Stability of functional equations in a single variable via JS-metrics

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Stability of functional equations in a single variable via JS-metrics

机译：通过JS-PERRICS在单个变量中的功能方程的稳定性

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Some stability results concerning functional equations in a single variable are proved, using the Banach Contraction Principle in a complete JS-metric space. It is also shown that certain functional equations possess a unique solution. (C) 2021 Elsevier Inc. All rights reserved.

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来源
《Journal of Mathematical Analysis and Applications》 |2021年第2期|共11页
作者
Dangskul Supreedee;
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作者单位

Chiang Mai Univ Fac Sci Adv Res Ctr Computat Simulat Dept Math Chiang Mai 50200 Thailand;

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原文格式 PDF
正文语种 eng
中图分类数学分析;应用数学;
关键词
Fixed points; Functional equations; JS-metric spaces; Stability;

机译：固定点;功能方程;JS-Metric空间;稳定性;

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1. EXISTENCE OF PERIODIC SOLUTION FOR A KIND OF THIRD-ORDER GENERALIZED NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER [J] . A.M.Mahmoud1, E.S.Farghaly2 应用数学年刊：英文版 . 2018,第003期
2. Approximate derivative-dependent functional variable separation for quasi-linear diffusion equations with a weak source [J] . Ji Fei-Yu, Yang Chun-Xiao 中国物理：英文版 . 2013,第010期
3. Approximate Derivative-Dependent Functional Variable Separation for the Generalized Diffusion Equations with Perturbation＊ [J] . 张顺利, 吉飞宇, 屈长征理论物理通讯（英文版） . 2012,第008期
4. EXISTENCE OF PERIODIC SOLUTIONS TO A p-LAPLACIAN NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER [J] . 微分方程年刊：英文版 . 2010,第002期
5. On the stability of the linear functional equation in a single variable on complete metric groups [J] . Soon-Mo Jung, Dorian Popa, Michael Th. Rassias Journal of Global Optimization . 2014,第1期

机译：完整度量组上单个变量中线性泛函方程的稳定性
6. The probabilistic stability for a functional equation in a single variable [J] . D. Miheƫ Acta Mathematica Hungarica . 2009,第3期

机译：单变量泛函方程的概率稳定性
7. The probabilistic stability for a functional nonlinear equation in a single variable [J] . Dorel Mihe? Journal of Mathematical Inequalities . 2009,第3期

机译：单变量泛函非线性方程的概率稳定性
8. General Solution of a 2-variable Quadratic Functional Equation and Its Stability [C] . Jianbing Cao, Jingben Yin International Conference on Computing, Control and Industrial Engineering . 2010

机译：2变量二次函数方程的一般解及其稳定性
9. Geometric field stability and normal field curvature of solution sets of ordinary differential equations in two variables. [D] . Kerns, Leslie L. 2006

机译：具有两个变量的常微分方程解集的几何场稳定性和法向曲率。
10. A general theorem on the stability of a class of functional equations including quadratic-additive functional equations [O] . Yang-Hi Lee, Soon-Mo Jung -1

机译：关于一类包含二次加法泛函的泛函方程的稳定性的一个一般性定理
11. On the stability of the linear functional equation in a single variable on complete metric groups [O] . Jung, Soon-Mo, Popa, Dorian, Rassias, Michael Th. 2015

机译：关于单变量线性泛函方程的稳定性在完整的指标组上
12. On a Functional Equation Arising in the Stability Theory of Difference-Differential Equations, [R] . castelan, w. b. infante, e. f. -1

机译：在一个函数方程在差分 - 微分方程的稳定性理论所产生，

Stability of functional equations in a single variable via JS-metrics

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