Results 1 to 10 of about 107,297 (248)
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 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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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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Hyers–Ulam stability for hyperbolic random dynamics [PDF]
Fundamenta Mathematicae, 2021 We prove that small nonlinear perturbations of random linear dynamics admitting a tempered exponential dichotomy have a random version of the shadowing property. As a consequence, if the exponential dichotomy is uniform, we get that the random linear dynamics is Hyers-Ulam stable.
Davor Dragičević, Lucas Backes
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Hyers‐Ulam Stability of Polynomial Equations [PDF]
Abstract and Applied Analysis, 2010 We prove the Hyers‐Ulam stability of the polynomial equation anxn + an−1xn−1 + ⋯+a1x + a0 = 0. We give an affirmative answer to a problem posed by Li and Hua (2009).
Bidkham, M. +2 more
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EXISTENCE AND ULAM STABILITY OF SOLUTIONS FOR NONLINEAR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING TWO FRACTIONAL ORDERS [PDF]
, 2022 In this paper, we study existence, uniqueness and Ulam-Hyers stability of solutions for integro-differential equations involving two fractional orders.
Houas, Mohamed, Saadi, Abdelkader
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Hyers--Ulam stability of a polynomial equation [PDF]
Banach Journal of Mathematical Analysis, 2009 The aim of this paper is to prove the stability in the sense of Hyers-Ulam stability of a polynomial equation. More precisely, if x is an approximate solution of the equation x n + x + = 0, then there exists an exact solution of the equation near to x.
Li, Yongjin, Hua, Liubin
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Fixed Points and Generalized Hyers‐Ulam Stability [PDF]
Abstract and Applied Analysis, 2012 In this paper we prove a fixed‐point theorem for a class of operators with suitable properties, in very general conditions. Also, we show that some recent fixed‐points results in Brzdęk et al., (2011) and Brzdęk and Ciepliński (2011) can be obtained directly from our theorem. Moreover, an affirmative answer to the open problem of Brzdęk and Ciepliński
Cădariu, L. +2 more
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Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations [PDF]
AIP Conference Proceedings, 2017 The purpose of this paper is to study different kinds of stability for a class of Hammerstein integral equations. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of Hammerstein integral equations.
Simões, A. M., Castro, L. P.
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Условия Hyers—Ulam—Rassias-устойчивости семейств уравнений [PDF]
, 2017 Для семейства регуляризованных уравнений и семейства уравнений с причинным оператором получены достаточные условия Hyers—Ulam—Rassias-устойчивости.Для сімейства регуляризованих рівнянь і сімейства рівнянь з причинним оператором отримано достатні умови ...
Мартынюк, А.А.
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