## Abstract and Applied Analysis

### Generalized Stability of Euler-Lagrange Quadratic Functional Equation

#### Abstract

The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation $f(ax+by)+af(x-by)=(a+1){b}^{2}f(y)+a(a+1)f(x)$, in $(\beta ,p)$-Banach space, where $a,b$ are fixed rational numbers such that $a\ne -1,0$ and $b\ne 0$.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 219435, 16 pages.

Dates
First available in Project Euclid: 7 May 2014

https://projecteuclid.org/euclid.aaa/1399487773

Digital Object Identifier
doi:10.1155/2012/219435

Mathematical Reviews number (MathSciNet)
MR2959767

Zentralblatt MATH identifier
1246.39026

#### Citation

Kim, Hark-Mahn; Kim, Min-Young. Generalized Stability of Euler-Lagrange Quadratic Functional Equation. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 219435, 16 pages. doi:10.1155/2012/219435. https://projecteuclid.org/euclid.aaa/1399487773

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