Solutions of bounded variation of a linear homogeneous functional equation in the indeterminate case

1976 ◽  
Vol 14 (1-2) ◽  
pp. 143-158
Author(s):  
Marek Cezary Zdun
Keyword(s):  
Functional Equation ◽  
Bounded Variation ◽  
Indeterminate Case

Solutions of bounded variation of a linear homogeneous functional equation in the indeterminate case

1975 ◽  
Vol 13 (1-2) ◽  
pp. 197-198
Author(s):  
Marek Cezary Zdun
Keyword(s):  
Functional Equation ◽  
Bounded Variation ◽  
Indeterminate Case

scholarly journals On the "indeterminate case" in the theory of a linear functional equation

1966 ◽  
Vol 58 (2) ◽  
pp. 163-175 ◽  
Author(s):  
B. Choczewski ◽  
M. Kuczma
Keyword(s):  
Functional Equation ◽  
Linear Functional ◽  
Linear Functional Equation ◽  
Indeterminate Case

Solutions of bounded variation of a linear functional equation

1974 ◽  
Vol 10 (2-3) ◽  
pp. 223-235 ◽  
Author(s):  
Janusz Matkowski ◽  
Marek Zdun
Keyword(s):  
Functional Equation ◽  
Bounded Variation ◽  
Linear Functional ◽  
Linear Functional Equation

The one-level functional equation of multi-rate loss systems

2003 ◽  
Vol 14 (2) ◽  
pp. 107-118 ◽  
Author(s):  
Harro L. Hartmann ◽  
Martin Knoke
Keyword(s):  
Functional Equation ◽  
Loss Systems ◽  
The One ◽  
Rate Loss

Stability and non-stability of generalized radical cubic functional equation in quasi-$\beta$-Banach spaces

2019 ◽  
Vol 12 (3) ◽  
pp. 175-190
Author(s):  
Iz-iddine EL-Fassi ◽  
John Michael Rassias
Keyword(s):  
Functional Equation ◽  
Banach Spaces ◽  
Cubic Functional Equation

On the stability of a nonic functional equation in quasi-normed spaces

2016 ◽  
Vol 12 (3) ◽  
pp. 4368-4374
Author(s):  
Soo Hwan Kim
Keyword(s):  
Functional Equation ◽  
Ulam Stability ◽  
Normed Spaces ◽  
The Stability

In this paper, we extend normed spaces to quasi-normed spaces and prove the generalized Hyers-Ulam stability of a nonic functional equation:$$\aligned&f(x+5y) - 9f(x+4y) + 36f(x+3y) - 84f(x+2y) + 126f(x+y) - 126f(x)\\&\qquad + 84f(x-y)-36f(x-2y)+9f(x-3y)-f(x-4y) = 9 ! f(y),\endaligned$$where $9 ! = 362880$ in quasi-normed spaces.

Solutions and Stability of Generalized Mixed Type QCA-Functional Equations in Random Normed Spaces

2013 ◽  
Vol 59 (2) ◽  
pp. 299-320
Author(s):  
M. Eshaghi Gordji ◽  
Y.J. Cho ◽  
H. Khodaei ◽  
M. Ghanifard
Keyword(s):  
Functional Equation ◽  
General Solution ◽  
Functional Equations ◽  
Mixed Type ◽  
Additive Functional ◽  
Normed Spaces ◽  
Additive Functional Equation ◽  
Probabilistic Normed Spaces ◽  
Random Normed Spaces ◽  
Generalized Stability

Abstract In this paper, we investigate the general solution and the generalized stability for the quartic, cubic and additive functional equation (briefly, QCA-functional equation) for any k∈ℤ-{0,±1} in Menger probabilistic normed spaces.

Sign in / Sign up

Export Citation Format

Share Document