Using the analytic method of the anisotropic element, error estimate for the second order problem is obtained without the limitation of regularity conditions.
利用各向异性单元分析方法得到了二阶问题的误差估计，从而避开了正则性条件的限制。
The two conditions of the second order nonlinear differential equation with variable coefficient are given and expounded with examples.
对二阶变系数非线性微分方程的常系数化给出两个使其可积的条件，并举例论证。
Various borehole and formation conditions were simulated using the fourth order accuracy in space and second order accuracy in time centered finite difference method.
利用空间上具有四阶精度、时间上具有二阶精度的中心差分方法，数值模拟了几种复杂井眼条件下的波场。
Taking a proper asymptotic sequence and perturbation technique, the control equations, the continuity, equilibrium and compatibility conditions of the first order and second order are derived.
采用小参数摄动法，导出了系统的一阶和二阶控制方程，边界条件，连续条件，平衡条件及相容条件。
Photo reaction of dinitropyrenes in simulated atmospheric conditions was studied. The photochemical reaction rate was found to be of the second order.
本文研究了二硝基芘异构体在模拟大气条件下的光化学反应，结果表明反应速率呈二级动力学关系。
Oscillation of a kind of second order nonlinear differential impulsive equation(The equation is abbreviated), is studied and some sufficient conditions are obtained.
用黎卡堤变换研究如下二阶非线性脉冲微分方程（ 方程式略）得到了两个判断方程振动的充分条件。
Sufficient conditions are established for the oscillation of systems of second order partial differential equations with functional arguments.
建立了具泛函变元的拟线性偏微分系统解振动的充分条件。
By using fixed point theory, in this paper we study the existence of triple positive solutions for a class of second-order differential equations with integral boundary conditions.
运用不动点定理，研究了一类带积分边界条件的二阶微分方程三个正解的存在性。
In the second one, we emphasize the sense of life in Chuang-tzu that is ignored by scholars in order to reveal the care of man's real life conditions and the value of life in Chuang-tzu.
第二部分，着重论述为学者所忽视之《庄子》之生命意识，并从四个方面详细论述，以揭示《庄子》对“人”之感性生命及其存在状况之真实关切。
The aim of this thesis is to study the existence of weak solutions for semilinear second order elliptic boundary value problems under suitable conditions through topological and variational methods.
本文主要利用拓扑度理论中的不动点定理和变分方法中的极小作用原理及其环绕形式的临界点定理在适当的条件下讨论了一类二阶椭圆边值问题的可解性。
A least-squares mixed finite element methods for the first-order system formulation of second-order elliptic problems and a formulation for the infinite boundary conditions are presented.
研究了无穷边界的二阶椭圆问题，探讨了将其转化为一阶系统的最小二乘有限元逼近方法。
The results show that the laser process in different conditions possesses the characteristics of the first order or the second order phase transition. Laser is a typical non-equilibrium phenomenon.
结果表明，在不同条件下的激光形成过程与平衡相变中一级相变或二级相变的特性相对应，激光是非平衡态有序结构形成的典型现象，并且还展示出非平衡相变的新的特点和规律。
The results show that the laser process in different conditions possesses the characteristics of the first order or the second order phase transition. Laser is a typical non-equilibrium phenomenon.
结果表明，在不同条件下的激光形成过程与平衡相变中一级相变或二级相变的特性相对应，激光是非平衡态有序结构形成的典型现象，并且还展示出非平衡相变的新的特点和规律。
应用推荐