Article ID Journal Published Year Pages File Type
10426912 Nonlinear Analysis: Theory, Methods & Applications 2005 13 Pages PDF
Abstract
In this paper, we prove the Hyers-Ulam-Rassias stability of the following generalized quadratic functional equation of Euler-Lagrange type ∑i=1nriQ∑j=1nrj(xi-xj)+∑i=1nriQ∑i=1nrixi=∑i=1nri2∑i=1nriQ(xi)in Banach modules over a unital C*-algebra, where n>1 is a positive integer and {ri∈(0,∞)|i=1,…,n} is arbitrary given.
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Physical Sciences and Engineering Engineering Engineering (General)
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