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1)  nth-order IVPs
n阶初值问题
2)  second-order initial problem
二阶初值问题
3)  Cauchy problem
初值问题
1.
A numerical processing for Cauchy problem multi-delay functionalis difference equation;
多时滞泛函微分方程初值问题的一种数值处理方法
2.
By establishing a new comparison principle,using the method of L-quasi-upper-lower solution and the mixed monotone iterative technique,the existence and uniqueness of solutions for Cauchy problems of first order nonlinear integro-differential equations in Banach spaces are obtained.
通过建立一个新的比较原理,利用L-拟上下解方法和混合单调迭代法,研究了Banach空间中一阶非线性积分-微分方程初值问题解的存在惟一性,并给出了近似解的迭代序列和误差估计式。
3.
By establishing a new comparison principle,and using method of L-quasi-upper and lower solutions and mixed monotone iterative technique,the results of existence and uniqueness of solutions to Cauchy problems of first order nonlinear integrodifferential equations in Banach spaces are obtained.
通过建立一个新的比较原理,利用L-拟上下解方法和混合单调迭代法,研究了Banach空间中一阶非线性积分微分方程初值问题解的存在唯一性,并给出了近似解的迭代序列和误差估计式。
4)  initial value problems
初值问题
1.
Barycentric interpolation collocation method for solving initial value problems of differential equation;
重心插值配点法求解初值问题
2.
Global solutions for initial value problems of ordinary differential equation in Banach spaces;
Banach空间常微分方程初值问题整体解的存在性
3.
The solution and necessary and sufficient conditions for the existence and uniqueness of solution for initial value problems of general linear systemare studied in this paper.
研究了广义线性系统E x =Ax +f的初值问题解的存在唯一性的充要条件和求解公
5)  initial problem
初值问题
1.
Waveform relaxation of initial problem of nonlinear high-order differential equations;
非线性高阶微分方程初值问题的波形松弛方法
2.
In this paper,We first consider the initial problem of higher order non-homogeneous Linear equation with variable coefficients,and then give a general formula for solutions of this initial problem.
本文从一般方程入手,选取特殊的角度———初值问题,推导出高阶变系数线性方程求解的一般公式。
3.
The Existence of viscosity solutions of initial problem is proved for second order parabolic equations under certain conditions.
证明了在一定条件下二阶抛物型方程的初值问题的粘性解的存在性。
6)  initial-value problem
初值问题
1.
Differential equations are used to model problems in science and engineering,most of these problems require the solution to an initial-value problem.
科学与工程应用中常用微分方程来建模,提出了一种基于余弦基神经网格的计算微分方程的新方法,其基本思想是以神经网络的输出来近似初值问题中的解析解。
2.
Considering the width of the application of the inverse-value problem of differential equation, this paper has adopted the method of fractal image encoding to discuss the solution to the inverse initial-value problem of one order differential equation, which has been c.
从微分方程逆问题应用领域的广泛性出发,对前人认为求解很难的逆问题进行了深入的研究和分析,利用分形的图像编码方法讨论了一阶微分方程逆初值问题的求解,并用实际例子对该方法的精确性和有效性作了完整的说明。
3.
and some results about continuation for solution of initial-value problem of ordinary differential equation are also presented.
对定积分中值定理作出推广并应用于方程初值问题解的延拓,得出了关于解向右延拓的两个结果。
补充资料:初值问题

如果在自变量的某值给出适当个数的附加条件,用来确定微分方程的特解,则这类问题称为初值问题。

说明:补充资料仅用于学习参考,请勿用于其它任何用途。
参考词条