Results 11 to 20 of about 6,753 (236)
Hyers-Ulam-Rassias Stability of Generalized Derivations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 The generalized Hyers--Ulam--Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.Comment: 9 pages, minor changes, to appear in Internat. J. Math.
Moslehian, Mohammad Sal
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On Hyers-Ulam-Rassias stability of fractional differential equations with Caputo derivative
, 2020 In this article, we study the stability problem of some fractional differential equations in the sense of Hyers-Ulam and Hyers-Ulam-Rassias based on some fixed point techniques.
El‐sayed El‐hady +1 more
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On the Generalized Hyers-Ulam-Rassias Stability of Quadratic Functional Equations [PDF]
Abstract and Applied Analysis, 2009 We achieve the general solution and the generalized Hyers-Ulam-Rassias and Ulam-Gavruta-Rassias stabilities for quadratic functional equations where are nonzero fixed integers with , and for fixed integers with and .
M. Gordji, H. Khodaei
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Fixed Point Theory and Applications, 2007 We prove the Hyers-Ulam-Rassias stability of homomorphisms in real Banach algebras and of generalized derivations on real Banach algebras for the following Cauchy-Jensen functional equations: , , which were introduced and investigated by Baak (2006 ...
Park Choonkil
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Hyers-Ulam-Rassias Stability of a General Septic Functional Equation
Journal of Advances in Mathematics and Computer Science, 2022 In this paper, we investigate the stability of the following general septic functional equation: \(\sum_{i=0}^8{ }_8 C_i(-1)^{8-i} f(x+(i-4) y)=0\)which is a generalization of many ...
S. Jin, Yang-Hi Lee
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Hyers-Ulam-Rassias and Ulam-Gavruta-Rassias Stabilities of an Additive Functional Equation in Several Variables [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 It is well known that the concept of Hyers-Ulam-Rassias stability was originated by Th. M. Rassias (1978) and the concept of Ulam-Gavruta-Rassias stability was originated by J. M. Rassias (1982–1989) and by P. Găvruta (1999).
Paisan Nakmahachalasint
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HYERS-ULAM-RASSIAS STABILITY OF FRACTIONAL DIFFERENTIAL EQUATION [PDF]
International Journal of Pure and Apllied Mathematics, 2015 In this paper, we proved Hyers-Ulam and Hyers-Ulam-Rassias sta- bility for the following fractional differential eqaution wih boundary condition Dy(t) = F(t,y(t)), ay(0) + by(T) = c.
P. Muniyappan, S. Rajan
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A Generalization of the Hyers–Ulam–Rassias Stability of Jensen's Equation☆
Journal of Mathematical Analysis and Applications, 1999 The following generalization of the stability of the Jensen's equation in the spirit of Hyers-Ulam-Rassias is proved: Let \(V\) be a normed space, \(X\) -- a Banach space, \(pa\). For the case \(p>1\) a corresponding result is obtained.
Yang-Hi Lee, K. Jun
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The generalized Hyers–Ulam–Rassias stability of a cubic functional equation☆
Journal of Mathematical Analysis and Applications, 2002 The authors consider the functional equation \[ f(2x+y) +f(2x-y)=2f(x+y)+ 2f(x-y)+12f(x). \] They determine the general solution, which is of the form \(f(x)= B(x,x,x)\) where \(B\) is symmetric and additive in each variable. Moreover they investigate the stability properties of this equation.
K. Jun, Hark-Mahn Kim
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Hyers-Ulam-Rassias Stability for the Heat Equation
Applied Mathematics, 2013 In this paper we apply the Fourier transform to prove the Hyers-Ulam-Rassias stability for one dimensional heat equation on an infinite rod. Further, the paper investigates the stability of heat equation in with initial condition, in the sense of Hyers-Ulam-Rassias.
Maher Nazmi Qarawani
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