Results 11 to 20 of about 4,116 (221)
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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Ulam Stability for the Composition of Operators [PDF]
Symmetry, 2020 Working in the setting of Banach spaces, we give a simpler proof of a result concerning the Ulam stability of the composition of operators. Several applications are provided. Then, we give an example of a discrete semigroup with Ulam unstable members and an example of Ulam stable operators on a Banach space, such that their sum is not Ulam stable ...
Ana Maria Acu, Ioan Rasa
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Practical Ulam-Hyers-Rassias stability for nonlinear equations [PDF]
Mathematica Bohemica, 2017 In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets.
Jin Rong Wang, Michal Fečkan
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Advances in Difference Equations, 2019 In this article, we investigate the existence and uniqueness of solutions for conformable derivatives in the Caputo setting with four-point integral conditions, applying standard fixed point theorems such as Banach contraction mapping principle ...
Aphirak Aphithana +2 more
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Ulam Stability for a Class of Hill’s Equations [PDF]
Symmetry, 2019 This paper deals with Ulam’s type stability for a class of Hill’s equations. In the two assertions of the main theorem, we obtain Ulam stability constants that are symmetrical to each other. By combining the obtained results, a necessary and sufficient condition for Ulam stability of a Hill’s equation is established.
Ryuma Fukutaka, Masakazu Onitsuka
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Hyers‐Ulam Stability of Power Series Equations [PDF]
Abstract and Applied Analysis, 2011 We prove the Hyers‐Ulam stability of power series equation , whereanforn= 0, 1, 2, 3, … can be real or complex.
Bidkham, M. +2 more
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Hyers–Ulam stability of Sahoo–Riedel’s point
Applied Mathematics Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
W. Lee, S. Xu, F. Ye
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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.
Mohammad Sal Moslehian
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The Hyers–Ulam stability of nonlinear recurrences
Journal of Mathematical Analysis and Applications, 2007 In the paper of \textit{D. Popa} [J. Math. Anal. Appl. 309, No. 2, 591--597 (2005; Zbl 1079.39027)] the Hyers-Ulam stability problem was proved for linear recurrences in a Banach space. In the paper under review, the authors investigate this problem for nonlinear recurrences in a metric space \((X, d)\). More precisely, they show that if \(\{x_n\}\), \(
Janusz Brzdęk, Dorian Popa
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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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