Results 31 to 40 of about 5,043 (195)
Hyers-Ulam stability of exact second-order linear differential equations [PDF]
, 2012 In this article, we prove the Hyers-Ulam stability of exact second-order linear differential equations. As a consequence, we show the Hyers-Ulam stability of the following equations: second-order linear differential equation with constant coefficients ...
Badrkhan Alizadeh +3 more
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A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation
Nonlinear Engineering, 2021 An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Kaabar Mohammed K. A. +5 more
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Hyers-Ulam-Rassias stability of generalized module left (m,n)-derivations [PDF]
, 2013 The generalized Hyers-Ulam-Rassias stability of generalized module left ▫$(m,n)$▫-derivations on a normed algebra ▫$mathcal{A}$▫ into a Banach left ▫$mathcal{A}$▫-module is established.V članku je obravnavana Hyers-Ulam-Rassias stabilnost posplošenih ...
Fošner, Ajda
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Ulam-Hyers stability of a parabolic partial differential equation
Demonstratio Mathematica, 2019 The goal of this paper is to give an Ulam-Hyers stability result for a parabolic partial differential equation. Here we present two types of Ulam stability: Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability.
Marian Daniela +2 more
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Hyers--Ulam Stability of Mean Value Points
Annals of Functional Analysis, 2010 The authors consider a few problems concerning the stability for Lagrange's and Flett's mean value points. The first result reads as follows. Let \(f:\mathbb{R}\to\mathbb{R}\) be a continuously twice differentiable mapping and let \(\eta\in(a,b)\) be a unique Lagrange's mean value point of \(f\) in \((a,b)\) (i.e., \(f'(\eta)=\frac{f(b)-f(a)}{b-a ...
Găvruţă, Pasc +2 more
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Advances in Difference Equations, 2017 In this paper, we investigate four different types of Ulam stability, i.e., Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of nonlinear implicit fractional ...
Akbar Zada, Sartaj Ali, Yongjin Li
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Hyers--Ulam stability of a polynomial equation
Banach Journal of Mathematical Analysis, 2009 The authors prove a Hyers-Ulam type stability result for the polynomial equation \(x^n + \alpha x + \beta = 0\). In particular, using Banach's contraction mapping theorem, they prove the following result: If \( |\alpha | > n\), \(|\beta | < |\alpha|-1\) and \(y \in [-1, 1]\) satisfies the inequality \[ |y^n + \alpha y + \beta | \leq \varepsilon \] for ...
Li, Yongjin, Hua, Liubin
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Hyers–Ulam stability with respect to gauges
Journal of Mathematical Analysis and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brzdęk, Janusz +2 more
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On a general Hyers‐Ulam stability result
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper, we prove two general theorems about Hyers‐Ulam stability of functional equations. As particular cases we obtain many of the results published in the last ten years on the stability of the Cauchy and quadratic equation.
Costanz Borelli, Gian Luigi Forti
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Hyers–Ulam stability of derivations and linear functions [PDF]
Aequationes mathematicae, 2010 9 pages; published in Aequationes Mathematicae in ...
Boros, Zoltán, Gselmann, Eszter
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