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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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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.
Lucas Backes, Davor Dragičević
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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 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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Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations
Qualitative Theory of Dynamical Systems, 2021 We present several new sufficient conditions for Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear dynamic equations for functions defined on a time scale with values in a Banach space.
Maryam A. Alghamdi +3 more
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Hyers–Ulam stability of spherical functions [PDF]
Georgian Mathematical Journal, 2016 Abstract In [15] we obtained the Hyers–Ulam stability of the functional equation ∫ K
Bouikhalene, Belaid +1 more
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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 Euler’s equation
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cimpean, Dalia Sabina, Popa, Dorian
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Generalized Hyers–Ulam stability of ρ-functional inequalities
Journal of Inequalities and Applications, 2023 AbstractIn our research work generalized Hyers-Ulam stability of the following functional inequalities is analyzed by using fixed point approach: $$\begin{aligned}& \biggl\Vert f(2x+y)+f(2x-y)-2f(x+y)-2f(x-y)-12f(x) \\& \quad {}-\rho \biggl(4f\biggl(x+\frac{y}{2}\biggr)+4\biggl(f\biggl(x- \frac{y}{2}\biggr)-f(x+y)-f(x-y)\biggr)-6f(x),r\biggr) \
Nawaz, Sundas +3 more
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Hyers–Ulam stability and discrete dichotomy
Journal of Mathematical Analysis and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dorel Barbu +2 more
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