文章基本信息

标题：On a modified Hyers-Ulam stability of homogeneous equation
本地全文：下载
作者：Soon-Mo Jung
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1998
卷号：21
期号：3
页码：475-478
DOI：10.1155/S0161171298000672
出版社：Hindawi Publishing Corporation
摘要：
In this paper, a generalized Hyers-Ulam stability of the homogeneous equation shall be proved, i.e., if a mapping f satisfies the functional inequality ‖ f ( y x ) − y k f ( x ) ‖ ≤ φ ( x , y ) under suitable conditions, there exists a unique mapping T satisfying T ( y x ) = y t T ( x ) and ‖ T ( x ) − f ( x ) ‖ ≤ Φ ( x ) .