Results 81 to 90 of about 2,266,660 (160)

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

, 2008
In this paper, we prove the Hyers–Ulam–Rassias stability of homomorphisms in quasi-Banach algebras.
Park, Choonkil
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On the Stability of Nonautonomous Linear Impulsive Differential Equations

Journal 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

, 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, Arawomo, Peter Olutola   +1 more
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On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces

International 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]

, 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

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

, 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, Shin, Dong-Soo, Kim, Byung-Do   +2 more
core   +1 more source

Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type

Advances in Difference Equations, 2017
This article deals with some existence and Ulam-Hyers-Rassias stability results for a class of functional differential equations involving the Hilfer-Hadamard fractional derivative.
S Abbas, M Benchohra, JE Lagreg, A Alsaedi, Y Zhou   +4 more
doaj   +1 more source

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

, 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
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Existence and stability of mixed type Hilfer fractional differential equations with impulses and time delay

Results in Applied Mathematics
In this paper, we consider a class of mixed type Hilfer fractional differential equations with noninstantaneous impulses, nonlocal conditions and time delay.
Baoyan Han, Bo Zhu
doaj   +1 more source