首页|一类伯努利微分方程的条件Hyers-Ulam稳 定性分析

一类伯努利微分方程的条件Hyers-Ulam稳 定性分析

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研究一类伯努利微分方程,在给定扰动阈值和初值条件下,建立了此类方程精确解和近似解间的比较定理,由此得到此类方程的条件Hyers-Ulam稳定的充分条件.并用例子证明其有效性.
Conditional Hyers-Ulam Stability for a Class of Bernoulli Differential Equations
This paper deals with the conditional Hyers-Ulam stability for a class of Bernoulli differential equations.Within a certain threshold of disturbance and initial value,the comparability theory of exact and approximate solutions is obtained.These results guarantee the conditional Hyers-Ulam stability of the Bernoulli differential equations.An example are given to illustrate the effectiveness of the established results.

Conditional Hyers-Ulam stabilityHyers-Ulam constantComparability theoryBernoul-li differential equation

罗木春、谢峰

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东华大学数学与统计学院,上海 201620

条件Hyers-Ulam稳定 Hyers-Ulam常数 比较定理 伯努利微分方程

2025

应用数学
华中科技大学

应用数学

北大核心
影响因子:0.234
ISSN:1001-9847
年,卷(期):2025.38(1)