The superstability of d’Alembert’s functional equation on the Heisenberg group

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 Generalized Kannappan’s and Van Vleck’s Functional Equations

“…The result of Baker, Lawrence and Zorzitto [5] was generalized by L. Székelyhidi [29,30] in another way. We refer also to [2], [8], [11], [12], [13], [14], [16], [18], [19] and [21] for other results concerning the stability and the superstability of functional equations In the first part of this paper we extend the above results to the following generalization of Van Vleck's functional equation for the sine…”

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].…”