Results 1 to 10 of about 456,013 (364)
Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equation
Arab Journal of Mathematical Sciences, 2015 We use the operatorial approach to obtain, in non-Archimedean spaces, the Hyers–Ulam stability of the Pexider K-quadratic functional equation∑k∈Kf(x+k·y)=κg(x)+κh(y),x,y∈E, where f,g,h:E→F are applications and K is a finite subgroup of the group of ...
A.B. Chahbi +3 more
doaj +3 more sources
Approximate mixed type quadratic-cubic functional equation
AIMS Mathematics, 2021 In this paper, we investigate the generalized Hyers-Ulam stability of the following mixed type quadratic-cubic functional equation \begin{align*} 2f(2x+y)+2f(2x-y) = 4f(x+y)+4f(x-y)+4f(2x)+f(2y)-8f(x)-8f(y) \end{align*} in non-Archimedean $(n ...
Zhihua Wang
doaj +2 more sources
Approximation on the Quadratic Reciprocal Functional Equation [PDF]
Journal of Function Spaces, 2014 The quadratic reciprocal functional equation is introduced. The Ulam stability problem for an ϵ-quadratic reciprocal mapping f:X→Y between nonzero real numbers is solved.
Abasalt Bodaghi, Sang Og Kim
doaj +3 more sources
Journal of Function Spaces, 2021 In this work, we have to introduce a generalized quadratic functional equation and derive its solution. The main objective of this work is to investigate the Hyers-Ulam stability of quadratic functional equation in non-Archimedean n,β-normed spaces.
Nazek Alessa +3 more
doaj +2 more sources
Stability of an additive-quadratic-quartic functional equation
Demonstratio Mathematica, 2020 In this paper, we investigate the stability of an additive-quadratic-quartic functional ...
Kim Gwang Hui, Lee Yang-Hi
doaj +4 more sources
Stability of a Quadratic Functional Equation
Advances in Dynamical Systems and Applications, 2021 This paper deals with the Ulam-Hyers stability of a quadratic functional equation using direct and fixed point methods in fuzzy normed space.
S. Jaikumar +4 more
openaire +2 more sources
Hyers-Ulam stability of an additive-quadratic functional equation
Cubo, 2020 In this paper, we introduce the following $(a,b,c)$-mixed type functional equation of the form \\$g(ax_1+bx_2+cx_3 )-g(-ax_1+bx_2+cx_3 )+g(ax_1-bx_2+cx_3 )-g(ax_1+bx_2-cx_3 ) +2a^2 [g(x_1 )+g(-x_1)]+2b^2 [g(x_2 )+g(-x_2)]+2c^2 [g(x_3 )+g(-x_3)]+a[g(x_1 )-
Vediyappan Govindan +3 more
doaj +2 more sources
Generalized Stability of Euler-Lagrange Quadratic Functional Equation [PDF]
Abstract and Applied Analysis, 2012 The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation f(ax+by)+af(x-by)=(a+1)b2f(y)+a(a+1)f(x), in (β,p)-Banach space ...
Hark-Mahn Kim, Min-Young Kim
doaj +3 more sources
Classification of generalized ternary quadratic quasigroup functional equations of the length three
Karpatsʹkì Matematičnì Publìkacìï, 2019 A functional equation is called: generalized if all functional variables are pairwise different; ternary if all its functional variables are ternary; quadratic if each individual variable has exactly two appearances; quasigroup if its solutions are ...
F.M. Sokhatsky, A.V. Tarasevych
doaj +3 more sources
Quadratic functional equations of Pexider type [PDF]
International Journal of Mathematics and Mathematical Sciences, 2000 First, the quadratic functional equation of Pexider type will be solved. By applying this result, we will also solve some functional equations of Pexider type which are closely associated with the quadratic equation.
Soon-Mo Jung
doaj +2 more sources