On the Generalized Ulam-Gavruta-Rassias Stability of Mixed-Type Linear and Euler-Lagrange-Rassias Functional Equations

Paisan Nakmahachalasint

International Journal of Mathematics and Mathematical Sciences, 2007, vol. 2007, 1-10

Abstract:

In this paper, the mixed-type linear and Euler-Lagrange-Rassias functional equations introduced by J. M. Rassias is generalized to the following n -dimensional functional equation: f ( ∑ i = 1 n x i ) + ( n − 2 ) ∑ i = 1 n f ( x i ) = ∑ 1 ≤ i < j ≤ n f ( x i − x j ) when n > 2 . We prove the general solutions and investigate its generalized Ulam-Gavruta-Rassias stability.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:063239

DOI: 10.1155/2007/63239

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