Results 11 to 20 of about 137 (107)
Superstability of functional equations related to spherical functions
Open Mathematics, 2017 In this paper we prove stability-type theorems for functional equations related to spherical functions. Our proofs are based on superstability-type methods and on the method of invariant means.
Székelyhidi László
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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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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 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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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 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 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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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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