Results 41 to 50 of about 976 (205)
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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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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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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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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Complexity, Volume 2026, Issue 1, 2026.This work examines a two‐dimensional discrete Leslie‐type predator–prey system in which the prey dynamics are subject to the Allee effect. The primary objective is to determine equilibrium states and examine bifurcation phenomena in the neighborhood of the positive fixed point, highlighting their ecological significance.
Md. Mutakabbir Khan +3 more
wiley +1 more source
The superstability of d’Alembert’s functional equation on the Heisenberg group [PDF]
, 2010 In this paper, we investigate the superstability of d’Alembert’s functional equation f(ab)+f(ai(b))=2f(a)f(b),a,b∈H, where H is the Heisenberg group and the map i:H⟶H is an automorphism of H such that i∘i=id (the identity map)
Bouikhalene, B. +2 more
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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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Stability and superstability of homomorphisms on C*-ternary algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this paper, we investigate the stability and superstability of homomorphisms on C*-ternary algebras associated with the functional ...
Gordji M. Eshaghi, Fazeli A.
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Journal of Mathematics, Volume 2026, Issue 1, 2026.To address the lack of dedicated tools for analyzing the stability of bivariate functional equations in fuzzy environments, this paper investigates fixed‐point theory and functional equation stability in fuzzy Banach spaces (FBSs). First, building on the Bag–Samanta fuzzy norm, we supplement and prove the “proposition on convergence preservation of ...
Gang Lyu +4 more
wiley +1 more source
Stability of the equation of homomorphism and completeness of the underlying space [PDF]
Opuscula Mathematica, 2008 We prove that all assumptions of a Theorem of Forti and Schwaiger (cf. [G. L. Forti, J. Schwaiger, Stability of homomorphisms and completeness, C. R. Math. Rep. Acad. Sci.
Zenon Moszner
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