Results 101 to 110 of about 2,159,027 (204)

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

On Hyers–Ulam–Rassias Stability of the Pexider Equation [PDF]

open access: yes, 1999
In this paper, using the idea of P. Găvruta (1994, J. Math. Anal. Appl.184, 431–436), we prove a generalization of the stability of approximately additive mappings in the spirits of Hyers, Ulam, and ...
Jun, Kil-Woung   +2 more
core   +1 more source

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  

Laplace Transform and Semi-Hyers–Ulam–Rassias Stability of Some Delay Differential Equations

open access: yes, 2021
In this paper, we study semi-Hyers–Ulam–Rassias stability and generalized semi-Hyers–Ulam–Rassias stability of differential equations x′t+xt−1=ft and x″t+x′t−1=ft,xt=0ift≤0, using the Laplace ...
Daniela Marian
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

β–Hyers–Ulam–Rassias Stability of Semilinear Nonautonomous Impulsive System

open access: yes, 2019
In this paper, we study a system governed by impulsive semilinear nonautonomous differential equations. We present the β –Ulam stability, β –Hyers–Ulam stability and β –Hyers–Ulam–Rassias ...
Muhammad Arif, Xiaoming Wang, Akbar Zada
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

Solvability and Ulam–Hyers–Rassias stability for generalized sequential quantum fractional pantograph equations

open access: yesPartial Differential Equations in Applied Mathematics
In the present manuscript, we discuss the existence, uniqueness an Ulam-stability of solutions for sequential fractional pantograph equations involving n Caputo and one Riemann–Liouville q−fractional derivatives. We prove the uniqueness of solutions for the given problem by using Banach’s contraction mapping principle.
Mohamed Houas, Mohammad Esmael Samei
openaire   +3 more sources

Hyers-Ulam-Rassias Stability for Abel-Riccati Type First-Order Differential Equations

open access: yes, 2019
This paper examines Hyers-Ulam (HU), Hyers-Ulam-Rassias (HUR) and HyersUlam-Rassias-Gavruta (HURG) stability of the first-order differential equation including Bernoulli's, Riccati and Abel with given initial ...
Mısır, Adil   +8 more
core   +1 more source

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