本文证明了求解周期区域上的二阶线性偏微分方程的一致有效渐近解的正交条件是充分和必要的。
In this paper, We prove that the orthogonal condition to solve the uniform asymptotic solution of second order linear P. D. E in periodic region is the necessary and sufficient condition.
理论分析和数值实验均表明：多尺度数值方法对求解多孔复合介质周期结构的热传导和质扩散问题是可行的和有效的。
The theoretical analysis and numerical experiments show that the multiscale finite element method presented in this paper is very effective to solve above these kinds of problems.
本文试图借助复变函数方法求解在面斜对称载荷下无限各向异性弹性介质的周期裂纹问题。
This paper attempts to solve the periodic crack problems of infinitive anisotropic media for plane skew-symmetric loadings by means of the method of complex function.
提出一种稳定和精确的坐标变换和闭合积分方法，用以求解描述周期势场中布朗粒子作定向运动的乘性朗之万方程。
A stable and accurate integral closed algorithm is presented, which is used to solve multiplicative Langevin equation describing the directed motion of a particle in a periodic potential.
应用拉格朗日方程求解椭圆摆的周期，比用牛顿力学的方法简明方便。
It is more conciseness and convenience to solve the period of elliptical pendulum by using Lagrange equation than using Newtonian mechanics.
采用两种求解局部化因子的计算方法，分别计算了谐和与失谐周期波导中的局部化因子，并对其进行了分析讨论。
Two kinds of methods for solving localization factor are given. As examples, localization factors of ordered and disordered periodic wave guides are respectively calculated and discussed.
实例计算表明，相对于周期函数响应求解中通常采用的拉氏变换方法，本方法更为简便，并有广泛的适用性。
It has been proved by the example calculation that this method is simpler and more applicapable in comparison to La's transformation commonly used in resolving the response of periodic function.
首先通过变换关系和求解简单的常微分方程，得到了(3 +1)维破裂孤子方程丰富的孤立波解和周期波解。
Many of the exact solutions of (3 + 1) dimensional breaking soliton equation are obtained by using a simple transformation relation and solving the ordinary differential equation.
给出了求解具有周期边界条件色散方程近似解的交替分组迭代法。
The alternating group iterative method for the dispersive equation with periodic boundary condition is presented.
通过对方程组的求解，得到这种类型设备的自振周期及振型。
By solving equation group, the basic nature vibration period and vibration modes of this type equipment are obtained.
变序集上周期最小的最优控制可以转化为一个求解旅行推销员问题，而最优调度恰好是一类特殊的最优控制。
The optimal control of minimal period on the changing order set can be transferred into the calculation for problem of trip salesman, and the optimal arrangement is a special optimal control.
建立了间歇精馏无回流操作过程的数学模型，采用四阶龙格库塔法求解初值问题，计算无回流开工过程及间歇精馏脉动操作过程中无回流周期内各塔板浓度变化的动态特性。
The dynamic characteristic of concentration change on plates of batch rectification column in no reflux start up process and in no reflux period of pulse operation process have been calculated.
第五章，用较长的篇幅介绍了实际商业周期理论，并举例说明了它的一般求解过程。
In chapter 5, I introduce the real business cycle theory, and address its general solve solution process by an example.
用延续算法对该代数方程组进行求解，得到系统的周期解。系统周期解的初始值通过时域数值积分得到。
The system of nonlinear algebraic equations is solved by using the continuation method and its periodic solution is obtained.
本文研究了修改桥梁结构设计参数，使其自振周期和振型满足预先给定设计要求的动力特性修改过问题，提出了一种求解方法。
This paper presents a method for modifying the designing structural parameters of a bridge structure so that the bridge structure will freely vibrates at prescribed frequencies and modes.
研究了有动力通用再入飞行器的燃料最优巡航轨迹，将问题转化为求解最优稳态巡航轨迹和最优周期巡航轨迹问题。
The fuel optimal cruise trajectory of a powered common aero vehicle was analyzed. The problem was divided into determining the optimal steady-state cruise and optimal periodic cruise problems.
板条状结构的设计域具有较大的长宽比，常规的拓扑优化方法无法获得清晰的、周期性的拓扑形式或求解困难。
The design domain of lath-shaped structure has a large length-width ratio, so it is difficult to obtain a solution or a clear and periodic topology configuration using the conventional algorithm.
考虑了短生命周期产品的无形变质，为了得到离散的价格计划表，我们将产品的生命周期均匀地划分为几段，求解出每段时间内产品的平均价值。
This paper considers a two-echelon supply chain system with one distributoy, and one manufacturer, who supply the customers with one kind of short life cycle product.
该算法采用LS-SVM回归建立非线性系统的预测模型，然后，将离线模型在每个采样周期关于当前采样点进行线性化，同时利用线性预测函数控制方法求解解析的控制律。
The model of the nonlinear system is obtained by LS-SVM, the offline model is linearize at each sampling instant and uses linear predictive function control methods to obtain the control law.
电动力绳系卫星的推力幅值较小且方向固定，完成轨道机动任务的周期长，其最优控制问题的求解比较困难。
Electrodynamic tethers with low thrust-to-weight ratios can only perform orbital transfers over a large number of revolutions, which poses a real challenge to short time scale optimal control methods.
然后通过两例说明该方法在求解时变系统初值问题及周期时变系统稳态解方面的应用。
Then two examples are analysed to show its application in the initial valued problems of time-dependent systems and in the steady-state solution of periodically-time-dependent systems.
根据桨叶气弹响应的周期性，利用时间有限元法并通过旋翼配平求解桨叶的非线性气弹响应。
The blade response is calculated from nonlinear periodic equations using a finite element in time scheme. For induced inflow...
在模型的求解方法中，借鉴人寿保险精算学生存曲线理论、关系营销价值理论及微积分思想来求取渠道平均寿命周期；
Firstly, we use actuarial survivor curve, value theory of relation marketing, and calculus thought for reference to find average channel life-span;
采用GENIUS算法处理其中的TSP问题，不仅能产生较好的解，而且通过对解的周期性的扰动，进一步减少求解陷于局部优化的可能性。
GENIUS algorithm is used to solve TSP problem in this algorithm. Through this processing, not only better solution can be got, but also the likelihood of local optimal be reduced by perturbing sol...
采用GENIUS算法处理其中的TSP问题，不仅能产生较好的解，而且通过对解的周期性的扰动，进一步减少求解陷于局部优化的可能性。
GENIUS algorithm is used to solve TSP problem in this algorithm. Through this processing, not only better solution can be got, but also the likelihood of local optimal be reduced by perturbing sol...
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