. This review systematically summarizes the material composition, actuation, and applications of MNRs in combating biofilms and drug‐resistant infections while emphasizing the existing challenges of ...
Yichao Chen +4 more
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Approximate Cubic ∗-Derivations on Banach ∗-Algebras
Abstract and Applied Analysis, 2012 We study the stability of cubic ∗-derivations on Banach ∗-algebras. We also prove the superstability of cubic ∗-derivations on a Banach ∗-algebra A, which is left approximately unital.
Seo Yoon Yang +2 more
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On the Design of Superstable Prestressed Frameworks
Frontiers in Materials, 2019 The strength and stiffness of prestressed lattices, and their mechanical behavior, depend strongly on the underlying graph and the nodal conformation geometry.
Scott D. Kelly +2 more
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Controllability of Fractional Control Systems With Deformable Dynamics in Finite‐Dimensional Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this work, we investigate the controllability of fractional control systems for deformable bodies in finite‐dimensional spaces. To achieve this, we employ a methodology based on the fractional exponential matrix associated with deformable bodies, the controllability Gramian matrix, and an iterative technique.
Boulkhairy Sy, Cheikh Seck, A. M. Nagy
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On Approximate Cubic Homomorphisms
Advances in Difference Equations, 2009 We investigate the generalized Hyers-Ulam-Rassias stability of the system of functional equations: f(xy)=f(x)f(y), f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y)+12f(x), on Banach algebras. Indeed we establish the superstability of this system by suitable
M. Eshaghi Gordji, M. Bavand Savadkouhi
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On the stability of the squares of some functional equations
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015 We consider the stability, the superstability and the inverse stability of the functional equations with squares of Cauchy’s, of Jensen’s and of isometry equations and the stability in Ulam-Hyers sense of the alternation of functional equations and of ...
Zenon Moszner
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On superstability of exponential functional equations
Journal of Inequalities and Applications, 2021 The aim of this paper is to prove the superstability of the following functional equations: f ( P ( x , y ) ) = g ( x ) h ( y ) , f ( x + y ) = g ( x ) h ( y ) . $$\begin{aligned}& f \bigl(P(x,y) \bigr)= g(x)h(y), \\& f(x+y)=g(x)h(y). \end{aligned}$$
Batool Noori +4 more
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Superstable Theories and Representation
Sarajevo Journal of Mathematics, 2022 In this paper we give an additional characterizations of the first order complete superstable theories, in terms of an external property called representation. In the sense of the representation property, the mentioned class of first-order theories can be regarded as "not very complicated".
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