HYERS-ULAM STABILITY OF FIRST ORDER LINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS

SOON-MO JUNG; KI-SUK LEE

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HYERS-ULAM STABILITY OF FIRST ORDER LINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS

机译：具有常数的一阶线性偏微分方程的Hyers-ulam稳定性

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摘要

In this paper, we prove the Hyers-Ulam stability of first order linear partial differential equations with constant coefficients aux(x, y) + buy(x, y) + cu(x, y) + d = 0, where a, b ∈ R and c, d ∈ C are constants with R(c) ≠ 0 and R(c) denotes the real part of c.

机译：在本文中，我们证明了常数系数aux（x，y）+ buy（x，y）+ cu（x，y）+ d = 0的一阶线性偏微分方程的Hyers-Ulam稳定性，其中a，b ∈R和c，d∈C是R（c）≠0的常数，R（c）表示c的实部。

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《Mathematical inequalities & applications》 |2007年第2期|共6页
作者
SOON-MO JUNG; KI-SUK LEE;
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正文语种 eng
中图分类数学;
关键词
Hyers-Ulam stability; partial differential equation; inequality;

机译：Hyers-Ulam稳定性;偏微分方程;不等式;

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专利

1. HYERS-ULAM STABILITY OF FIRST ORDER LINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS [J] . SOON-MO JUNG, KI-SUK LEE Mathematical inequalities & applications . 2007,第2期

机译：具有常数的一阶线性偏微分方程的Hyers-ulam稳定性
2. Best constant in Hyers-Ulam stability of first-order homogeneous linear differential equations with a periodic coefficient [J] . Fukutaka Ryuma, Onitsuka Masakazu Journal of Mathematical Analysis and Applications . 2019,第2期

机译：具有周期系数的一阶均匀线性微分方程的Hyers-ULAM稳定性最佳常数
3. Input-output stability degrees for undamped constant coefficients linear partial differential equations [J] . Matei Kelemen International Journal of Control . 2001,第4期

机译：无阻尼常数系数线性偏微分方程的输入输出稳定度
4. A Symbolic Approach to Boundary Problems for Linear Partial Differential Equations: Applications to the Completely Reducible Case of the Cauchy Problem with Constant Coefficients [C] . Markus Rosenkranz, Nalina Phisanbut International workshop on computer algebra in scientific computing . 2013

机译：线性偏微分方程边界问题的一种符号法：在常系数柯西问题的完全可约情形下的应用。
5. Linear quadratic regulatory boundary/point control of stochastic partial differential equation systems with unbounded coefficients. [D] . Hafizoglu, Cavit. 2006

机译：具有无穷系数的随机偏微分方程系统的线性二次调节边界/点控制。
6. CAUCHYS PROBLEM FOR LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS [O] . Leon Ehrenpreis 1956

机译：具有常数系数的线性微分方程的Cauchy问题
7. Hyers-Ulam stability of linear differential operator with constant coefficients [O] . Takeshi Miura, Shizuo Miyajima, Sin-ei Takahasi 2003

机译：具有常系数的线性微分算子的Hyers-Ulam稳定性
8. Expansions in Series of Homogeneous Polynomial Solutions of the General Two-Dimensional Linear Partial Differential Equation of the Second Order with Constant Coefficients [R] . D. V. Widder 1958

机译：常系数二阶一般二维线性偏微分方程齐次多项式解的一系列展开式

HYERS-ULAM STABILITY OF FIRST ORDER LINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS

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