Results 101 to 110 of about 2,275,004 (213)

Hyers-Ulam Stability of Power Series Equations [PDF]

, 2011
We prove the Hyers-Ulam stability of power series equation ∑∞=0=0, where for =0,1,2,3,… can be real or ...
M. Eshaghi Gordji, M. Bidkham, H. A. Soleiman Mezerji   +2 more
core   +1 more source

Hyers- Ulam Rassias Stability of Exponential Primitive Mapping [PDF]

, 2013
The aim of this paper is to prove  the stability of  Exponential Primitive Mapping in sprit of  Hyers- Ulam- Rassias. Keywords .  Hyers- Ulam Rassias Stability, Exponential Primitive Mapping. AMS Subject Classification (1991).
Shrivastava, Kavita
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

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

Elementary remarks on Ulam–Hyers stability of linear functional equations

Journal of Mathematical Analysis and Applications, 2007
The author proves the Hyers-Ulam stability of the family of linear functional equations of the form \[ \sum_{i=1}^s b_iF\big(\sum_{k=1}^m a_{ik}x_k\big)=0, \] where \(F: S \to X\), \(S\) is a vector space over a field \({\mathbb K}\) of characterisitic zero, \(X\) is a complex Banach space, \(b_1, \cdots, b_s\) are nonzero complex numbers with \(\sum_ ...
openaire   +1 more source

On Hyers–Ulam and Hyers–Ulam–Rassias Stability of a Nonlinear Second-Order Dynamic Equation on Time Scales

, 2021
In this paper, we obtain sufficient conditions for Hyers–Ulam and Hyers–Ulam–Rassias stability of an abstract second–order nonlinear dynamic equation on bounded time scales.
Alaa E. Hamza, Maryam A. Alghamdi, Mymonah S. Alharbi   +2 more
core   +1 more source

Hyers- Ulam Rassias Stability of multiplicative Cauchy equation [PDF]

, 2015
The aim of this  paper is to prove  the stability of  multiplicative equation  in sprit of  Hyers- Ulam- Rassias. Keywords .  Hyers- Ulam Rassias Stability, multiplicative equation AMS Subject Classification (1991).
Shrivastava, Kavita
core   +1 more source

An Application of Ulam-Hyers Stability in DC Motors [PDF]

, 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   +1 more source

Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations

, 2017
The purpose of this paper is to study different kinds of stability for a class of Hammerstein integral equations. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of Hammerstein ...
L. P. Castro, Castro, L. P., Simões, A. M., A. M. Simões   +3 more
core   +1 more source

Hyers-Ulam stability of n th order linear differential equation

, 2019
In this paper, we investigate the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of the homogeneous linear differential equation of nth order with initial and boundary conditions by using Taylor’s Series ...
Murali, R., Selvan, A. Ponmana
core   +1 more source