Stability of a Functional Equation Deriving from Cubic and Quartic Functions

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Stability of a Functional Equation Deriving from Cubic and Quartic Functions

M. Eshaghi Gordji, A. Ebadian, and S. Zolfaghari

Source: Abstr. Appl. Anal. Volume 2008 (2008), 17 pages.

Abstract

We obtain the general solution and the generalized Ulam-Hyers stability of the cubic and quartic functional equation $4(f(3x+y)+f(3x-y))=-12(f(x+y)+f(x-y))+12(f(2x+y)+f(2x-y))-8f(y)-192f(x)+f(2y)+30f(2x)$.

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aaa/1234299005
Digital Object Identifier: doi:10.1155/2008/801904
Mathematical Reviews number (MathSciNet): MR2475783
Zentralblatt MATH identifier: 1160.39334

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