ON A FUNCTIONAL EQUATION ARISING FROM PROTH IDENTITY Chung, Jaeyoung; Sahoo, Prasanna K.;
We determine the general solutions of the functional equation f(ux-vy, uy+v(x+y)) = f(x, y)f(u, v) for all x, y, u, . We also investigate both bounded and unbounded solutions of the functional inequality for all x, y, u, , where is a given function.
exponential type functional equation;general solution;multiplicative function;Proth identity;stability;bounded solution;
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