1) separation of integral variables

积分变量分离
2) variate separated type integrating factor

变量分离型积分因子
1.
This paper gives the definition of variate separated type integrating factor μ(x,y)=p(x)q(y) and obtains.
给出了变量分离型积分因子μ(x,y)=p(x)q(y)的定义,得到了微分方程M(x,y)dx+N(x,y)dy=0存在变量分离型积分因子μ(x,y)=p(x)q(y)的充要条件和计算积分因子的公式。
4) integral variable

积分变量
1.
This paper concerns the relation of integral variables in convergent and equal improper inte- grals about unbounded function and infinite interval.
本文讨论收敛且等值的无界函数与无穷区间广义积分的积分变量间关系,提出并证明了在一定的条件下,这两个变量同存在唯一单调增加和唯一单调减少的函数关系。
5) separation of variables

分离变量
1.
Accurate solution of temperature function could be obtained through the methods such as separation of variables,Fourier series,Fourier transform and linear sup.
研究表明:可用非稳态导热数学模型表述钢坯热过程;用分离变量、傅立叶级数、傅立叶变换、线性叠加等方法,求得钢坯温度函数精确解;解析解与FEMLAB3。
2.
A perturbation theory for dark solitonic solutions of the defocusing nonlinear Schrdinger equation,which bases on the separation of variables and the construction of a complete set of squared Jost solutions is developed.
基于分离变量法和构件平方约斯特(Jost)解完备集发展了研究非线性Schrdinger(NLS+)方程的暗孤子微扰理论,给出了求微扰NLS+方程绝热解的一般方法,暗孤子参数演化方程和一级修正计算公式。
3.
Avoiding the complex and precise discussion,this article,for a type of elemental heat equation,is going to give a convenient method of solving heat equation by separation of variables and to expand the range of solvable problems with the help of Fourier series.
本文避开微分方程定性理论的复杂、严谨讨论 ,想就一类最基本的热传导方程 ,通过分离变量的方法将偏微分方程的边值问题转化为常微分方程的边值问题 ,给出一种较简捷的定解模式 ,并利用Fourier级数 ,将解题范围加以推广。
6) separated variables

分离变量
1.
The global exponential stability of equilibrium states of a class of nonlinear separated variables systems with bounded time-varying delays was investigated.
讨论了一类具有有界可变时滞分离变量系统平衡点的全局指数稳定性。
2.
The stabilization problem for a class of nonlinear continuous control systems with separated variables is investigated.
研究了一类非线性连续可分离变量控制系统的镇定问题。
3.
The global stability and instability of generalized systems with separated variables are studied by using Lyapunov s function method for general systems with separated variables,some sufficient criteria are obtained by means of analysis technique and these results popularized the existed results in relevant literatures.
借助一般可分离变量系统的Lyapunov函数方法,对一类广义分离变量系统的全局稳定性和不稳定性进行了讨论,通过分析技巧得到了由系统自身特点所给出的显示代数判据,这些结果验证方便,改进和推广了有关文献中的相应结果。
补充资料:含参变量积分
见积分学。
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