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1)  weak maximum principle
弱极值原理
2)  extreme value principle
极值原理
1.
In this paper,the metal displacement incremental function in the deformation zone on plug drawing mill can be estimated with extreme value principle.
采用极值原理的功能平衡法,确定短芯棒拔管变形区内金属的位移增量函数,并依此建立拔制力计算模型。
3)  maximum principle
极值原理
1.
elliptic maximum principle and krein-Rutman theory with parabolic maximum principle and operator semigrou;
椭圆极值原理与krein-Rutman定理以及抛物极值原理与算子半群
2.
Generalization of Aleksandrov-Bakel man-Pucci-Krylov-Tso maximum principle and its application to viscosity solutions;
Aleksandrov-Bakel man-Pucci-Krylov-Tso极值原理的推广及其在研究粘性解中的应用
3.
From basic equations of PMSM in d-q reference frame,d and q axis currents and nonlinear torque equations were derived using maximum principle.
根据PMSM在d-q坐标下的基本方程,用极值原理建立了d、q轴电流与转矩的非线性方程组;推导出d、q轴电流与转矩的非线性方程组和d、q轴电流与转矩的表达式;实现了最大转矩电流比控制方法。
4)  extremum principle
极值原理
1.
Slope stability analysis using extremum principle by Pan Jiazheng and harmony search method;
利用潘家铮极值原理与和声搜索算法进行土坡稳定分析
2.
In the paper, the incremental function of strain and displacement of themetallic deformation region can be defined by the functional equilibrium method of extremum principle when workpiece is extruded through the cone mould.
采用极值原理的功能平衡法。
3.
The relation formulas of d,q axis currents and torque were derived via extremum principle and a simplified approximate algorithm was also given in order to satisfy the engineering application.
用极值原理推导出在输出转矩一定时所需要的最小d,q轴电流应满足的关系式,同时给出了一种简洁的工程近似求解方法。
5)  the maximum principle
极值原理
1.
Using the maximum principle,we give the location of the quenching points for the solution for a degener- ate parabolic equation,and we also show the estimate of the quenching time.
利用极值原理,我们证明了熄灭点的唯一性,并给出了熄灭时间的估计。
6)  maximum principles
极值原理
1.
By application of Hopf s maximum principles,authors have studied a class of equations in divergence form.
文章主要应用Hopf极值原理,对一类散度型方程进行研究。
2.
By means of maximum principles and Hopf boundary lemma, the prior estimates of the strict positive solutions are given at first.
本文首先运用极值原理以及Hopf边界引理讨论了一类具有Holling-Tanner项的反应扩散模型的平衡态系统在第三边值条件下的正解的先验估计。
3.
The maximum principles for functions which are defined on solutions of semilinear elliptic equations u+f(x,u,q)=0(q=|u|~2)subject to Dirichlet boundary conditions u=0 were studied by using Hopf s maximum principle,the estimate of gradient q was obtained.
运用Hopf极值原理讨论了一类具有Dirichlet边界条件u=0的半线性椭圆方程Δu+f(x,u,q)=0(q=|u|2)的解的某个函数的极值原理,利用该结论获得了解的梯度q的估计。
补充资料:弱极值


弱极值
weak extremuin

弱极值[weak extr姗um;c月a6“益,KcTpeMyM] 由泛函J(y)在曲线歹(x)(x,(x簇xZ)上达到的一个极小值或极大值J(犷),其中对所有满足以下条件的比较曲线夕(x),以下不等式之一成立: J(歹)毛J(夕)或J(了))J(夕),这些y(x)位于关于y及其导数都是。邻近的歹(x)的一个邻域中二 }y(x)一歹(x)}(。,ly’(x)一歹‘(x){簇。.曲线歹(x),y(x)必须满足给定的边界条件. 由于J(y)的极大化等价于一J(力的极小化,因而常常谈论弱极小以代替弱极值.术语“弱”强调了这样一个事实,即比较曲线y(x)不但满足在纵坐标上的:邻近条件且其导数也满足。邻近性条件(相对于强极值(strong extre订山m)情形,这时y(x)和犷(x)的。邻近性仅对纵坐标而言). 由定义,弱极值是弱相对极值(weakre】ativem加i-~),因为后者在使J(夕)有意义的容许比较曲线y(.、)的整个类的一个子集的成员中给出一个极小值.然而为简便起见,术语“弱极值”用于两者的情形.
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