We consider the Hyers-Ulam-Rassias stability problem $${parallel}u{circ}A-{upsilon}{circ}P_1-w{circ}P_2{parallel}{leq}{varepsilon}({mid}x{mid}^p+{mid}y{mid}^p)$$ for the Schwartz distributions u, ${upsilon}$, w, which is a distributional version of the Pexider generalization of the Hyers-Ulam-Rassias stability problem ${mid}(x+y)-g(x)-h(y){mid}{leq}{varepsilon}({mid}x{mid}^p+{mid}y{mid}^p)$, x, $y{in}mathbb{R}^n$, for the functions f, g, h : $mathbb{R}^n{ ightarrow}mathbb{C}$.