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## ON THE STABILITY OF FUNCTIONAL EQUATIONS IN n-VARIABLES AND ITS APPLICATIONS

###### Abstract

In this paper we investigate a generalization of the Hyers-Ulam-Rassias stability for a functional equation of the form $f(\varphi(X))\;=\;\phi(X)f(X)$, where X lie in n-variables. As a consequence, we obtain a stability result in the sense of Hyers, Ulam, Rassias, and Gavruta for many other equations such as the gamma, beta, Schroder, iterative, and G-function type's equations.

#### 참고문헌 (27)

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#### 이 논문을 인용한 문헌 (1)

1. 2008. "" Communications of the Korean Mathematical Society = 대한수학회논문집, 23(3): 371~376

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