Results 41 to 50 of about 1,545 (199)
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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Approximation of derivations and the superstability in random Banach ∗-algebras
Advances in Differential Equations, 2018 We prove that approximations of derivations on random Banach ∗-algebras are exactly derivations by using a fixed point method. Furthermore, we show that approximations of quadratic ∗-derivations on random Banach ∗-algebras are exactly quadratic ...
R. Saadati, Choonkill Park
semanticscholar +1 more source
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
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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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Superstability of differential equations with boundary conditions
Electronic Journal of Differential Equations, 2014 In this article, we establish the superstability of differential equations of second order with boundary conditions or with initial conditions as well as the superstability of differential equations of higher order with initial conditions.
Jinghao Huang +2 more
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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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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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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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