qualitative theory
英 [ˈkwɒlɪtətɪv ˈθɪəri]
美 [ˈkwɑːlɪteɪtɪv ˈθiːəri]
网络 定性理论
双语例句
- The generalized kink waves of the short pulse equation were studied by the qualitative theory of ordinary differential equations and numerical simulation method.
用微分方程定性理论结合数值模拟方法研究了窄脉冲方程的广义扭结波。 - There are two kinds of finite time blow-up according to the qualitative theory: the pole of the movable singular point and the fixed singular point.
有限时刻爆破点在定性分析中可分为两类：一类为可移性奇点中的极点，一类为固定奇点。 - Philosophical Reflections on Qualitative Theory and Stability Theory of Ordinary Differential Equations
常微分方程定性理论与稳定性理论的哲学思考 - Chapter 1, as the beginning of this paper, offers some relative knowledge, such as preliminary qualitative theory of differential equation, basis theory of nonlinear functional analysis, theory of impulsive differential equation.
第一章作为准备知识给出了本文要用到的相关内容，其中包括非线性泛函分析理论和脉冲微分方程理论。 - The global stability of the positive equilibrium in this system is expounded by using the stability and qualitative theory of the ordinary difference equation, then the existence, the uniqueness and the global stability of the limit circle are proved, thus some former conclusions are extended.
利用微分方程稳定性和定性理论讨论该系统的正平衡点的全局稳定性问题，并得到了极限环的存在唯一性及其全局稳定性，推广了已有的一些结论。 - Finally, analyzing this signed digraph model by using the qualitative theory of nonlinear differential equation, the effect of space-based information support to Aviation can clearly be seen in missile assault to surface.
在此基础上运用非线性微分方程的定性理论对模型进行分析，充分说明了天基装备在航空兵对海导弹攻击中的信息支援作用。 - Based on the complete dynamical equations of the moist atmospheric motion, the qualitative theory of nonlinear atmosphere with dissipation and external forcing and its applications are systematically discussed by new theories and methods on the infinite dimensional dynamical system.
基于完整的湿大气动力学方程组，利用无穷维动力系统的新理论和新方法，系统讨论了强迫耗散的非线性大气系统的定性理论及其应用。 - The Qualitative Theory and Quantitative Study of Solvent Effect
溶剂效应的定性理论及定量研究 - A kind of one parameter planar singular perturbation equation is studied by the qualitative theory of ordinary differential equations, asymptotic analysis methods, implicit function theorem and fixed point methods.
本文应用微分方程定性理论、渐进分析方法、隐函数定理以及不动点理论的方法研究一类单参数二维奇异摄动系统。 - So far, the study about core competence is mainly a study of qualitative theory analysis, and lacks in a systems analysis method which is exercisable.
迄今为止，关于核心能力的研究多为定性的理论分析，缺乏比较具体可操作的系统分析方法。 - In this paper, a plant eater-plant system with mutual interference in put out to pasture is discussed by using ODE qualitative theory, the sufficient conditions about its existence and uniqueness of limit cycle and its global asymptotic stability are obtained.
本文运用常微分方程定性理论讨论了一个放牧有相互干扰的食植系统，获得了该系统极限环存在唯一性及全局渐近稳定性的充分条件。 - A qualitative theory on the optimum allocation of system reliability
系统可靠度最优布局的一种定性理论 - Chaotic behaviours in nonlinear control and parameter-optimized systems are studied in this paper from the viewpoint of qualitative theory of nonlinear dynamical systems.
从非线性动态系统的定性理论出发，研究非线性控制和优化系统中的浑沌运动。 - The oscillation theory is the one of the important branches of qualitative theory of partial functional differential equations.
而振动性理论作为偏泛函微分方程定性理论的重要分支之一，对其进行研究具有极大的理论意义与实用价值。 - How key to the qualitative theory distinguishes the opportunity, the understanding opportunity through the ethnography, finally transforms the product opportunity gap for the product attribute and the standard flow on the discussion.
重点对如何利用群体文化学等定性理论去识别机会、理解机会，最终将产品机会缺口转化为产品的属性和标准的流程进行探讨。 - The existence of the equilibrium points in this ecosystem is discussed by using the Qualitative Theory of Differential Equation and the Method of Constructing Liapunov Function, and the global and local asymptotic stability of the equilibrium points is proved.
应用微分方程定性理论和构造Liapunov泛函方法，讨论了该系统平衡点的存在性，证明了平衡点的全局与局部的渐近稳定性。 - By use of the method of the planar qualitative theory, existence and uniqueness of the limit cycle were researched for a nonlinear model of the population of Korean pines.
借助平面定性理论的方法，讨论了一类三种群的非线性模型的极限环的存在性、唯一性问题。 - Using method of qualitative theory of ordinary differential equation, studies economic harvesting model with variable price and cost for a single population.
利用常微分方程定性理论的方法讨论了价格成本变化的单种群经济捕获模型。 - By using the methods of qualitative theory and bifurcation theory, a surge model of the axial flow compression system is analyzed more completely. The existence of periodic solutions and homoclinic orbits is proved.
用微分方程定性理论和分支理论的方法，讨论了轴流压缩系统的振动模型，证明了周期解和Homoclinic轨道的存在性。 - The nonlinear oscillations in a continuous fermentation model with variable yield are studied by means of the qualitative theory of a differential system. The conditions of the existence of multiple limit cycles are discussed.
利用微分系统的定性理论研究了一个连续发酵动力系统的多次非线性振荡问题，探讨和估计了存在多个极限环的条件。 - The qualitative theory of planar polynomial differential system plays an important role in the qualitative theory of ordinary differential equation, the studies of it is mostly concentrated on a specific system.
平面多项式微分系统的定性理论在微分方程定性理论中占有重要地位，对它的研究大多集中在一个具体的系统。 - Firstly, based on the qualitative theory, the existence and uniqueness of solutions for fractional-order financial systems are investigated.
首先依照定性理论，给出了这个分数阶系统解的存在性和唯一性的证明。 - Firstly, by using the qualitative theory of ordinary differential equation, the state of singular point and infinite singular point were discussed.
首先，利用常微分方程定性理论讨论系统有限远奇点和无穷远奇点的性态。 - In this paper, predator-prey systems with Holling ⅳ functional response is studied. With utilizing differential equations stability and qualitative theory, coincidence degree theory, we prove the global stability of positive equilibrium point, the existence and uniqueness limit cycle and existence of periodic solutions.
本文针对一类具有HollingⅣ功能性反应函数的捕食系统，应用微分方程稳定性和定性理论、重合度理论，证明了系统正平衡点全局稳定性，极限环的存在唯一性和周期解的存在性。 - Qualitative theory, which directly judges the qualitative properties of solutions by ordinary differential equations ( ODEs) themselves, is very important in the study of ODEs. The ideas of qualitative theory is influencing other mathematical branches gradually.
定性理论在常微分方程的研究中是十分重要的。它是由常微分方程来直接研究和判断解的性质的理论，其思想已经逐渐渗透到其它数学分支。 - The results of the qualitative theory are not only important evidence of the numerical computation, but can also conduce to improve the method of the numerical computation.
定性分析的结果不仅是数值计算的重要理论依据，同时也有助于改进数值计算方法。 - It will motivate the development of qualitative theory of difference equations.
本文对差分方程定性理论的发展有重要的促进作用。 - Qualitative theory of evolution is one of and the first its outstanding representative. In recent years, people are much trying to reveal the evolution of ecological systems from a scientific point. Inherent nature of its microscopic dynamics has also been deeply understood.
进化论是最早对其定性阐述的杰出代表，近年来人们则更多地试图从科学的角度揭示生态系统演化的内在本质，对其微观动力学也逐步有了深刻的认识。 - The qualitative theory of difference equation, including oscillation, existence of positive solution, asymptotic behavior, etc*, is an important part of the theory of difference equation.
差分方程的定性理论（包括振动性，正解存在性，渐近性等）是差分方程理论的重要组成部分。 - The phase graph, Poincare graph and the time-history graph of the system can be obtained by the simulation of MATLAB software. The twisting vibration laws of main transmission system in rolling process are analyzed by nonlinear qualitative theory.
通过MATLAB仿真得到了系统的相图、庞加莱截面图和时间历程图，结合非线性理论中的定性分析法分析了主传动系统轧制过程中的振动规律。