On approximate additive-quartic and quadratic-cubic functional equations in two variables on abelian groups

Ebadian A.; Najati A.; Eshaghi Gordji M.

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On approximate additive-quartic and quadratic-cubic functional equations in two variables on abelian groups

机译：关于阿贝尔群上两个变量的近似加法四次方程和二次三次方程

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摘要

We establish the generalized Hyers-Ulam stability of the additive-quartic and quadratic-cubic mappings with two variables on abelian groups.

机译：我们建立了在阿贝尔群上具有两个变量的加法-二次和二次三次映射的广义Hyers-Ulam稳定性。

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《Results in mathematics》 |2010年第2期|共15页
作者
Ebadian A.; Najati A.; Eshaghi Gordji M.;
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正文语种 eng
中图分类数学;
关键词
Cubic functional equation; Hyers-Ulam-Rassias stability; Quadratic functional equation; Quartic functional equation; Quintic functional equation;

机译：三次函数方程;Hyers-Ulam-Rassias稳定性;二次函数方程;二次函数方程;二次函数方程;

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1. On approximate additive-quartic and quadratic-cubic functional equations in two variables on abelian groups [J] . Ebadian A., Najati A., Eshaghi Gordji M. Results in mathematics . 2010,第1a2期

机译：关于阿贝尔群上两个变量的近似加法四次方程和二次三次方程
2. A generalized additive-quartic functional equation and its stability [J] . Charinthip Hengkrawit, Anurak Thanyacharoen Bulletin of the Korean Mathematical Society . 2015,第6期

机译：广义加性二次函数方程及其稳定性
3. Orthogonal stability of an additive-quartic functional equation with the fixed point alternative [J] . Sung Jin Lee, Choonkil Park, Reza Saadati Journal of inequalities and applications . 2012,第1期

机译：具有定点替代的一加四次功能方程的正交稳定性
4. Functional Equations Involving Fuzzy Implications and Their Applications in Approximate Reasoning [C] . Micha? Baczyński International Summer School on Aggregation Operators . 2013

机译：涉及模糊影响的功能方程及其在近似推理中的应用
5. Distributed approximating functionals, partial differential equations, and signal processing. [D] . Zhang, De Sheng. 1999

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6. Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients [O] . Dianchen Lu, Tingting Chen, Baojian Hong -1

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7. A GENERALIZED ADDITIVE-QUARTIC FUNCTIONAL EQUATION AND ITS STABILITY [O] . CHARINTHIP HENGKRAWIT, ANURK THANYACHAROEN 2015

机译：广义添加剂 - 四官能方程及其稳定性

On approximate additive-quartic and quadratic-cubic functional equations in two variables on abelian groups

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