Results 61 to 70 of about 103 (93)

© 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  

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

Lattictic non-archimedean random stability of ACQ functional equation

Advances in Difference Equations, 2011
In this paper, we prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation 1 1 f ( x + 2 y ) + 1 1 f ( x - 2 y ) = 4 4 f ( x + y ) + 4 4 f ( x - y ) + 1 2 f ( 3 y ) - 4 8 f ( 2 ...
Saadati Reza, Cho Yeol
doaj  

Non-Archimedean stabilities of multiplicative inverse µ-functional inequalities

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This study is motivated through the interesting non-Arcchimedean stability results of ρ-inequalities and ρ-equations arising from linear, second power, third power and fourth power mappings.
Dutta Hemen, Senthil Kumar B. V., Suresh S.   +2 more
doaj   +1 more source

A general theorem on the stability of a class of functional equations including quadratic-additive functional equations. [PDF]

Springerplus, 2016
Lee YH, Jung SM.
europepmc   +1 more source