Results 101 to 110 of about 3,597,774 (226)

On a general Hyers-Ulam stability result [PDF]

, 1995
In this paper, we prove two general theorems about Hyers-Ulam stability of functional equations. As particular cases we obtain many of the results published in the last ten years on the stability of the Cauchy and quadratic ...
Gian Luigi Forti, Costanz Borelli
core   +1 more source

Existence and Ulam-Hyers stability results for a class of fractional integro-differential equations involving nonlocal fractional integro-differential boundary conditions

Boletim da Sociedade Paranaense de Matemática
In this paper, we investigate the existence and uniqueness of solutions for a class of fractional integro- differential boundary value problems involving both Riemann–Liouville and Caputo fractional derivatives, and supplemented with multi-point and ...
Faouzi Haddouchi
semanticscholar   +1 more source

Ulam–Hyers stability and exponentially dichotomic equations in Banach spaces

, 2023
For finite-dimensional linear differential systems with bounded coefficients, we prove that their exponential dichotomy on $\mathbb{R}$ is equivalent to their Ulam–Hyers stability on $\mathbb{R}$ with uniqueness. We also consider abstract non-autonomous
Buică, Adriana, Adriana Buică
core   +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

Generalised Ulam-Hyers Stability Analysis for System of Additive Functional Equation in Fuzzy and Random Normed Spaces: Direct and Fixed Point Approach

International Journal of Analysis and Applications
In this article, a new system of Functional Equations is proposed. The Ulam-Hyers stability of this class of equations is investigated using the product, sum, and mixed product-sum of powers of norms, as well as the general control function.
P. Agilan, K. Julietraja, Sarah Aljohani, Nabil Mlaiki   +3 more
semanticscholar   +1 more source

Mittag-leffler-hyers-ulam stability of prabhakar fractional integral equation

, 2021
In this paper, we define and investigate Mittag-Leffler-Hyers-Ulam and Mittag-Leffler-Hyers-Ulam-Rassias stability of Prabhakar fractional integral equation. © 2021, Semnan University, Center of Excellence in Nonlinear Analysis and Applications.
Eghbali, N., Moharramnia, A., Rassias, J.M.   +2 more
core  

Hyers-Ulam and Hyers-Ulam-Rassias stability for a class of integro-differential equations [PDF]

, 2018
We analyse different kinds of stabilities for a class of very general nonlinear integro-differential equations of Volterra type within appropriate metric spaces.
L. P. Castro, Castro, L. P., Simões, A. M., A. M. Simões   +3 more
core   +1 more source

Hyers-Ulam and Hyers-Ulam-Aoki-Rassias Stability for Linear Ordinary Differential Equations

, 2015
Here we prove the Hyers-Ulam stability and Hyers-Ulam-Aoki-Rassias stability of the n-th order ordinary linear differential equation with smooth coefficients on compact and semi-bounded intervals using successive integration by parts ...
Mohapatra, A. N.
core   +1 more source

Generalized Hyers–Ulam stability for general additive functional equations in quasi-β-normed spaces

, 2009
In 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved the well-known Ulam stability problem for additive mappings subject to the Hyers condition on approximately additive mappings.
Kim, Hark-Mahn, Rassias, John Michael
core   +2 more sources

An Application of Ulam-Hyers Stability in DC Motors

, 2014
In this paper, a generalization to nonlinear systems is proposed and applied to the motor dynamic, rotor model and stator model in DC motor equation.
Bodaghi, Abasalt, Pargali, Naser
core   +2 more sources