%0 Journal Article %T The Functional Equation f ¡ã f + af + b1R = 0 %A Ion Chi escu %A Traian Gaadea %J Annals of the Alexandru Ioan Cuza University - Mathematics %D 2010 %I %R 10.2478/v10157-010-0020-x %X We compute all the continuous solutions of the functional equation in the title, for real a, b and b ¡Ù 0. The solutions are obtained using different patterns which depend upon the solutions of the associated characteristic equations. %K functional equation %K continuous solution %K homeomorphism %K fixed point %U http://versita.metapress.com/content/52230t40v870l1r2/?p=ce4187d94ebe44b1baabc13378ad7656&pi=6