Results 31 to 40 of about 60 (59)

Stability of an AQCQ functional equation in non-Archimedean (n, β)-normed spaces

Demonstratio Mathematica, 2019
In this paper, we adopt direct method to prove the Hyers-Ulam-Rassias stability of an additivequadratic-cubic-quartic functional ...
Liu Yachai, Yang Xiuzhong, Liu Guofen
doaj   +1 more source

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  

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

Stability of an additive-quadratic functional equation in modular spaces

Open Mathematics
Using the direct method, we prove the Hyers-Ulam-Rassias stability of the following functional equation: ϕ(x+y,z+w)+ϕ(x−y,z−w)−2ϕ(x,z)−2ϕ(x,w)=0\phi \left(x+y,z+w)+\phi \left(x-y,z-w)-2\phi \left(x,z)-2\phi \left(x,w)=0 in ρ\rho -complete convex modular ...
Baza Abderrahman, Rossafi Mohamed, Park Choonkil, Donganont Mana   +3 more
doaj   +1 more source

On the stability of a Cauchy type functional equation

Demonstratio Mathematica, 2018
In this work, the Hyers-Ulam type stability and the hyperstability of the functional equationare proved.
Lee Jung Rye, Najati Abbas, Park Choonkil, Rassias Themistocles M.   +3 more
doaj   +1 more source

The stability of high ring homomorphisms and derivations on fuzzy Banach algebras

Open Mathematics
In this article, we focus on exploring the fuzzy version of the Hyers-Ulam-Rassias stability of nn-ring homomorphisms and nn-ring derivations in the context of fuzzy Banach algebras. Our investigation utilizes the direct method.
Chen Lin, Luo Xiaolin
doaj   +1 more source

Stability of Functional Equations and Properties of Groups

Annales Mathematicae Silesianae, 2019
Investigating Hyers–Ulam stability of the additive Cauchy equation with domain in a group G, in order to obtain an additive function approximating the given almost additive one we need some properties of G, starting from commutativity to others more ...
Forti Gian Luigi
doaj   +1 more source

Hyers-Ulam stability of Davison functional equation on restricted domains

Demonstratio Mathematica
In this article, we study the Hyers-Ulam stability of Davison functional equation f(xy)+f(x+y)=f(xy+x)+f(y)f\left(xy)+f\left(x+y)=f\left(xy+x)+f(y) on some unbounded restricted domains.
Park Choonkil, Tareeghee Mohammad Amin, Najati Abbas, Noori Batool   +3 more
doaj   +1 more source

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
doaj   +1 more source

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.
doaj   +1 more source