Results 211 to 216 of about 2,495 (216)

Generalized Hyers–Ulam Stability of a Quadratic Functional Equation

2011
Let a be a fixed integer with a≠−1,0. We obtain the general solution and the generalized Hyers–Ulam stability theorem for a quadratic functional equation $$\begin{array}{rcl} f(ax + y) + af(x - y) = (a + 1)f(y) + a(a + 1)f(x).& & \\ \end{array}$$
Kil-Woung Jun, Hark-Mahn Kim, Jiae Son
openaire   +1 more source

Generalized Hyers–Ulam Stability of Cauchy–Jensen Functional Equations

2012
In this paper, we prove the generalized Hyers–Ulam stability of the following Cauchy–Jensen functional equation $$f(x)+f(y)+nf(z)=nf\biggl(\frac{x+y}{n}+z\biggr), $$ in an n-divisible abelian group G for any fixed positive integer n≥2.
Kil-Woung Jun, Hark-Mahn Kim, Eun Young Son   +2 more
openaire   +1 more source

Hyers–Ulam–Rassias Stability of the Generalized Wilson’s Functional Equation

2016
In this chapter, we apply the fixed point theorem and the direct method to the proof of Hyers–Ulam–Rassias stability property for generalized Wilson’s functional equation $$\displaystyle\begin{array}{rcl} \int _{K}\int _{G}f(xtk.y)dkd\mu (t) = f(x)g(y),\;x,y \in G,& & {}\\ \end{array}$$ where f, g are continuous complex valued functions on a ...
Elqorachi Elhoucien, Youssef Manar, Sammad Khalil   +2 more
openaire   +1 more source

A new method for the generalized Hyers-Ulam-Rassias stability

2010
We propose a new method, called the textit{the weighted space method}, for the study of the generalized Hyers-Ulam-Rassias stability. We use this method for a nonlinear functional equation, for Volterra and Fredholm integral operators.
Gavruta, P., Gavruta, L.
openaire   +1 more source

Generalized Hyers-Ulam Stability of a Cubic Reciprocal Functional Equation

British Journal of Mathematics & Computer Science, 2017
K Ravi, S Suresh
openaire   +1 more source

A generalized Richards growth model with conditional Hyers-Ulam stability

Nonlinear Analysis: Real World Applications
Douglas R. Anderson, Masakazu Onitsuka
openaire   +1 more source