Results 71 to 80 of about 2,398,627 (204)

Hyers-Ulam-Rassias stability of a generalized Pexider functional equation

Banach Journal of Mathematical Analysis, 2007
In this interesting paper, the authors investigate the generalized Hyers-Ulam stability for a functional equation of Pexider type on groups.
Charifi, Ahmed, Bouikhalene, Belaid, Elqorachi, Elhoucien   +2 more
openaire   +3 more sources

ON THE HYERS-ULAM-RASSIAS STABILITY OF THE JENSEN EQUATION IN DISTRIBUTIONS [PDF]

Communications of the Korean Mathematical Society, 2011
We consider the Hyers-Ulam-Rassias stability problem 2u ◦ A 2 u ◦ P1 u ◦ P2 "(j xj p + j yj p ); x;y 2 R n for the Schwartz distributions u, which is a distributional version of the Hyers-Ulam-Rassias stability problem of the Jensen functional equation 2f ( x + y 2 ) f(x) f(y) "(j xj p + j yj p ); x;y 2 R n for the function f : R n ! C.
Eun-Gu Lee, Jae-Young Chung
openaire   +1 more source

Study on Approximate C∗‐Bimultiplier and JC∗‐Bimultiplier in C∗‐Ternary Algebra

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
An additive‐quadratic mapping F:A×A⟶B is one that adheres to the following equations: Fr+s,t=Fr,t+Fs,t,Fr,s+t+Fr,s−t=22Fr,s+Fr,t. This paper leverages the fixed‐point method to investigate C∗‐bimultiplier and JC∗‐bimultiplier approximations on C∗‐ternary algebras. The focus is on the additive‐quadratic functional equation: Fr+s,t+u+Fr+s,t−u=2222Fr,t+Fr,
Mina Mohammadi, Javad Shokri, Saeid Ostadbashi, Abdul Rauf Khan   +3 more
wiley   +1 more source

A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF A FUNCTIONAL EQUATION OF DAVISON

Journal of the Korean Mathematical Society, 2004
The functional equation \(f(xy)+f(x+y)=f(xy+x)+f(y)\) was introduced by \textit{T. M. K. Davison} [Problem 191R1. Aequationes Math. 20, 306 (1980)]. Its general solution was recently given by \textit{R. Girgensohn} and \textit{K. Lajkó} [ibid. 60, No.~3, 219--224 (2000; Zbl 0970.39017)].
Jun, Kil-Woung, Jung, Soon-Mo, Lee, Yang-Hi   +2 more
openaire   +3 more sources

On the Hyers-Ulam-Rassias stability of a pexiderized quadratic inequality [PDF]

Mathematical Inequalities & Applications, 2001
The authors examine the Hyers-Ulam-Rassias stability [see \textit{D. H. Hyers, G. Isac} and \textit{Th. M. Rassias}, Stability of Functional Equations in Several Variables, Birkhäuser, Boston (1998; Zbl 0907.39025); and \textit{Soon-Mo Jung}, Hyers-Ulam-Rassias stability of functional equations in Mathematical Analysis, Hadronic Press, Palm Harbor ...
Jun, Kil-Woung, Lee, Yang-Hi
openaire   +2 more sources

On Approximations of a System of Functional Equations Having Monomials

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
We use an s‐monomial to define the multimonomial mappings as a system of functional equations having monomials. The main contribution of the paper is twofold. First, we give a representation of such new multiple variable mappings as a unified equation, thereby providing a complete characterization.
Siriluk Donganont, Abasalt Bodaghi, Xuping Zhang   +2 more
wiley   +1 more source

Mittag-Leffler-Hyers-Ulam stability for a first- and second-order nonlinear differential equations using Fourier transform

Demonstratio Mathematica
In this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam, Sabarinathan Sriramulu, Selvan Arumugam Ponmana   +2 more
doaj   +1 more source

YERS–ULAM–RASSIAS STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS WITH A GENERALIZED ACTIONS ON THE RIGHT-HAND SIDE

Ural Mathematical Journal, 2023
The paper considers the Hyers–Ulam–Rassias stability for systems of nonlinear differential equations with a generalized action on the right-hand side, for example, containing impulses — delta functions.
Alexander N. Sesekin, Anna D. Kandrina
doaj   +1 more source

Hyers-Ulam-Rassias Stability for the Heat Equation

Applied Mathematics, 2013
In this paper we apply the Fourier transform to prove the Hyers-Ulam-Rassias stability for one dimensional heat equation on an infinite rod. Further, the paper investigates the stability of heat equation in with initial condition, in the sense of Hyers-Ulam-Rassias.
openaire   +2 more sources

Existence and Stability Theorems for Implicit Neutral Fractional Integrodifferential Equations With Computational Results

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper investigates a class of nonlinear implicit neutral integrodifferential equations involving Hilfer–Katugampola fractional operators, which provide an effective framework for describing dynamical systems with memory and hereditary properties. By converting the considered problem into an equivalent fractional integral equation, we show that the
Manal Elzain Mohamed Abdalla, Hasanen A. Hammad, Tarek Aboelenen, Mohammed S. Abdo   +3 more
wiley   +1 more source