常微分方程是大自然的语言。
The Ordinary differential equation is the language of the nature.
该常微分方程可用扩展的F展开法求解。
常微分方程中经典的存在性定理不能使用。
Often the existence axioms of classic in the differential calculus square distance can't use.
非常好的东东，可以用来求解常微分方程。
Dongdong very good and can be used to solve ordinary differential equations.
他的工作在数学上就停留在常微分方程的范围。
His work remains mathematically in the realm of ordinary differential equations.
代数拓扑；辛几何与拓扑；常微分和偏微分方程。
Algebraic Topology; Symplectic Geometry and Topology; Ordinary and Partial Differential Equations.
精细积分法是求解常微分方程的一种成熟的数值算法。
Time precision integration method is a mature numerical algorithm to solve the ordinary differential equation.
应用分离变量法，建立并求解了两个常微分支配方程。
The method of variable separation is applied and two ordinary differential governing equations are established and solved.
针对一般形式的常微分系统提出了脉冲指数镇定的概念。
Concepts of impulsive exponential stabilization for general differential systems are proposed.
常微分方程的边值问题是微分方程的一个重要研究领域。
The boundary value problem of ordinary differential equations is an important domain in differential equations.
提出求解常微分方程的一种新的数值方法——解析离散法。
A new numerical method, analytical discrete method, for solving ordinary differential equations is proposed.
研究了具有线性脉冲作用的常微分系统平衡态的稳定性问题。
The stability of equilibria of ordinary differential systems with linear impulse is discussed.
本文研究了二阶变系数线性常微分方程的一种近似求解方法。
In this paper, we study an approximate solution of the second-order linear ordinary differential equations with variable coefficients.
利用这一公式建立了常微分方程初值问题的正交多项式拟合算法。
By using this formula, orthogonal polynomial fitting algorithm for initial value problems of ordinary differential equations is established.
结果表明，该方法对于求解各类变系数常微分方程是十分有效的。
The result shows that it is effective for solving ordinary differential equation with variable coefficients.
利用常微分方程的不变式，非常方便地求解了一些量子力学问题。
Some problems of quantum mechanics can be solved easily by means of the invariant of differential equation.
常微分方程边值问题是常微分方程理论研究中最为重要的课题之一。
The ordinary differential equation singular boundary value problem is one of the most important branches of ordinary differential equations.
在建立单元的能量方程后，对方程进行变分得到墙元的常微分方程。
When energy equation for element was built, variational method was used to get ordinary differential equation.
常系数的常微分方程变换为代数方程可以用于实现传递函数的概念。
Ordinary differential equation with constant coefficients transform into algebraic equations that can be used to implement the transfer function concept.
针对类似乙肝的一类流行病的传播机制，建立较好的常微分动力模型。
Aiming at the spread mechanism of a class of epidemic diseases similar to hepatitis b, an ordinary differential dynamical model is established.
本文导出的动力学控制方程是高度非线性的STIFF常微分方程组。
The dynamic equations developed in this paper are a set of highly nonlinear STIFF ordinary differential equations.
在常微分方程论中，微分不等式是研究方程解的各种属性的有用工具。
Among ordinary differential equation equations, differential inequality is a useful tool which helps research on properties of equation-solving.
主要工具是平均技巧，利用它将问题归结于常微分不等式的振动性研究。
The principal tool is an averaging technique which enables the problem to be solved as one of establishing oscillation in terms of related funtional ordinary differential inequalities.
文摘：利用常微分方程的不变式，非常方便地求解了一些量子力学问题。
Abstract: Some problems of quantum mechanics can be solved easily by means of the invariant of differential equation.
在这种方法中，我们可以在对常微分方程进行积分的过程中自由选择步长。
In this approach we have the freedom in the choice of step size during the integration of the ordinary differential equation.
文中得到几个振动性准则和离散谱准则，并将这些结果应用到常微分方程。
Some oscillatory criteria and discrete spectrum criteria are given, and we can apply them to the ordinary differential equations.
许多环境数学模型是用常微分方程表示的，它只考虑了时间对种群密度的影响。
Many environment mathematical models are ordinary differential equations where time is considered only as its effect on population density.
讨论了解常微分方程的积分因子法在极限理论、微分学、积分学中的一些应用。
Some simple application of method of integrating factor that solve ordinary differential equation is discussed on the limit theory, differential and integral.
讨论了解常微分方程的积分因子法在极限理论、微分学、积分学中的一些应用。
Some simple application of method of integrating factor that solve ordinary differential equation is discussed on the limit theory, differential and integral.
应用推荐