On stability and nonstability of systems of functional equations

被引：3

作者：

Eshaghi, Madjid ^{[1
]}

Hayati, Bahman ^{[2
]}

Kamyar, Mahdie ^{[1
]}

Khodaei, Hamid ^{[2
]}

机构：

[1] Semnan Univ, Dept Math, POB 35195-363, Semnan, Iran

[2] Malayer Univ, Dept Math, POB 65719-95863, Malayer, Iran

来源：

QUAESTIONES MATHEMATICAE | 2021年 / 44卷 / 04期

关键词：

System of functional equations; r-divisible abelian group; stability; nonstability;

D O I：

10.2989/16073606.2020.1728415

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the stability and nonstability results for the following system of functional equations where a, b is an element of DOUBLE-STRUCK CAPITAL Z\{0}, on r-divisible abelian groups.

引用

页码：557 / 567

页数：11

共 50 条

[31] Stability condition of distributed delay systems based on an analytic solution to Lyapunov functional equations
Department of Electrical Engineering, University of Ulsan, Ulsan, 680-749, Korea, Republic of
Asian J. Control, 2006, 1 (91-96): : 91 - 96
[32] Stability and control of nonlinear systems described by retarded functional equations: a review of recent results
Iasson Karafyllis
ZhongPing Jiang
Science in China Series F: Information Sciences, 2009, 52 : 2104 - 2126
[33] Stability and control of nonlinear systems described by retarded functional equations: a review of recent results
Karafyllis, Iasson
Jiang ZhongPing
SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2009, 52 (11): : 2104 - 2126
[34] Stability and control of nonlinear systems described by retarded functional equations: a review of recent results
KARAFYLLIS Iasson
Science China(Information Sciences), 2009, (11) : 2104 - 2126
[35] Stability of impulsive functional differential equations via the Liapunov functional
Luo, Zhiguo
Shen, Jianhua
APPLIED MATHEMATICS LETTERS, 2009, 22 (02) : 163 - 169
[36] Stability of quadratic functional equations in generalized functions
Young-Su Lee
Advances in Difference Equations, 2013
[37] ASYMPTOTIC STABILITY IN FUNCTIONAL-DIFFERENTIAL EQUATIONS
KOBAYASHI, K
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 20 (04) : 359 - 364
[38] Asymptotic stability of the Cauchy and Jensen functional equations
A. Bahyrycz
Zs. Páles
M. Piszczek
Acta Mathematica Hungarica, 2016, 150 : 131 - 141
[39] A Uniqueness Theorem for Stability Problems of Functional Equations
Jung, Soon-Mo
Lee, Yang-Hi
Roh, Jaiok
SYMMETRY-BASEL, 2024, 16 (10):
[40] Stability of quadratic functional equations in tempered distributions
Young-Su Lee
Journal of Inequalities and Applications, 2012

← 1 2 3 4 5 →