Results 71 to 80 of about 722 (111)

Superstability of generalized cauchy functional equations

Advances in Difference Equations, 2011
In this paper, we consider the stability of generalized Cauchy functional equations such as Especially interesting is that such equations have the Hyers-Ulam stability or superstability whether g is identically one or not.
Chung Soon-Yeong, Lee Young-Su
doaj  

Hyers-ulam stability of exact second-order linear differential equations

, 2012
In this article, we prove the Hyers-Ulam stability of exact second-order linear differential equations. As a consequence, we show the Hyers-Ulam stability of the following equations: second-order linear differential equation with constant coefficients ...
M. Ghaemi, M. Gordji, B. Alizadeh, Choonkill Park   +3 more
semanticscholar   +1 more source

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
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Approximate multi-Cauchy mappings on certain groupoids

Open Mathematics
In this article, we give a representation of multi-Cauchy mappings on groupoids as an equation and then establish the (Hyers and Găvruţa) stability of such mappings on groupoids.
Park Choonkil, Bodaghi Abasalt, Donganont Mana   +2 more
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Inverse Ambiguous Functions and Automorphisms on Finite Groups

Annales Mathematicae Silesianae, 2019
If G is a finite group, then a bijective function f : G → G is inverse ambiguous if and only if f(x)−1 = f−1(x) for all x ∈ G. We give a precise description when a finite group admits an inverse ambiguous function and when a finite group admits an ...
Toborg Imke
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ON THE STABILITY OF TRIBONACCI AND $k$-TRIBONACCI FUNCTIONAL EQUATIONS IN MODULAR SPACE

, 2015
The purpose of this paper is to establish the Hyers-Ulam stability of the following Tribonacci and k-Tribonacci functional equations f(x) = f(x− 1) + f(x− 2) + f(x− 3), f(k, x) = kf(k, x− 1) + f(k, x− 2) + f(k, x− 3) in modular space.
R. Lather, Ashish, Manoj Kumar
semanticscholar   +1 more source

A Kannappan-Cosine Functional Equation on Semigroups

Annales Mathematicae Silesianae
In this paper we determine the complex-valued solutions of the Kannappan-cosine functional equation g(xyz0) = g(x)g(y) − f (x)f (y), x, y ∈ S, where S is a semigroup and z0 is a fixed element in S.
Jafar Ahmed, Ajebbar Omar, Elqorachi Elhoucien   +2 more
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Composition iterates, Cauchy, translation, and Sincov inclusions

Acta Universitatis Sapientiae: Mathematica, 2020
Improving and extending some ideas of Gottlob Frege from 1874 (on a generalization of the notion of the composition iterates of a function), we consider the composition iterates ϕn of a relation ϕ on X, defined by ϕ0=Δx,  ϕn=ϕ∘ϕn-1 if n∈𝕅,  and   ϕ∞=∪n=0∞
Fechner Włodzimierz, Száz Árpád
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Stability and hyperstability of a quadratic functional equation and a characterization of inner product spaces

Demonstratio Mathematica, 2018
We have proved theHyers-Ulam stability and the hyperstability of the quadratic functional equation f (x + y + z) + f (x + y − z) + f (x − y + z) + f (−x + y + z) = 4[f (x) + f (y) + f (z)] in the class of functions from an abelian group G into a Banach ...
Kim Gwang Hui, El-Fassi Iz-iddine, Park Choonkil   +2 more
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Intuitionistic fuzzy almost Cauchy–Jensen mappings

Demonstratio Mathematica, 2016
In this paper, we first investigate the Hyers–Ulam stability of the generalized Cauchy–Jensen functional equation of p-variable f(∑i=1paixi)=∑i=1paif(xi)$f\left(\sum\nolimits_{i = 1}^p {a_i x_i } \right) = \sum\nolimits_{i = 1}^p {a_i f(x_i )}$ in an ...
Gordji M. E., Abbaszadeh S.
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