Results 61 to 70 of about 106 (94)

© Hindawi Publishing Corp. NOTES ON STABILITY OF THE GENERALIZED GAMMA FUNCTIONAL EQUATION

, 2001
The Hyers-Ulam stability in three senses is discussed by Kim (2001) for the generalized gamma functional equation g(x+p) = a(x)g(x) under some conditions which involve convergence of complicated series.
Weinian Zhang, Bing Xu, Gwang Hui Kim
core  

On the sum form functional equation related to diversity index

Demonstratio Mathematica
The focal point of this article is to study a functional equation of sum form involving four unknown mappings. We primarily concentrate on exploring all possible solutions of the equation.
Singh Dhiraj Kumar, Grover Shveta
doaj   +1 more source

Approximation of additive functional equations in NA Lie C*-algebras

Demonstratio Mathematica, 2018
In this paper, by using fixed point method, we approximate a stable map of higher *-derivation in NA C*-algebras and of Lie higher *-derivations in NA Lie C*-algebras associated with the following additive functional ...
Wang Zhihua, Saadati Reza
doaj   +1 more source

© Hindawi Publishing Corp. LOCAL STABILITY OF THE ADDITIVE FUNCTIONAL EQUATION AND ITS APPLICATIONS

, 2001
The main purpose of this paper is to prove the Hyers-Ulam stability of the additive functional equation for a large class of unbounded domains. Furthermore, by using the theorem, we prove the stability of Jensen’s functional equation for a large class of
Byungbae Kim, Soon-mo Jung
core  

Zygfryd Kominek, a Mathematician, a Teacher, a Friend

Annales Mathematicae Silesianae, 2020
Sablik Maciej
doaj   +1 more source

On superstability of derivations in Banach algebras

Open Mathematics
In this article, we consider some types of derivations in Banach algebras. In detail, we investigate the question of whether the superstability can be achieved under some conditions for some types of derivations, such as Jordan derivations, generalized ...
Chang Ick-Soon, Kim Hark-Mahn, Roh Jaiok
doaj   +1 more source

On asymptotic behaviors of a specific cubic functional equation and its hyperstability

Demonstratio Mathematica
In this article, the asymptotic behavior and hyperstability of the cubic functional equation f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y)+12f(x) $$f\left(2x+y\right)+f\left(2x-y\right)=2f\left(x+y\right)+2f\left(x-y\right)+12f\left(x\right)$$ are discussed.
Bae Jae-Hyeong, Najati Abbas, Tareeghee Mohammad Amin   +2 more
doaj   +1 more source

Fixed point approaches to the stability of Jensen’s functional equation

Open Mathematics
We will investigate the stability problem of the Jensen’s functional equation using Brzdȩk fixed point theorem and fixed point alternative method on non-Archimedean fuzzy normed spaces.
Kang Dongseung, Koh Heejeong
doaj   +1 more source

Lipschitz stability of the K-quadratic functional equation

, 2018
Let N be the set of all positive integers, G an Abelian group with a metric d and E a normed space. For any f : G → E we define the k-quadratic difference of the function f by the formula Qk ƒ(x; y) := 2ƒ(x) + 2k2ƒ(y) - f(x + ky) - f(x - ky) for x; y ∈ G
Chahbi, Abdellatif, Kabbaj, Samir, EL-Fassi, Iz-iddine   +2 more
core  

On the Ulam-type stability of impulsive differential equations with multiple time delays

Arab Journal of Basic and Applied Sciences
In this article, we conduct a rigorous analysis of the Ulam-type stability of first-order impulsive delay differential equations (IP-D-D-Es) with multiple time-dependent delays.
Cemil Tunç, Osman Tunç
doaj   +1 more source