On the stability of the translation equation and dynamical systems

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• 作者：Barbara Przebieracz ^{barbara.przebieracz@us.edu.pl}
• 关键词：primary ; 39B12 ; 39B82 ; 37E05 ; 26A18
• 刊名：Nonlinear Analysis
• 出版年：2012
• 出版时间：March 2012
• 年：2012
• 卷：75
• 期：4
• 页码：1980-1988
• 全文大小：238 K

文摘

In this paper we prove the stability of the functional equation in the class of functions , which are continuous with respect to each variable, and where is a real interval. We also discuss the stability in the sense of Hyers-Ulam of dynamical systems on . We show some properties of -approximate solutions of the translation equation on a real interval.