differential equation

noun

1. 微分方程
   an equation that involves functions (= quantities that can vary) and their rates of change

1. This example demonstrates the use of lsode, an ordinary differential equation solver.
   这个例子展示了lsode的用法，这是一个常见的微分方程解算器。
2. Established a linearized oscillation result of the second order nonlinear neutral delay differential equation with positive and negative coefficients.
   建立了二阶具正负系数的非线性中立型微分方程的一个线性化振动性结果。
3. Using the normal solutions of the governing differential equation, the general solution of a bending beam is obtained.
   借助控制微分方程的标准基本解答组，获得梁弯曲问题初参数形式的通解。
4. The differential equation for the development and the dual differential equations for their co-existence and competition have been settled.
   建立了企业集团发展的常微分方程与企业集团群体竞争共存的耦合微分方程组模型。
5. The existence problem for a class of nonlinear retarded functional differential equation is researched.
   研究了一类非线性滞后型泛函微分方程周期解的存在性问题。
6. The partial differential equation of flow in porous medium has been studied with variational finite element method.
   用变分有限元方法对描述地下流体渗流的偏微分方程进行了分析。
7. In this paper, we discuss and replenish Liouville formula of linear differential equation.
   对线性微分方程中的刘维尔公式做了适当的补充和讨论。
8. Newton's second law can be expressed as a differential equation.
   牛顿第二定律可表达成微分方程。
9. The best research tool for the problem of option pricing is backward and forward-backward stochastic differential equation.
   研究这一问题的有力工具是倒向随机微分方程和正倒向随机微分方程。
10. This paper introduces some methods for solving constant coefficient non-homogeneous linear differential equation by means of examples.
    给出了常系数非齐次线性微分方程的几个解法，并举例说明了它们的应用。
11. At last, an application of this problem in partial differential equation is also discussed.
    最后，给出了上述问题在偏微分方程方面的一个应用。
12. In this paper, by using classification and analysis, we present some criteria for the oscillation of a class of the second order nonlinear differential equation with damping.
    本文研究了一类二阶非线性阻尼微分方程解的振动性，利用分类讨论和分析的方法，建立了两个新的振动性定理，推广和改进了已有的结果。
13. Impulse hyperbolic partial differential equation oscillation higher order Laplace operator.
    脉冲双曲型偏微分方程振动性高阶Laplace算子。
14. An important case is the linear homogeneous second-order differential equation with constant coefficients.
    一种重要的情形是常系数二阶线性齐次微分方程。
15. This paper discusses and introduces several kinds of commonly used model of stochastic differential equation and the method of solution in the groundwater movement.
    该文探讨和介绍了地下水运动中几类常用的随机微分方程模型与求解方法。
16. The existence and uniqueness about semilinear second-order differential equation are established by using global inverse function theorems.
    本文利用整体反函数理论，研究了半线性二阶微分方程周期边值问题，给出了周期解存在唯一性的充分条件。
17. The truncation errors in finite differential equation are corrected in solving the model.
    在求解过程中，将有限差分法的截断误差进行了修正。
18. This paper uses the method of establishing the convex envelope, giving a proof in Partial Differential Equation.
    本文利用构造凸包络的方法，给出了该定理偏微分上的证明。
19. In this paper, a non-linear parabolic partial differential equation system with non-local boundary conditions is investigated.
    本文第三章讨论的是如下非局部边界条件的反应扩散系统解的存在性和唯一性。
20. This paper obtains a new oscillation theorem of high-order differential equation with damping.
    本文建立了具有阻尼项的高阶微分方程新的振动定理。
21. This paper deals with the standard periodic Riccati differential equation.
    讨论了标准的周期黎卡提微分方程。
22. The gravity component in water hammer differential equation has also been discussed.
    对水击微分方程的重力项也进行了讨论。
23. Higher-order asymptotic solutions of a class of boundary value problems for third-order differential equation with a turning point;
    本文证明了一类具有转向点的三阶奇摄动边值问题解的存在性，并给出了解的一致有效估计。
24. It is shown that the common method of integrating factor of differential equation of first order is given.
    为寻找一阶微分方程的积分因子提供了一个一般方法。
25. It's a differential equation.
    这是个微分方程。
26. A two-mass dynamic model for multi-valve train system and its differential equation were established.
    建立了多气门配气系统两质量动力学模型及其微分方程。
27. The linear independent solution expression of a kind of linear differential equation;
    文章总结出了判断向量线性相关和线性无关的八种方法。
28. The method of qualitative analysis of differential equation and bifurcation is employed to study two classes of quartic systems.
    用微分方程定性分析方法和分支方法研究两类四次系统。
29. First, a minimum-energy variation model is derived from anisotropic diffusion differential equation.
    首先直接将由微分方程表示的各向异性扩散模型转化为最小能量变分模型；
30. Partial differential equation ( PDE) has become an important tool in image processing and analysis.
    偏微分方程（PDE）已成为图像处理与分析中的重要工具。

noun

1. an equation containing differentials of a function