Results 61 to 70 of about 547 (94)

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

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 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

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

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 a quadratic type functional equation on locally compact abelian groups

Acta Universitatis Sapientiae: Mathematica, 2018
Let (G,+) be a locally compact abelian Hausdorff group, 𝓀 is a finite automorphism group of G, κ = card𝒦 and let µ be a regular compactly supported complex-valued Borel measure on G such that μ(G)=1κ$\mu ({\rm{G}}) = {1 \over \kappa }$.
Dimou Hajira, Aribou Youssef, Chahbi Abdellatif, Kabbaj Samir   +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

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

An AQCQ-functional equation in paranormed spaces

, 2012
In this article, we prove the Hyers-Ulam stability of an additive-quadratic-cubic-quartic functional equation in paranormed spaces.Mathematics Subject Classification (2010): Primary 39B82; 39B52; 39B72; 46A99.
Choonkill Park, Jung Rye Lee
semanticscholar   +1 more source

Orthogonal stability of mixed type additive-cubic functional equations in multi-Banach spaces

Demonstratio Mathematica, 2018
In this paper, we establish the Hyers-Ulam orthogonal stability of the mixed type additive-cubic functional equation in multi-Banach spaces.
Murali Ramdoss, Pinelas Sandra, Raj Aruldass Antony   +2 more
doaj   +1 more source