[PDF] Top 20 stability of the quadratic functional equation

... Hyers-Ulam-Rassias stability originates from these historical back- ...other functional equations (see for example [4], [5], [6], [7], [10], [14], [17], [25] and the references ... See full document

... as quadratic functional ...Hyers-Ulam-Rassias stability of the quadratic functional equation ...orthogonal stability of the quadratic functional ... See full document

... In this paper the stability of quadratic functional equation, f(xy)+f(xy -1 )=2f(x)+2f(y) on class of groups is obtained and also prove that quadratic functional [r] ... See full document

... Hyers-Ulam stability to a number of functional equations and mappings see ...A quadratic functional equation is a functional equation of the following ... See full document

... Sikorska, Stability of the orthogonal additivity, ...the stability of the linear functional equation, ...Kannappan, Quadratic functional equation inner product spaces, ... See full document

... the quadratic functional ...the quadratic functional equation is said to be quadratic ...of stability theory of functional equations for the proof of new fixed ... See full document

... following quadratic functional equation: f xy z fx fy fz fx y fy z fz x in the spaces of generalized ...heat equation, we obtain the general solution and prove the Hyers-Ulam stability ... See full document

... Euler-Lagrange quadratic mapping ...its stability problem. The Euler-Lagrange quadratic mapping ...Euler-Lagrange quadratic equations mappings which is now known as Euler-Lagrange-Rassias ... See full document

... Hyers-Ulam stability of the quadratic functional ...The stability problems of several functional equations have been extensively investigated by a number of authors and there are many ... See full document

... of functional equations is as ...a functional equation must be close to an exact solution of the equation?” The first stability problem concerning group homomorphisms was raised by Ulam ... See full document

... Hyers-Ulam stability problem for the quadratic functional equa- tion was proved by Skof [] for mappings f : X → Y , where X is a normed space and Y is a Banach ...Hyers-Ulam stability of the ... See full document

... In this paper, we will apply the fixed point method to prove the Hyers-Ulam-Rassias stability of the functional equation 1.2 for a large class of functions from a vector space into a complete ... See full document

... each equation is called a quadratic functional ...A stability problem for the quadratic functional equation was proved by Skof 15 for a function f : V →X, where V is a ... See full document

... a quadratic functional ...the quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional ... See full document

... a quadratic functional ...the quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional ... See full document

... orthogonal stability of the Cauchy functional equation f(x + y) = f(x) + f(y), namely, they showed that if f is a mapping from an orthogonality space X into a real Banach space Y and ||f(x + y) - ... See full document

... for a fixed integer a with a ≠ 0, ± 1. In [13], one can find the fact that Equation (1.1) implies Equation 1.5. Recently, Xu, Rassias and Xu [14] investigated the stability pro- blem for ... See full document

... The stability problem of functional equations originated from a question of Ulam 1 concerning the stability of group homomorphisms. Hyers 2 gave a first affirmative partial answer to the question of ... See full document

... Hyers-Ulam stability of functional equations ...Cauchy equation was proved by Brzdek [4]. The functional equation f(x + y) + f(x − y) = 2f(x) + 2f(y) is called the quadratic ... See full document

... a quadratic mapping. Skof [] solved the Hyers-Ulam stability problem of the quadratic functional equation in Banach ...the stability of the Euler-Lagrange quadratic ... See full document