微分方程的积分

Therefore, it is significant to study the existence and controllability of multivalued functional differential equations and integrodifferential equations.

因此，对多值泛函微分方程和积分微分方程存在性和可控性的研究具有重要意义。

First, we derive the Slant operational matrix of integration and set up Slant conversion table, then we could solve the differential equation and the partial differential equation easily.

首先，推导出 Slant 转换的积分运算矩阵，然后建 Slant 转换表，之后我们就能轻地求解微分方程和偏微分方程的问题。

In this paper we contribute the general integral formula of second order linear differential equation with constant coefficients by means of decreasing order So we can integrate directly to solve this kind differential equation .

本文通过降阶法给出了求二阶常系数线性微分方程通解的方法，并根据特征根的不同情形给出了具体的通解公式，即可通过积分直接求微分方程的通解。

Under some conditions,the effective method in the second kind of line integrals and the differential equation is derived by using the improvising differential method of indefinite integral.

给出了在一定的条件下，利用不定积分的凑微分法得到了第2类曲线积分及微分方程的一些较为方便的解法

The integral inequality is a useful tool when we study the stability theory of differential equation, especially when we study the stability, the estimate of solution and the boundedness of differential equation.

在研究微分方程稳定性理论中，尤其在探讨微分方程的稳定性，解的估计及有界性的过程中，积分不等式是一强有力的工具。

In the method,thematrix exponential is calculated precisely by using 2N algorithm and the integration offunctional matrix by parts is applied.

首先依据常微分方程的经典理论，运用指数矩阵的2N类精细算法及函数矩阵的分部积分法建立数值求解常微分方程的一般方法。

The subject of equations in mathematical physics includes partial differential equations and integral equations arise in physics and engineering.

数学物理方程主要研究物理或工程问题中所涉及的各种偏微分方程和积分方程。

In Chapter Ⅲ, by considering functions H k that may not have nonpositive partial derivative on s and employing integral averaging technique and Hardy inequality, the oscillation for a class of high order nonlinear differential equations and high order nonlinear damped differential equations is discussed, new oscillation criteria are established.

第二章利用广义Riccati技巧、积分平均技巧以及微分不等式理论，讨论了一类二阶非线性常微分方程的振动性，得到了若干新的振动准则，并讨论了该方程具有强迫项时解的渐近性态。

By adapting the existed numerical methods for ordinary and delay differential equations, and matching certain suitable numerical quadrature formulas, Rosenbrock methods are constructed for delay integro-differential equations, the stability criteria of the methods are derived.

通过改造现有常及离散型延迟微分方程的数值方法，并匹配以适当数值求积公式，构造了求解时滞积分微分方程的Rosenbrock方法，导出了其稳定性准则。

Multivalued functional differential equations and integrodifferential equations are an important branch in the theory of nonlinear analysis, which have wide applications in many fields such as engineering, economics, optimal control and optimization theory.

多值泛函微分方程和积分微分方程是非线性分析理论的一个重要分支，它在工程、经济、最优控制及最优化理论等领域有着广泛的应用。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。