Results 191 to 200 of about 4,116 (221)

Generalized Hyers–Ulam stability for general additive functional equations in quasi-β-normed spaces

Journal of Mathematical Analysis and Applications, 2009
In 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved the well-known Ulam stability problem for additive mappings subject to the Hyers condition on approximately additive mappings.
John Michael Rassias, Hark-Mahn Kim
exaly   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

Generalized Dichotomies and Hyers–Ulam Stability

Results in Mathematics, 2023
Consider \[ x^\prime=A(t)x+f(t,x),\,t\geq 0,\tag{1} \] where \(A:\mathbb{R}_+\to \mathbb{R}^{n\times n}\) and \(f:\mathbb{R}_+\times \mathbb{R}^n\to \mathbb{R}^n\) are continuous mappings. It is known that if the corresponding linear differential equation \(x^\prime=A(t)x\) has a uniform exponential dichotomy and \(f(t,x)\) is Lipschitz in \(x ...
openaire   +2 more sources

SOLUTION OF A STABILITY PROBLEM OF ULAM

1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On the Stability of Functional Equations and a Problem of Ulam

Acta Applicandae Mathematica, 2000
In 1940 S.~M.~Ulam posed the problem concerning the stability of homomorphisms. In 1941 D.~H.~Hyers gave the first significant partial solution: Let \(X,Y\) be Banach spaces and \(\delta>0\). If the function \(f:X\to Y\) satisfies the inequality \[ \bigl\|f(x+y)-f(x)-f(y)\bigr\|\leq\delta\tag{\(\ast\)} \] for all \(x,y\in X\), then there exists the ...
openaire   +2 more sources

Ulam–Hyers stability of fractional Langevin equations

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jin Rong Wang 0001, Xuezhu Li
openaire   +1 more source

On Ulam Stability in the Geometry of PDE’s

2003
The article is concerned with the problem of the unstability of flows corresponding to solutions of the Navier—Stokes equation in relation with the stability of a new functional equation (functional Navier—Stokes equation),that is stable as well as superstable in an extended Ulam sense.
Agostino Prástaro, Themistocles M. Rassias   +1 more
openaire   +1 more source

Ulam Stability Problem for Frames

2011
In this paper we give a solution to the Ulam stability problem for continuous Parseval frames in finite dimensional Hilbert spaces. We prove that if F is a nearly Parseval frame then there exists a Parseval frame near F. Also, we give generalizations of this result.
Laura Găvruţa, Paşc Găvruţa
openaire   +1 more source

Ulam stability in geometry of PDE's

2003
The concept of Hyers-Ulam-Rassias stability is applied to the Navier-Stokes equation. In the first part of the paper the geometric formulation of the Navier-Stokes equation as introduced by A.~Prástaro is recalled. The second part contains a~short account on the stability of functional equations.
PRASTARO, Agostino, RASSIAS T.H. M.
openaire   +2 more sources

Ulam–Hyers stability of a nonlinear fractional Volterra integro-differential equation

Applied Mathematics Letters, 2018
J Vanterler Da C Sousa, E Capelas De Oliveira   +1 more
exaly  

On the Ulam stability in geometry of PDE's

2003
The article is concerned with the problem of unstability of flows corresponding to solutions of the Navier-Stokes equation in relation with the stability of a new functional equation that is stable as well as superstable in an extended Ulam sense. In such a framework a natural characterization of global stable laminar flow is given also.
PRASTARO, Agostino, RASSIAS T.H. M.
openaire   +1 more source