GENERALIZED ULAM -HYERS STABILITY OF DERIVATIONS OF A AQ - FUNCTIONAL EQUATION [PDF]
Cubo (Temuco), 2013 Let \(X\) be a Banach algebra, let \(j \in \{+1, -1\}\) and let \(f: X \to X\) be an odd mapping fulfilling \[ \|f(x + y) + f(x - y) - 2f(x) - f(y) - f(-y)\| \leq \alpha(x,y), \;x,y \in X \] and \[ \|f(x y) - f(x)y - xf(y)\| \leq \beta(x, y), \;x, y \in X, \tag{1} \] where \(\alpha, \beta: X^{2} \to [0, \infty)\) are such that the series \[ \sum_{n = 0}
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Stability in the Sense of Hyers–Ulam–Rassias for the Impulsive Volterra Equation
Fractal and FractionalThis article aims to use various fixed-point techniques to study the stability issue of the impulsive Volterra integral equation in the sense of Ulam–Hyers (sometimes known as Hyers–Ulam) and Hyers–Ulam–Rassias.
El-sayed El-hady +3 more
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Elementary remarks on Ulam–Hyers stability of linear functional equations
Journal of Mathematical Analysis and Applications, 2007 The author proves the Hyers-Ulam stability of the family of linear functional equations of the form \[ \sum_{i=1}^s b_iF\big(\sum_{k=1}^m a_{ik}x_k\big)=0, \] where \(F: S \to X\), \(S\) is a vector space over a field \({\mathbb K}\) of characterisitic zero, \(X\) is a complex Banach space, \(b_1, \cdots, b_s\) are nonzero complex numbers with \(\sum_ ...
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HYERS-ULAM STABILITY OF A PERTURBED GENERALISED LIENARD EQUATION [PDF]
, 2019 Ilesanmi Fakunle, P. O. Arawomo
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Approximate solutions and Hyers–Ulam stability for a system of the coupled fractional thermostat control model via the generalized differential transform [PDF]
, 2021 Sina Etemad +4 more
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On a general Hyers‐Ulam stability result [PDF]
, 1995 Costanz Borelli, Gian Luigi Forti
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Existence and Hyers–Ulam Stability for a Multi-Term Fractional Differential Equation with Infinite Delay [PDF]
, 2022 Chen Chen, Qixiang Dong
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AIMS MathematicsIn this paper, we study the existence and uniqueness of solutions for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point Riemann-Liouville fractional integral boundary conditions via standard fixed point ...
Ugyen Samdrup Tshering +2 more
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A fixed point theorem and the Hyers-Ulam stability in Riesz spaces [PDF]
, 2013 Bogdan Batko, Janusz Brzdȩk
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Existence and Ulam-Hyers-Rassias stability of stochastic differential equations with random impulses
, 2021 Wenxuan Lang +3 more
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