推导了电视塔-桩基相互作用体系的地震反应方程，并对方程的阶数进行了缩减；
The equation of earthquake response for the system of TV tower-pile foundation interaction is derived, and its order is reduced.
计算量采用修正标量位，这样在同样的节点数下相对于矢量位它可以减少联立方程的阶数。
The modified scalar potential is used to reduce the order of the coupled equations in the comparison with the vector potential under the same node number.
这是一个用于一阶和逻辑方程序的自动理论证明器，用于支持语言处理中的推理。
This is an automated theorem prover for first-order and equational logic, used to support inference in language processing.
本文试应用求解一阶线性微分方程的方法导出几类常见的函数项级数的求和公式。
The sum formulas of several kinds of ordinary series with function term are deduced by using the method of solving linear differential equation.
本文在梁方程的基础上研究了一类具有非线性阻尼项和力源项的四阶波动方程的初边值问题。
In this paper, the initial-boundary value problem of a kind of nonlinear fourth-order wave equations with damping and source terms is studied on the base of Beam equation.
本文提出一种改进边界元法，它使形成的边界元方程不隐含本征量，避免大阶数矩阵的转置。
A modified boundary element method is proposed. In the approach, the matrices in the formed boundary equation implicitly contain no eigen parameter.
从NS方程出发，采用二阶精度的NND格式对塞式喷管的流场进行了数值模拟。
The numerical simulations of the flow field around and aerospike nozzle cell were completed base on N S equations with Second order NND scheme.
根据一阶拟线性偏微分方程组的特征理论，讨论内弹道两相流方程组的类型。
Following the theory on characteristics of first order quasi-linear partial differential equations, classification of the balance equations for two-phase flow in interior ballistics is discussed.
利用算子方程的一些抽象结果来讨论四阶奇异边值问题。
By some abstract results of operator equation, the fourth order singular boundary value problem was discussed.
用微分方程定性理论结合数值模拟方法研究了一类非线性四阶波动方程的纽结波。
The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the kink waves of a nonlinear quartic equation.
采用了压缩性的坐标变换后，推导得到了五个一阶导数的微分方程组。
Using a compressibility coordinate transformation, a set of the first derivative differential equations has been derived.
本文给出了数值求解一类偏积分微分方程的二阶全离散差分格式。
In this paper, the second order fully discrete difference method for a partial integro-differential equation is considered.
在此方程中，弥散项和对时间的导数为分数阶导数所代替。
In this equation, the diffusion is a fractional order derivative of time and space.
探求一类变系数方程的求特解的方法以及对方程的降阶。
The paper investigates the solution of a class of linear homogeneous differential equations with varied coefficients and methods of decreasing order of the DE.
边界单元法降低了求解空间的维数，减少了离散线性方程组的阶数，输入数据比较少，而工作效率高。
This method reduces the number of space dimension, makes the equation system lower order, less data input and higher efficiency .
研究具色散和耗散项的四阶波动方程的初边值问题。
The initial boundary value problem of fourth order wave equation with dispersive and dissipative terms is studied.
本文旨在研究求解非凸约束优化问题的基于二阶导数的微分方程方法。
The aim of the dissertation is to study second order derivatives based differential equation approaches to nonconvex constrained optimization problems.
状态方程表示了阶比幅值的平滑变化，观测方程表示了测量误差和噪声。
Smooth order amplitude variance was expressed by using state equation, and measurement error and noise were expressed by adopting observed equation.
经典的数理方程大量的是二阶线性偏微分方程。
Classical mathematical equations is the large number of second-order linear partial differential equations.
其中预测及校正方程均采用特殊的矩阵降阶技术求解，所需求解的方程组维数只相当于原来的一半。
All equations in prediction and correction step can be solved using matrix reduction technique, which significantly reduces the dimension to half of the original.
可分离变量的一阶微分方程是一类特殊的一阶微分方程，它在实际中有着广泛的用途。
Separable variables are a special class of first order differential equations, which has a wide range of USES in practice.
先给出这些问题的提法，然后使用列紧性原理和极值原理证明了上述二阶椭圆型方程边值解的存在性和唯一性。
Fristly the boundary value problems for the equations is formulated, and then by using the compactness principle, the existence of solutions for the above problems is proved.
本文研究了两类具体含逐段常变量微分方程的伪概周期解的存在性问题和一类一阶微分方程组的数值解。
In this paper, the existences of almost periodic solutions and pseudo almost periodic solutions for several classes of functional differential equations are investigated.
用泛函的方法研究一类二阶微分方程周期解的存在性。
We studied a class of two order differential equations by means of the functional method.
此方法大大减少了公式推导量，而且得到的是降阶的耦合方程组。
This method obviously simplifies the derivation of formulas, and obtains the coupled equations with lower order.
在多输入系统控制中提出了全程滑模变结构控制方案和利用等效滑模方程进行的递阶滑模变结构控制方案。
A global sliding model variable structure control approach and a sort of hierarchical switching scheme used with equivalent equation are proposed for a class of multi-input systems.
本篇硕士论文主要研究了一般形式的二阶和三阶非线性和线性差分方程的边值问题。
This thesis mainly studies the problem of the boundary value of second-order and third-order nonlinear and linear difference equation.
本篇硕士论文主要研究了一般形式的二阶和三阶非线性和线性差分方程的边值问题。
This thesis mainly studies the problem of the boundary value of second-order and third-order nonlinear and linear difference equation.
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