## Abstract and Applied Analysis

### Stability of a Functional Equation Deriving from Cubic and Quartic Functions

#### Abstract

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

#### Article information

Source
Abstr. Appl. Anal., Volume 2008 (2008), Article ID 801904, 17 pages.

Dates
First available in Project Euclid: 10 February 2009

https://projecteuclid.org/euclid.aaa/1234299005

Digital Object Identifier
doi:10.1155/2008/801904

Mathematical Reviews number (MathSciNet)
MR2475783

Zentralblatt MATH identifier
1160.39334

#### Citation

Gordji, M. Eshaghi; Ebadian, A.; Zolfaghari, S. Stability of a Functional Equation Deriving from Cubic and Quartic Functions. Abstr. Appl. Anal. 2008 (2008), Article ID 801904, 17 pages. doi:10.1155/2008/801904. https://projecteuclid.org/euclid.aaa/1234299005

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