Results 101 to 110 of about 4,940 (143)

On the Hyers-Ulam Stability of ψ-Additive Mappings

Journal of Approximation Theory, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Isac, G., Rassias, T.M.
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Hyers--Ulam Stability of Mean Value Points

Annals of Functional Analysis, 2010
The authors consider a few problems concerning the stability for Lagrange's and Flett's mean value points. The first result reads as follows. Let \(f:\mathbb{R}\to\mathbb{R}\) be a continuously twice differentiable mapping and let \(\eta\in(a,b)\) be a unique Lagrange's mean value point of \(f\) in \((a,b)\) (i.e., \(f'(\eta)=\frac{f(b)-f(a)}{b-a ...
Găvruţă, Pasc, Jung, ‎Soon-Mo, Li, Yongjin   +2 more
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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

Fixed points of a mapping and Hyers–Ulam stability

Journal of Mathematical Analysis and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Badora, Roman, Brzdȩk, Janusz
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The properties of functional inclusions and Hyers–Ulam stability [PDF]

Aequationes mathematicae, 2012
Let \(Y\) be a normed space over \(\mathbb{K}\in\{\mathbb{R},\mathbb{C}\}\), let \(K\) be a set and let \(n(Y):=2^Y\setminus\{\emptyset\}\). Furthermore assume that \(F: K\to n(Y)\), \(\psi: Y\to Y\), \(a: K\to K\) are given functions and that \(\lambda\in(0,1)\).
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Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

Open Mathematics
In this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela, Ciplea Sorina Anamaria, Lungu Nicolaie   +2 more
doaj   +1 more source

On the Hyers-Ulam stability of delay differential equations

, 2022
Summary: In this paper, we consider the stability problem of delay differential equations in the sense of Hyers-Ulam and Hyers-Ulam-Rassias. By using a well known fixed point alternative on generalized complete metric spaces, we obtain some new stability criteria. Our results extend and improve the results described in literature since their proofs are
Ö?rekçi, Süleyman, Başcı, Yasemin, Mısır, Adil   +2 more
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On the Stability of a Cubic Functional Equation in Random Normed Spaces

Journal of Mathematical Extension, 2009
The concept of Hyers-Ulam-Rassias stability has been originated from a stability theorem due to Th. M. Rassias. Recently, the Hyers-Ulam-Rassias stability of the functional equation f(x + 2y) + f(x − 2y) = 2f(x) − f(2x) + 4n f(x + y) + f(x − y) o ,
H. Azadi Kenary
doaj  

On Hyers-Ulam Stability for Nonlinear Differential Equations of nth Order

International Journal of Analysis and Applications, 2013
This paper considers the stability of nonlinear differential equations of nth order in the sense of Hyers and Ulam. It also considers the Hyers-Ulam stability for superlinear Emden-Fowler differential equation of nth order. Some illustrative examples are
Maher Nazmi Qarawani
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Stability analysis and solutions of fractional boundary value problem on the cyclopentasilane graph

Heliyon
The study is being applied to a model involving silane and on cyclopentasilane graph. We consider a graph with labeled vertices by 0 or 1 inspired by the molecular structure of cyclopentasilane. In this paper, we first study the existence of solutions to
Guotao Wang, Hualei Yuan, Dumitru Baleanu   +2 more
doaj   +1 more source