微分方程稳定性理论 meaning in English
stability theories of differential equation
Examples
- This article penetratively analyses the locally asymptotic stability of equilibrium state to the single - variable system of the tumor immunity surveillance model by aid of the ordinary differential equation stability theory
摘要用严格的常微分方程稳定性理论，对肿瘤免疲监视模型的单变量系统平衡态的局部渐进稳定性做了深入分析。 - This thesis constructs a series of differential equation models reflecting the interest rate changes in the financial system for various financial backgrounds . it also studies the laws of changes of interest rate and the stability of financial market by applying the stability theory of differential equation
本文在各种不同的金融背景下，建立了一系列反映金融系统利率变化的微分方程模型，并应用微分方程稳定性理论研究了金融市场利率的变化规律及其稳定性。 - In the course of modeling , we present multi - step generalized gradient method and multi - stage curve fitting technique , prove convergence of multi - step generalized gradient method by using differential equation stable theory , analyze the error of multi - stage curve fitting technique by using inner space , creat knowledge base of water network system by using the maximum subordinate principle of and near - select principle of pattern recognition . at last we make the optimal running scheme of water network system based on heuristic search technique of artificial intelligence and global feedback immediate coordination method of large scale system theory
在建立系统模型的过程中,提出了多步广义梯度法和多层曲线拟合的建模方法,并用微分方程稳定性理论证明了多步广度梯度法收敛性,用内积空间的有关知识对多层曲线拟合进行误差分析;应用模糊数学中的最大隶属度原则和模糊识别中的择近原则和人工智能中状态空间表示法建立注水系统的知识库;用人工智能中的启发式搜索技术和大系统理论中的具有全局反馈的直接协调法制定注水系统的优化运行方案。 - The study on the stability switches of functional differential difference equations is an important research branch of the stability theories , which of both the theory and its applications has broad prospects . the first part of this paper , chapter 2 and 3 , deals with the stability switches for two classes of retarded differential difference systems , respectively . by analyzing the characteristic roots of characteristic equations , some algebraic criteria of stability switches are established , which are useful and easy to verify
稳定性开关是泛函微分方程稳定性理论中的一个重要分支，无论是理论本身还是它的应用都有广泛的前景，本文的第一部分(第2章、第3章)分别讨论两类二阶滞后型微分差分系统的稳定性开关，通过分析特征方程的特征根，我们给出了存在稳定性开关现象的实用而又易于验证的代数判据，并利用计算机模拟验算了一个具体例子。