Title of article :
On the General Solution of a Quadratic Functional Equation and its Ulam Stability in Various Abstract Spaces
Author/Authors :
Shen ، Yonghong - Tianshui Normal University , Lan ، Yaoyao - Chongqing University of Arts and Sciences
Abstract :
In this paper, we establish the general solution of a new quadratic functional equation f (x-y+z/2)+f(x+y-z/2)+f(x+z)=3f(x)+1/2f(y)+3/2f(z).Next, the Ulam stability of this equation in a real normed space and a non-Archimedean space is studied, respectively.
Keywords :
General solution , Ulam stability , Quadratic functional equation , Normed space , Non , Archimedean space
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
