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Czerwik, S, On the stability of the quadratic mapping in normed spaces, Abh. Math. Sem. Univ.Hamburg, 62, 1992, 59-64.

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Article

Stability of Quadratic Functional Equationin Two Variables

1Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, China


Applied Mathematics and Physics. 2017, Vol. 5 No. 3, 95-98
DOI: 10.12691/amp-5-3-3
Copyright © 2017 Science and Education Publishing

Cite this paper:
Jianbing Cao. Stability of Quadratic Functional Equationin Two Variables. Applied Mathematics and Physics. 2017; 5(3):95-98. doi: 10.12691/amp-5-3-3.

Correspondence to: Jianbing  Cao, Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, China. Email: caocjb@163.com

Abstract

In this paper, we establish the general solution of a 2-variable quadratic functional equation f(2x+y,2z+w)=f(x+y,z+w)-f(x-y,z-w)+4f(x,z)+f(y,w) and prove the generalized Hyers-Ulam stability of this functional equation.

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