Stability of a Functional Equation Deriving from Quadratic and Additive Functions in Non-Archimedean Normed Spaces-Reference-Cited by-同舟云学术

Stability of a Functional Equation Deriving from Quadratic and Additive Functions in Non-Archimedean Normed Spaces

Published:2013 Issue: Volume:2013 Page:1-10
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Bodaghi Abasalt¹^ORCID,Kim Sang Og²

Affiliation:

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

2. Department of Mathematics, Hallym University, Chuncheon 200-702, Republic of Korea

Abstract

We obtain the general solution of the generalized mixed additive and quadratic functional equationfx+my+fx−my=2fx−2m2fy+m2f2y,mis even;fx+y+fx−y−2m2−1fy+m2−1f2y,mis odd, for a positive integerm. We establish the Hyers-Ulam stability for these functional equations in non-Archimedean normed spaces whenmis an even positive integer orm=3.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/198018.pdf

Reference29 articles.

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