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On the Stability of Functional Equations in $n$-variables and its applications

Gwang Hui Kim
대한수학회 (The Korean Mathematical Society)|2005.04|대한수학회논문집 (Communications of the KMS)|제20권 제2호|pp. 321-338

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참고문헌

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초록

Abstract

In this paper we investigate a generalization of the Hyers-Ulam-Rassias stability for a functional equation of the form f('(X)) = Á(X)f(X), where X lie in n-variables. As a conse-quence, we obtain a stability result in the sense of Hyers, Ulam, Rassias, and G·avruta for many other equations such as the gamma, beta, SchrÄoder, iterative, and G-function type's equations.

참고문헌 (22)

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관련 논문AI추천

On the Stability of the generalized $G$-type functional equationsGwang Hui Kim대한수학회 · 대한수학회논문집2005 · 제20권 제1호On the solution and stability of the quadratic type functional equations이은휘대한수학회 · 대한수학회논문집2004 · 제19권 제3호On the solution of a bi-Jensen functional equation and its stability박원길, 배재형대한수학회 · 대한수학회보2006 · 제43권 제3호On the Stability of the Cosine Type Functional Equation김광휘한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제1호ON THE STABILITY OF A GENERALIZED ADDITIVE FUNCTIONAL EQUATION II신동윤, 이정례, 이태극한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제2호On the Stability of Orthogonally Cubic Functional EquationsChoonkil Baak, Mohammad Sal Moslehian경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호

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