Results 101 to 110 of about 5,043 (195)

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

Hyers-Ulam Stability of Pompeiu's Point

Kyungpook mathematical journal, 2015
In this paper, we investigate the stability of Pompeiu's points in the sense of Hyers-Ulam.
Jinghao Huang, Yongjin Li
openaire   +2 more sources

Legendre's Differential Equation and Its Hyers-Ulam Stability [PDF]

Abstract and Applied Analysis, 2007
We solve the nonhomogeneous Legendre's differential equation and apply this result to obtaining a partial solution to the Hyers-Ulam stability problem for the Legendre's equation.
openaire   +4 more sources

Hyers-Ulam stability of Flett's points

Applied Mathematics Letters, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, M., Riedel, T., Sahoo, P.K.
openaire   +1 more source

Hyers–Ulam stability of linear functional differential equations

Journal of Mathematical Analysis and Applications, 2015
Dealing with delay differential equations of the form \[ y^{(n)}(t)=g(t)\,y(t-\tau)+h(t)\text{ \;on \;}[0,b] \] where \(\tau>0\), the notion of Hyers-Ulan stability is first introduced and then investigated via different methods. Popular approachs, such as, iteraction method and fixed point method, are used to obtain the stability results.
Jinghao Huang, Yongjin Li
openaire   +2 more sources

Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

Open Mathematics
In this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela, Ciplea Sorina Anamaria, Lungu Nicolaie   +2 more
doaj   +1 more source

$(L^p, L^q)$ Hyers-Ulam stability

We introduce a new concept of Hyers-Ulam stability, in which in the size of a pseudosolution of a given ordinary differential equation and its deviation from an exact solution are measured with respect to different norms. These norms are associated to $L^p$-spaces for $p\in [1, \infty]$.
Dragičević, Davor, Onitsuka, Masakazu
openaire   +3 more sources

On the Stability of a Cubic Functional Equation in Random Normed Spaces

Journal of Mathematical Extension, 2009
The concept of Hyers-Ulam-Rassias stability has been originated from a stability theorem due to Th. M. Rassias. Recently, the Hyers-Ulam-Rassias stability of the functional equation f(x + 2y) + f(x − 2y) = 2f(x) − f(2x) + 4n f(x + y) + f(x − y) o ,
H. Azadi Kenary
doaj  

On Hyers-Ulam Stability for Nonlinear Differential Equations of nth Order

International Journal of Analysis and Applications, 2013
This paper considers the stability of nonlinear differential equations of nth order in the sense of Hyers and Ulam. It also considers the Hyers-Ulam stability for superlinear Emden-Fowler differential equation of nth order. Some illustrative examples are
Maher Nazmi Qarawani
doaj   +2 more sources

On the qualitative behaviors of Volterra-Fredholm integro differential equations with multiple time-varying delays

Arab Journal of Basic and Applied Sciences
This article considers a Volterra-Fredholm integro-differential equation including multiple time-varying delays. The aim of this article is to study the uniqueness of solution, the Ulam–Hyers–Rassias stability and the Ulam–Hyers stability of the Volterra-
Cemil Tunç, Osman Tunç
doaj   +1 more source