Results 71 to 80 of about 4,926 (172)

Generalized Ulam-Hyers Stability of Complex Additive Functional Equation

Journal of Physics: Conference Series, 2019
Abstract The object of the present paper is to assess speculation of the Hyers-Ulam stability theorem for the complex additive functional equation on abelian groups and stability results have been gotten by a fixed point technique. This technique demonstrates that the stability is identified with some fixed point of an appropriate ...
P. Agilan, V. Vallinayagam
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Stability of generalized Newton difference equations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In the paper we discuss a stability in the sense of the generalized Hyers-Ulam-Rassias for functional equations Δn(p, c)φ(x) = h(x), which is called generalized Newton difference equations, and give a sufficient condition of the generalized Hyers-Ulam ...
Wang Zhihua, Shi Yong-Guo
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On the Stability of Nonautonomous Linear Impulsive Differential Equations

Journal of Function Spaces and Applications, 2013
We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
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Ulam-Hyers stability of fractional impulsive differential equations

Journal of Nonlinear Sciences and Applications, 2018
Summary: In this paper, we first prove the existence and uniqueness for a fractional differential equation with time delay and finite impulses on a compact interval. Secondly, Ulam-Hyers stability of the equation is established by Picard operator and abstract Gronwall's inequality.
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Ulam-Hyers-Rassias stability for fuzzy fractional integral equations

, 2020
Summary: In this paper, we study the fuzzy Ulam-Hyers-Rassias stability for two kinds of fuzzy fractional integral equations by employing the fixed point technique.
Vu, H., Rassias, J.M., Van Hoa, N.
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Ulam-Hyers stability of tuberculosis and COVID-19 co-infection model under Atangana-Baleanu fractal-fractional operator. [PDF]

Sci Rep, 2023
Selvam A, Sabarinathan S, Senthil Kumar BV, Byeon H, Guedri K, Eldin SM, Khan MI, Govindan V.   +7 more
europepmc   +1 more source

Stability in the Sense of Hyers–Ulam–Rassias for the Impulsive Volterra Equation

Fractal and Fractional
This 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, Süleyman Öğrekçi, Tania A. Lazăr, Vasile L. Lazăr   +3 more
doaj   +1 more source

Fractional differential equations: Ulam-Hyers stabilities

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 2021
J. Vanterler da C. Sousa, E. Capelas de Oliveira   +1 more
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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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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_ ...
openaire   +1 more source