Results 191 to 200 of about 2,398,627 (204)

A generalization of the Hyers--Ulam--Rassias stability of the beta functional equation

Publicationes Mathematicae Debrecen, 2001
A functional equation \(E[h]=0\) is Hyers-Ulam-Rassias(-Găvruta)-stable if, given a function \(\phi,\) there exists a function \(\Phi\) such that \(|E[f]|\leq\phi\) implies the existence of a unique \(g\) for which \(E[g]=0\) and \(|f-g|\leq\Phi\); cf. \textit{D. H. Hyers} [Proc. Nat. Acad. Sci. U.S.A. 27, 222-224 (1941; Zbl 0061.26403)], \textit{S. M.
openaire   +1 more source

Ulam–Hyers–Rassias Stability of Neutral Stochastic Functional Differential Equations

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

Hyers–Ulam–Rassias stability of a septic functional equation

Asian-European Journal of Mathematics
A new septic functional equation is considered in this paper and its general solution is obtained in a Banach space setting, and thus a general solution to the general septic functional equation is indirectly obtained in this paper. The Hyers–Ulam–Rassias stability results for the considered septic functional equation are also obtained using the direct
openaire   +1 more source

Ulam–Hyers–Rassias Stability for a Class of Fractional Integro-Differential Equations

Results in Mathematics, 2018
J Vanterler da C Sousa, Sousa J Vanterler da C, E Capelas de Oliveira   +2 more
exaly  

Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis

Springer Optimization and Its Applications, 2011
Soon-Mo Jung
exaly  

Stationary Hyers-Ulam-Rassias Stability for a Class of Nonlinear Volterra Integral Equations

Banach Journal of Mathematical Analysis, 2009
Luis P Castro, António Ramos
exaly  

Hyers-Ulam-Rassias Stability of Nonlinear Integral Equations Through the Bielecki Metric

Mathematical Methods in the Applied Sciences, 2018
Luis P Castro, Alberto Manuel Tavares Simões   +1 more
exaly  

HYERS-ULAM-RASSIAS TYPE STABILITY OF POLYNOMIAL EQUATIONS

2014
In this paper we introduce the concept of Hyers-Ulam-Rassias stability of polynomial equations and then we show that if x is an approximate solution of the equation anxn + an􀀀1xn􀀀1 + :::a1x + a0, then there exists an exact solution of the equation near to x.
openaire   +1 more source

On the Hyers–Ulam–Rassias Stability of an Additive Functional Equation in Quasi-Banach Spaces

Journal of Mathematical Analysis and Applications, 2008
G Zamani Eskandani
exaly  

On the Generalized Hyers–Ulam–Rassias Stability in Banach Modules Over a C∗-Algebra

Journal of Mathematical Analysis and Applications, 2004
Won-Gil Park
exaly