DISCUSSION ON THE CONTINUOUS SOLUTIONS OF A FUNCTIONAL EQUATION
Qi Aiqin (Dept. of Math., Binzhou Medical College, Binzhou,256603) Si Jianguo (Dept. of Math., Binzhou Normal College, Binzhou,256604)
In this paper we consider the functional equation f[cp(x) + df(x)] = F(x), where f(x) denotes the unknown function and p(x), F(x) are two given functions. The existence, uniqueness and stability of continuous solutions of the above equation are studied.