Results 71 to 80 of about 11,444 (271)
Hyers-Ulam stability of elliptic M\"obius difference equation
, 2017 The linear fractional map $ f(z) = \frac{az+ b}{cz + d} $ on the Riemann sphere with complex coefficients $ ad-bc \neq 0 $ is called M\"obius map.
Nam, Young Woo
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ON HYERS-ULAM STABILITY OF THE PEXIDER EQUATION
Demonstratio Mathematica, 2004 The following result is proved. Theorem: Let \((S,+)\) be a commutative semigroup and let \(X\) be a~sequentially complete linear topological Hausdorff space. Assume that \(V\) is a sequentially closed, bounded, convex and symmetric with respect to zero subset of \(X\).
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Spectral characterizations for Hyers-Ulam stability
Electronic Journal of Qualitative Theory of Differential Equations, 2014 First we prove that an $n\times n$ complex linear system is Hyers-Ulam stable if and only if it is dichotomic (i.e. its associated matrix has no eigenvalues on the imaginary axis $i\mathbb{R}$). Also we show that the scalar differential equation of order $n,$ \[\begin{split} x^{(n)}(t)=a_1x^{(n-1)}(t)+\ldots+a_{n-1}{x}'(t)+a_nx(t),\quad t\in\mathbb{R}_+
Buse, C. +2 more
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Stability of Partial Differential Equations by Mahgoub Transform Method
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 The stability theory is an important research area in the qualitative analysis of partial differential equations. The Hyers-Ulam stability for a partial differential equation has a very close exact solution to the approximate solution of the differential
Harun Biçer
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Satbility of Ternary Homomorphisms via Generalized Jensen Equation
, 2005 In this paper, we establish the generalized Hyers--Ulam--Rassias stability of homomorphisms between ternary algebras associted to the generalized Jensen functional equation $r f(\frac{sx+ty}{r}) = s f(x) + t f(y)$.Comment: 12 ...
Moslehian, Mohammad Sal +1 more
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On the Hyers-Ulam Stability of ψ-Additive Mappings
Journal of Approximation Theory, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Themistocles M. Rassias, George Isac
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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
Elhoucien Eloqrachi, Belaid Bouikhalene
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Axioms, 2022 The authors have recently investigated a type of Hyers–Ulam stability of one-dimensional time-independent Schrödinger equation with a symmetric parabolic potential wall.
Byungbae Kim, Soon-Mo Jung
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Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11161-11170, 30 July 2025.ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
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Hyers–Ulam–Rassias Stability of an Equation of Davison
Journal of Mathematical Analysis and Applications, 1999 Let \(E_1\) be a normed algebra with a unit element, \(E_2\) be a Banach space and let \(f:E_1\rightarrow E_2\). In the paper the Hyers-Ulam-Rassias stability of the Davison functional equation \[ f(xy)+f(x+y)=f(xy+x)+f(y) \] is proved. As a consequence of the main theorem the authors obtain among others the following: Let \(\varepsilon\geq 0\) and \(p\
Prasanna K. Sahoo, Soon-Mo Jung
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