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2008 Stability of a Functional Equation Deriving from Cubic and Quartic Functions
M. Eshaghi Gordji, A. Ebadian, S. Zolfaghari
Abstr. Appl. Anal. 2008: 1-17 (2008). DOI: 10.1155/2008/801904

Abstract

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

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M. Eshaghi Gordji. A. Ebadian. S. Zolfaghari. "Stability of a Functional Equation Deriving from Cubic and Quartic Functions." Abstr. Appl. Anal. 2008 1 - 17, 2008. https://doi.org/10.1155/2008/801904

Information

Published: 2008
First available in Project Euclid: 10 February 2009

zbMATH: 1160.39334
MathSciNet: MR2475783
Digital Object Identifier: 10.1155/2008/801904

Rights: Copyright © 2008 Hindawi

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