New Quadratic Functional Equation and Its (Hurs)

Abstract

The primary subject in the stability of differential equations is to answer the question of when is it real that a mapping which roundly satisfies a differential equation must be close to an exact solution of the equation. For this reason, the Hyers-Ulam and Hyers-Ulam Rassias stability of differential equations is fundemantal. Currently, researchers have used various methods (open mapping, direct method, integral factor, fixed point method) to research that the Hyers-Ulam Rassias and Hyers-Ulam stability of differential equations. The direct method has been succesfully apllied for investigate of the Hyers-Ulam Rassias stability of many different functional differential equations. But it does not enough for some important cases. The second most popular method is the fixed point method.