Title of article :
ON A FUNCTIONAL EQUATION ORIGINATING FROM A MIXED ADDITIVE AND CUBIC EQUATION AND ITS STABILITY
Author/Authors :
Janfada, Mohammad ferdowsi university of mashhad - Department of Mathematics, مشهد, ايران , Shateri, Tayebe Laal hakim sabzevari university - Facaulty of Mathematics and computer sciences, سبزوار, ايران , Shourvarzi, Rahele hakim sabzevari university - Department of Mathematics, سبزوار, ايران
Abstract :
In this paper, we study solutions of the 2-variable mixed additive and cubic functional equation f(2x + y, 2z + t) + f(2x - y, 2z - t) = 2f(x + y, z + t) + 2f(x - y, z - t) + 2f(2x, 2z) - 4f(x, z); which has the cubic form f(x, y) = ax³ + bx²y + cxy² + dy³ as a solution.Also the Hyers-Ulam-Rassias stability of this equation in the non-Archimedean Banach spaces is investigated.
Keywords :
Hyers , Ulam , Rassias stability , Cubic functional equation , Non , Archimedean normed space , Derivation
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
