A New Approach to Hyers‐Ulam Stability of r‐Variable Quadratic Functional Equations

V Govindan, P Hammachukiattikul… - Journal of Function …, 2021 - Wiley Online Library
In this paper, we investigate the general solution of a new quadratic functional equation of
the form∑ 1≤ i< j< k≤ r ϕ li+ lj+ lk= r− 2∑ i= 1, i≠ jr ϕ li+ lj+− r 2+ 32 r−/2∑ i= 1 r ϕ li. We …

[PDF][PDF] The general solution of a quadratic functional equation and Ulam stability

Y Lan, Y Shen - J. Nonlinear Sci. Appl, 2015 - kurims.kyoto-u.ac.jp
In this paper, we investigate the general solution of a new quadratic functional equation. We
prove that a function admits, in appropriate conditions, a unique quadratic map** …

[PDF][PDF] On the general solution of a quadratic functional equation and its Ulam stability in various abstract spaces

Y Shen, Y Lan - J. Nonlinear Sci. Appl, 2014 - kurims.kyoto-u.ac.jp
On the general solution of a quadratic functional equation and its Ulam stability in various
abstract spaces Page 1 On the general solution of a quadratic functional equation and its Ulam …

[PDF][PDF] On the Ulam stability of an n-dimensional quadratic functional equation

Y Shen, W Chen - J. Nonlinear Sci. Appl, 2016 - kurims.kyoto-u.ac.jp
On the Ulam stability of an n-dimensional quadratic functional equation Page 1 Available
online at www.tjnsa.com J. Nonlinear Sci. Appl. 9 (2016), 332–341 Research Article On the …

Stabilities and Instabilities of Rational Functional Equations and Euler–Lagrange–Jensen ‐Sextic Functional Equations

JM Rassias, K Ravi… - … Analysis and Applications …, 2018 - Wiley Online Library
This chapter presents a comprehensive study of the classical topic of functional equations. It
introduces a new Euler‐Lagrange‐Jensen (a, b; k= a+ b)‐sextic functional equation. The …

[PDF][PDF] A survey on the stability of mean value points and functional equations involving some special functions

S DUMITRESCU, M MONEA, C MORTICI - creative-mathematics.cunbm.utcluj …
The aim of this work is to put together some of the recent and classical results in the theory of
stability. In the first part, we recall the results regarding the intermediary points arising from …

[CITATION][C] Generalized Hyers-Ulam stability of a mixed type additive-quadratic functional equation in non-Archimedean fields

K Ravi, JM Rassias, S Sabarinathan - British J. Math. Comp. Sci, 2016