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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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Israel Journal of Mathematics, 2018 Israel Journal of Mathematics, 193 (1)
Burger, M., Ozawa, N., Thom, A.
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On a general Hyers‐Ulam stability result [PDF]
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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Continuous Dependence on the Initial Functions and Stability Properties in Hyers–Ulam–Rassias Sense for Neutral Fractional Systems with Distributed Delays [PDF]
Fractal and Fractional, 2023 We study several stability properties on a finite or infinite interval of inhomogeneous linear neutral fractional systems with distributed delays and Caputo-type derivatives.
Hristo Kiskinov +3 more
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Hyers–Ulam stability for quantum equations [PDF]
Aequationes mathematicae, 2020 We introduce and study the Hyers--Ulam stability (HUS) of a Cayley quantum ($q$-difference) equation of first order, where the constant coefficient is allowed to range over the complex numbers. In particular, if this coefficient is non-zero, then the quantum equation has Hyers--Ulam stability for certain values of the Cayley parameter, and we establish
Douglas R. Anderson, Masakazu Onitsuka
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On Generalized Hyers‐Ulam Stability of Admissible Functions [PDF]
Abstract and Applied Analysis, 2012 We consider the Hyers‐Ulam stability for the following fractional differential equations in sense of Srivastava‐Owa fractional operators (derivative and integral) defined in the unit disk: , in a complex Banach space. Furthermore, a generalization of the admissible functions in complex Banach spaces is imposed, and applications are illustrated.
Rabha W. Ibrahim
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Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation
Complexity, 2019 In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.
Nguyen Ngoc Phung, Bao Quoc Ta, Ho Vu
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Mittag-Leffler-Hyers-Ulam stability for a first- and second-order nonlinear differential equations using Fourier transform [PDF]
Demonstratio MathematicaIn this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam +2 more
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Ulam’s Type Stability 2013 [PDF]
Abstract and Applied Analysis, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Janusz Brzdęk +4 more
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On the stability of first order impulsive evolution equations [PDF]
Opuscula Mathematica, 2014 In this paper, concepts of Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for impulsive evolution equations are raised.
JinRong Wang, Michal Fečkan, Yong Zhou
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