## Real Analysis Exchange

### Stability of Two Types of Cubic Functional Equations in Non-Archimedean Spaces

#### Abstract

We prove the generalized stability of the cubic type functional equation $$f(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x)$$ and another functional equation $$f(ax+y)+f(x+ay)=(a+1)(a-1)^{2}[f(x)+f(y)] +a(a+1)f(x+y),$$ where $a$ is an integer with $a \neq 0, \pm 1$ in the framework of non-Archimedean normed spaces.

#### Article information

Source
Real Anal. Exchange Volume 33, Number 2 (2007), 375-384.

Dates
First available in Project Euclid: 18 December 2008

http://projecteuclid.org/euclid.rae/1229619415

Mathematical Reviews number (MathSciNet)
MR2458254

Zentralblatt MATH identifier
05499476

#### Citation

Moslehian, Mohammad Sal; Sadeghi, Ghadir. Stability of Two Types of Cubic Functional Equations in Non-Archimedean Spaces. Real Anal. Exchange 33 (2007), no. 2, 375--384. http://projecteuclid.org/euclid.rae/1229619415.

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