The superstability of d’Alembert’s functional equation on step 2 nilpotent groups

Hyers–Ulam stability of spherical functions

“…It involves an interesting generalization of the class of bounded function on a group or semigroup. For other superstability results, we can see for example [17], [12], [23], [31], [32] and [48].…”

On the stability of the generalized mixed trigonometric functional equations

“…(iii) ℎ is unbounded and ( , ℎ) satis es the equation Then either (or ) is bounded or the pair ( , ) satis es is abelian, is a step 2 nilpotent group, is a Heisenberg group, is any group to Theorems 2.3, 2.7, 3.4 and 3.5, we obtain many results of the papers [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][23][24][25][26][27][28][29].…”

Solutions and stability of a generalization of wilson's equation

“…Recently, Ebanks, Stetkaer [13] and Stetkaer [28] [2], [3], [6], [9], [15], [16], [17], [20], [21], [22], [23], [24], [25], [29] and [32], for a thorough account on the subject of stability of functional equations. The aim of this paper is to study some properties of the solutions and Hyers-Ulam stability of some generalization of d'Alembert's and Wilson's functional equations which has been introduced in [14].…”