查询词典 integral of a differential equation

In this paper a class integral differential equation on Banach space is studied.Existence,uniqueness and regularity of mild solutions are proved.

研究了Banach空间上的一类非线性脉冲积微分方程温和解的存在唯一性以及其正则性。

Based on the simplification of differential equation of driving function and the amendment of control law with error integral, the problems of controller design for a class of position serve system are discussed from the angle of practical use in engineering.

基于对驱动函数微分方程的简化和对控制律的误差积分修正，从工程实用角度讨论一类位置伺服系统控制器的设计问题。

The dissertation presents a number of methods and theory involving in diffraction integral, Fourier transform, directly solving differential wave equation, vector analysis, which can be used to study ultrashort pulsed beams propagating in free space, linear dispersive

现将本论文所得主要结论总结如下：基于瑞利—索末菲衍射积分、角谱法和复解析信号法，推导出了等束腰宽度超短脉冲高斯光束在自由空间的严格的传输方程和傅里叶谱，适用于几个光周期甚至一个光周期以下的超短脉冲光束和大衍射角情形，而不产生空间奇异

The method can beused to solve the integro-differential equation included fractional integral orfractional derivative in a long history and the difficulty of storing all history data isovercome and the error can be controlled.Two numerical examples are presented.

利用该方法可对包含分数积分和微分的积分-微分方程进行较长时间的数值模拟，克服了存储全部历史数据的困难，并能对计算误差进行控制。

A systematic study on computing the integral curvature line on NURBS surface is presented. Discrete normal is used to simplify calculation of the second fundamental form of the surface, resulting in accelerating the Euler iteration process in solving the differential equation of curvature line. Discrete points on the curvature line are then obtained and approximated by an explicitly presented B-spline curve on the NURBS surface using singular mixed interpolation and capable of controlling the error within a given tolerance.

对NURBS曲面的曲率线的积分进行了系统的公式推导，并利用NURBS曲面的离散法向量有效地简化了曲面第二基本量的计算，加速了Euler法迭代求解曲率线微分方程的过程；在求得曲率线上的离散点集以后，应用奇异混合插值技术，在可控精度内把曲率线用显式直接表示为位于NURBS曲面上的B样条曲线。

MATLAB程序-used method for multiple preoperational Ertaila equation here as a variable element of the equation, As the same time contain differential equations and integral, the general solution is definitely difficult.

用LAPLACE方法求解多维沃尔泰拉方程，此处为一个变元的方程，由于该方程同时含有微分和积分，一般求解有一定的困难。

In this paper,a new structural method of supplementary function is introduced, and the method is used to prove differential identical equation or integral inequality.

本文给出辅助函数新的构造方法，并将它运用于微分恒等式和积分不等式的证

This paper makes use of a Lyapunov function and a nonlinear integral inequality of Gronwall-Bellman-Bihari type to study the asymptotic hehaviors of solutions of a second-order nonlinear functional differential equation.

本文利用李雅普诺夫函数及一个Gronwall—Bellman—Bihari型的非线性积分不等式，研究一类二阶非线性泛函微分方程解的渐近性态，在第一部份，给出一组方程的全体解可延展到t=+∞的充分条件及三组方程的全体解有界的充分条件。

Concerned in this paper are the eigenvalues and the corresponding eigenfunctions for the crosswise vibration equation of a bean with continuous load, which can be related to a differential integral equation.

本文研究了附加连续荷载梁的横向振动方程的特征值及特征函数的性质。在一定的假设之下，附加连续荷载梁的横向振动方程对应一个微分积分方程。

First,the 3-d dynamic equations in cylindrical coordinate for transversely isotropic saturated soil were transformed into a group of governing differential equations with 1-order by the technique of Fourier expanding with respect to azimuth,and the state equation was established by Hankel integral transform method,furthermore the transfer matrixes within layered media were deriv...

首先，通过方位角的Fourier变换，将圆柱坐标系下横观各向同性饱和土的三维动力方程转化为一阶常微分方程组，基于径向Hankel变换，建立问题的状态方程，求解状态方程后得到传递矩阵；其次，利用传递矩阵，结合层状饱和地基的边界条件、排水条件及层间接触和连续条件，给出了任意简谐激振力作用下层状横观各向同性饱和地基动力响应的通解；然后，按混合边值问题建立层状饱和地基上弹性圆板非轴对称振动的对偶积分方程，并将对偶积分方程化为易于数值计算的第二类Fredholm积分方程，并给出了算例。

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。