Stability of a Quartic Functional Equation-Reference-Cited by-同舟云学术

Stability of a Quartic Functional Equation

Published:2014 Issue: Volume:2014 Page:1-9
ISSN:2356-6140
Container-title:The Scientific World Journal
language:en
Short-container-title:The Scientific World Journal

Author:

Bodaghi Abasalt¹^ORCID

Affiliation:

1. Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran

Abstract

We obtain the general solution of the generalized quartic functional equationf(x+my)+f(x-my)=2(7m-9)(m-1)f(x)+2m2(m2-1)f(y)-(m-1)2f(2x)+m2{f(x+y)+f(x-y)}for a fixed positive integerm. We prove the Hyers-Ulam stability for this quartic functional equation by the directed method and the fixed point method on real Banach spaces. We also investigate the Hyers-Ulam stability for the mentioned quartic functional equation in non-Archimedean spaces.

Publisher

Hindawi Limited

Subject

General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine

Link

http://downloads.hindawi.com/journals/tswj/2014/752146.pdf

Reference25 articles.

1. On the Stability of the Linear Functional Equation

2. On the Stability of Jordan *-Derivation Pairs

3. On the Stability of the linear Transformation in Banach Spaces.

4. Approximate ternary quadratic derivations on ternary Banach algebras and C*-ternary rings

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