Results 131 to 140 of about 11,444 (271)

Hyers–Ulam stability of Sahoo–Riedel’s point

Applied Mathematics Letters, 2009
AbstractIn this paper, we construct a counter example to show that “Theorem” of Hyers–Ulam Stability of Flett’s Point in [M. Das, T. Riedel, P.K. Sahoo, Hyers-Ulam stability of Flett’s points, Applied Mathematics Letters. 16 (3) (2003), 269–271] is incorrect. At the same time, we give the correct theorem and generalize it.
F. Ye, S. Xu, W. Lee
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Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with p-Laplacian operator

, 2017
In this paper, we study the existence and uniqueness of solution (EUS) as well as Hyers-Ulam stability for a coupled system of FDEs in Caputo’s sense with nonlinear p-Laplacian operator. For this purpose, the suggested coupled system is transferred to an
H. Khan, Yongjin Li, Wen Chen, D. Baleanu, Aziz Khan   +4 more
semanticscholar   +1 more source

On the size of approximately convex sets in normed spaces

, 1999
Let X be a normed space. A subset A of X is approximately convex if $d(ta+(1-t)b,A) \le 1$ for all $a,b \in A$ and $t \in [0,1]$ where $d(x,A)$ is the distance of $x$ to $A$. Let $\Co(A)$ be the convex hull and $\diam(A)$ the diameter of $A$.
Dilworth, S. J., Howard, Ralph, Roberts, James W.   +2 more
core  

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
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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

Hyers-Ulam-Rassias stability of Jensen’s equation and its application [PDF]

, 1998
‎Soon-Mo Jung
openalex   +1 more source

On Hyers-Ulam stability for a class of functional equations

Aequationes Mathematicae, 1997
Several strong theorems concerning the stability of the general function equation \(g(F(x,y))= H(g(x),g(y),x,y)\) are proved. Equations in a single variable like \( g(x)= S(g(B(x)),x)\) or \(g(G(x))= J(g(x),x)\) or equations of the form \(g(F(x,y))= H(g(x),g(y))\) are also studied in detail from the point of view of stability.
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On the Hyers–Ulam stability of the linear differential equation

Journal of Mathematical Analysis and Applications, 2011
AbstractWe obtain some results on generalized Hyers–Ulam stability of the linear differential equation in a Banach space. As a consequence we improve some known estimates of the difference between the perturbed and the exact solutions.
Dorian Popa, Ioan Raşa
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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 Stability of Bessel Equations

, 2018
We analyse different kinds of stabilities for the Bessel equation and for the modified Bessel equation with initial conditions. Sufficient conditions are obtained in order to guarantee Hyers-Ulam-Rassias, $ $-semi-Hyers-Ulam and Hyers-Ulam stabilities for those equations. Those sufficient conditions are obtained based on the use of integral techniques
Castro, L. P., Simões, A. M.
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