Sentence examples for the stability of the functional from inspiring English sources

and they have obtained the stability of the functional equations (2.2) and (2.3).

In this section, we aim to prove the stability of the functional equation (1).

Now we consider the stability of the functional equation (1.3) using fixed point method.

On the stability of the functional equation, Ulam was the first beginner.

In this section, we investigate the stability of the functional Equation 1.1 using the alternative of fixed point.

Coming to the proof of the stability of the functional E, after proving Theorem 6.14 one would like to argue as we did in Sect.

Recently, Baktash et al. (2008) proved the stability of the cubic functional equation and the quartic functional equation in random normed spaces.

In this paper, by using the idea of Găvruţa [5], we prove the stability of the Jensen functional equation and the Pexiderized Cauchy functional equation: (1.6).

In the study of Hyers-Ulam stability problems of monomial functional equations, we have followed out a routine and monotonous procedure for proving the stability of the monomial functional equations under various conditions.

Recently, the stability of the cubic functional equation in fuzzy normed spaces was proved in earlier work; and the stability of the additive functional equations in random normed spaces was proved as well.

J. M. Rassias [15] and Czerwik [16], proved the stability of the quadratic functional equation (1.10).