The Asymptotically Periodic Behavior of the Solutions of Some Linear Functional Equations

1949 ◽  
Vol 71 (2) ◽  
pp. 313 ◽  
Author(s):  
N. G. DeBruijn
Keyword(s):  
Functional Equations ◽  
Linear Functional ◽  
Periodic Behavior ◽  
Linear Functional Equations ◽  
Asymptotically Periodic

HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES

2020 ◽  
Vol 102 (2) ◽  
pp. 293-302
Author(s):  
THEERAYOOT PHOCHAI ◽  
SATIT SAEJUNG
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Functional Equations ◽  
Linear Functional ◽  
Linear Equations ◽  
General Linear ◽  
Several Variables ◽  
Linear Functional Equations

Zhang [‘On hyperstability of generalised linear functional equations in several variables’, Bull. Aust. Math. Soc.92 (2015), 259–267] proved a hyperstability result for generalised linear functional equations in several variables by using Brzdęk’s fixed point theorem. We complete and extend Zhang’s result. We illustrate our results for general linear equations in two variables and Fréchet equations.

Linear functional equations involving Babbage’s equation

2014 ◽  
Vol 69 (4) ◽  
pp. 195-204 ◽  
Author(s):  
Yong-Guo Shi ◽  
Xiao-Bing Gong
Keyword(s):  
Functional Equations ◽  
Linear Functional ◽  
Linear Functional Equations
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