ON THE STABILITY FOR CUBIC FUNCTIONAL EQUATION OF MIXED TYPE

TitleON THE STABILITY FOR CUBIC FUNCTIONAL EQUATION OF MIXED TYPE
Publication TypeJournal Article
Year of Publication2008
AuthorsKIM HARK-MAHN, KANG SHEON-YOUNG, CHANG ICK-SOON
JournalDynamic Systems and Applications
Volume17
Start Page583
Pagination12
Date Published2008
ISSN1056-2176
AMS Subject Classification39B52, 39B72
Abstract

In this paper, we consider the general solution for a mixed type cubic functional equation lf( mX−1 i=1 xi + lxm) + lf( mX−1 i=1 xi − lxm) + 2 mX−1 i=1 f(lxi) = 2lf( mX−1 i=1 xi) + l 3 mX−1 i=1 [f(xi + xm) + f(xi − xm)], where l ≥ 2 and m ≥ 3 are any integers and investigate the Hyers-Ulam-Rassias stability of this equation.
PDFhttps://acadsol.eu/dsa/articles/17/DSA-2007-583-594.pdf
Refereed DesignationRefereed