Bull. Korean Math. Soc. 2007; 44(4): 841-849
Printed December 1, 2007
Copyright © The Korean Mathematical Society.
Mingyong Xu
Sichuan University
In this paper we discuss the Hyers-Ulam-Rassias stability of a system of first order linear recurrences with variable coefficients in Banach spaces. The concept of the Hyers-Ulam-Rassias stability originated from Th. M. Rassias' stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. {\bf 72} (1978), 297--300. As an application, the Hyers-Ulam-Rassias stability of a $p$-order linear recurrence with variable coefficients is proved.
Keywords: Hyers-Ulam-Rassias stability, linear recurrence, sequence, product space
MSC numbers: 39B82
2020; 57(4): 1033-1048
2012; 49(5): 1089-1099
1996; 33(4): 513-519
2001; 38(2): 325-336
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd