Results 121 to 130 of about 4,940 (143)

Hyers–Ulam stability of impulsive integral equations

Bollettino dell'Unione Matematica Italiana, 2018
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Zada, Akbar, Riaz, Usman, Khan, Farhan Ullah   +2 more
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A Gompertz Model With Conditional Hyers‐Ulam Stability

Mathematical Methods in the Applied Sciences
ABSTRACTWe consider the Hyers‐Ulam stability of a first‐order nonlinear differential equation based on the Gompertz model. The stability is conditionally established, based on the maximum size of the perturbation being sufficiently small and the initial condition being sufficiently large.
Douglas Anderson, Masumi Kondo, Masakazu Onitsuka   +2 more
openaire   +1 more source

On Hyers— Ulam Stability of Hosszú’s Functional Equation

Results in Mathematics, 1994
Let \(Hf(x, y):= f(x+ y- xy)+ f(xy)- f(x)- f(y)\). The following result on Hyers-Ulam stability of the Hosszú equation \(Hf(x, y)= 0\) is proved: Let \(f: \mathbb{R}\to \mathbb{R}\) be a function satisfying \(|Hf(x, y)|\leq \delta\) for some \(\delta> 0\). There exists an additive function \(a: \mathbb{R}\to \mathbb{R}\) such that the difference \(f- a\
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On Hyers--Ulam stability of Wilson's functional equation

Aequationes Mathematicae, 2000
The paper investigates the stability problem for spherical functions in the Hyers-Ulam sense. Let \((G,+)\) be a topological abelian group and let \(K\) be a compact subgroup of automorphisms of G with the normalized Haar measure \(\mu\). Further, let the map \[ k\mapsto ky\in G,\qquad k\in K , \] where \(ky\) stands for the action of \(k\in K\) on \(y\
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Hyers—Ulam stability of isometries on Banach spaces

Aequationes Mathematicae, 1999
The paper is a brief survey on the stability of isometries on real Banach spaces. An \(\varepsilon\)-isometry between two Banach spaces \(X,Y\) is a map \( f:X\to Y \) satisfying \( |\|f(x)-f(y)\|- \|x-y\||\leq \varepsilon, \forall x,y\in X.\) For an isometry \(U:X\to Y \) let dist\((f,U)=\inf\{\|f(x)-U(x)\|:x\in X\}.\) The paper is concerned with the ...
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Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations

Stochastics, 2022
Tomáš Caraballo, Lassaad Mchiri, Mohamed Rhaimá   +2 more
exaly  

Ulam–Hyers stability of a nonlinear fractional Volterra integro-differential equation

Applied Mathematics Letters, 2018
J Vanterler da C Sousa, EdmundO Capelas de Oliveira   +1 more
exaly  

The generalized Hyers–Ulam–Rassias stability of a cubic functional equation

Journal of Mathematical Analysis and Applications, 2002
Kil-Woung Jun, Hark-Mahn Kim
exaly  

A Generalization of the Hyers–Ulam–Rassias Stability of Jensen's Equation

Journal of Mathematical Analysis and Applications, 1999
Yang-Hi Lee, Kil-Woung Jun
exaly  

Hyers–Ulam stability of nonlinear differential equations with fractional integrable impulses

Mathematical Methods in the Applied Sciences, 2017
Akbar Zada, Wajid Ali
exaly