Results 71 to 80 of about 2,266,660 (165)

Generalized approximation Hyers-Ulam-Rassias type stability of generalized homomorphisms in quasi-Banach algebras

open access: yes, 2022
In this paper, we study to solve the Hyers-Ulam-Rassias stability of generalized homomorphisms in quasi-Banach algebras, associated with Jensen-type additive functional equation with 2k-variables.
LY VAN AN
core   +1 more source

Ulam’s stability for some linear conformable fractional differential equations

open access: yesAdvances in Difference Equations, 2020
In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
doaj   +1 more source

Controllability of Fractional Control Systems With Deformable Dynamics in Finite‐Dimensional Spaces

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we investigate the controllability of fractional control systems for deformable bodies in finite‐dimensional spaces. To achieve this, we employ a methodology based on the fractional exponential matrix associated with deformable bodies, the controllability Gramian matrix, and an iterative technique.
Boulkhairy Sy, Cheikh Seck, A. M. Nagy
wiley   +1 more source

Hyers–Ulam–Rassias stability of homomorphisms in quasi-Banach algebras [PDF]

open access: yes, 2008
In this paper, we prove the Hyers–Ulam–Rassias stability of homomorphisms in quasi-Banach algebras.
Park, Choonkil
core   +1 more source

On the Stability of Nonautonomous Linear Impulsive Differential Equations

open access: yesJournal 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
doaj   +1 more source

Hyers-Ulam-Rassias stability of some perturbed nonlinear second order ordinary differential equations

open access: yes, 2023
In this paper we investigate the Hyers-Ulam-Rassias stability of a perturbed nonlinear second order ordinary differential equation using Gronwall-Bellman-Bihari type integral inequalities.
Fakunle, Ilesanmi   +1 more
core   +1 more source

On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces

open access: yesInternational Journal of Analysis and Applications, 2019
In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the bi-Cauchy-Jensen functional equation and the bi-additive-quadratic functional equation in paranormed spaces.
Prondanai Kaskasem, Chakkrid Klin-eam
doaj   +2 more sources

Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of integral equations on finite intervals [PDF]

open access: yes, 2017
The purpose of this work is to study different kinds of stability for a class of integral equations defined on a finite interval. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability by using fixed ...
Castro, L. P., Simões, A. M.
core  

The conditions of Hyers—Ulam—Rassias-stability of a set of equations

open access: yes, 2017
Для семейства регуляризованных уравнений и семейства уравнений с причинным оператором получены достаточные условия Hyers—Ulam—Rassias-устойчивости.Для сімейства регуляризованих рівнянь і сімейства рівнянь з причинним оператором отримано достатні умови ...
Мартынюк, А.А.
core   +1 more source

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