- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Notes on the superstability of d'Alembert type functional equations Bull. Korean Math. Soc. 2009 Vol. 46, No. 2, 235-243 https://doi.org/10.4134/BKMS.2009.46.2.235Printed March 1, 2009 Peng Cao and Bing Xu Sichuan University Abstract : In this paper we will investigate the superstability of the generalized d'Alembert type functional equations $\sum_{i=1}^{m}f(x+\sigma^{i}(y))=kg(x)f(y)$ and $\sum_{i=1}^{m}f(x+\sigma^{i}(y))=kf(x)g(y)$. Keywords : d'Alembert functional equation, superstability, cosine function MSC numbers : 39B82, 39B32 Downloads: Full-text PDF