Moreover, the derived equation, and the stability theory of differential equations to explain the actual meaning of equations.
再者，求出方程的解，并用微分方程解的不变性理论诠释方程解的实践意义。
The periodic wave solutions of the generalized CH equation are investigated by using bifurcation theory of differential equations and numerical simulations.
用微分方程分支理论和计算机数值模拟方法研究广义CH方程的周期波解。
Aiming at the solving problem of equilibrium solution of this nonlinear model, geometry theory of differential equations is adopted, and the relative calculation formula is given.
采用微分方程几何理论分析河流综合水质模型的基本方程，探讨了河流综合水质模型的平衡状态解的求解方法，并给出相关计算公式。
In the waveguide problems of this paper, results obtained cannot be directly found in the existing literature and have been worked out from fundamental theory of differential equations.
在本文所讨论的波导问题中，所得结果不能直接从现有文献中导出。我们已经从基本微分方程理论中算出了这些结果。
The theory of binaries, in terms of differential equations, is treated for the first time in this book.
二进制的理论，就微分方程而言，第一次在这本书里被对待。
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.
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。
This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations.
这门研究生程度课程是对微分方程数值解法的应用和理论的高级导论。
However it is well-known that the complexity of differential equations in Taylor's theory compelled us to use the troublesome numerical solution.
但是，泰勒理论由于微分方程的复杂性，求解过程都是数值计算，这样对使用其结果时深感不便。
By using the analysis solution of differential equations based on thin shell theory, the stresses in pressurized long cylinder or piping stiffened with stiffeners were analyzed.
对用加强环加强的受压长圆筒或管道(简称加强圆筒)应用薄壳力矩理论微分方程的解析解求解加强圆筒中的各项应力。
With the ordinary theory of Heat Exchange in physics this essay visualizes the essence of second-order homogenous linear partial differential equations.
本文利用物理学中常见的热传导理论，形象地阐释了二阶齐次线性偏微分方程的本质。
According to the invariance theory of partial differential equations under the infinitesimal transformations, the symmetries and conserved quantities of classical fields are studied.
根据偏微分方程在无穷小变换下的不变性理论，研究经典场的对称性质和守恒量。
The results show that the solution of differential equations' MWR is successful, and the precision of the shear deformation theory of cylindrical shells is satisfactory.
结果表明：本文提出的控制微分方程的加权残值法解是成功的；而且圆柱壳的剪变形理论有满意的精度。
This paper deduces a water quality model by using the theory of random differential equations, and proposes a stochastic method for water quality management at a river.
运用随机微分方程理论，推导了一个水质模型，提出了河流水质管理的随机规划方法。
The general equations of principal curvature derived from differential geometry overcame the limitations of previous equations derived from the theory of elastic thin plate with small deflection.
由微分几何学原理得到计算主曲率的一般公式，克服了由薄板小扰度弯曲理论得到的主曲率计算公式的局限性。
The theory of stability of differential equations is used to analyse the 'effect of reversal slope of pitch moment to the stability of aircraft.
本文用微分方程定性理论来分析俯仰力矩曲线随迎角变化的“勺形”对飞机飞行稳定性的影响。
Based on stability theory in stochastic differential equations, a sufficient condition on the existence of stochastically guaranteed cost controllers is derived.
基于随机微分方程稳定性理论，给出了随机保性能控制器存在的充分条件。
Non geodesic trajectory mandrel rotation and payout eye motion equations for fiber reinforced composite pressure vessels are derivated by theory of differential geometry.
本文用微分几何理论推导出纤维缠绕复合材料压力容器的非测地线缠绕轨迹、包角方程及绕丝头运动方程。
The governing ordinary differential equations of composite stress are given by using shear-lag theory.
通过剪切滞后模型建立了复合材料应力场的控制微分方程。
Based on theory of hyperbolic linear partial differential operator, the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied.
基于双曲型线性偏微分算子理论，引入并研究了具有非零初始值的拟线性双曲型方程的定解问题。
In this paper, according to the risk neutral pricing theory, the reciprocal stochastic differential equations and the general pricing formulas of the four types of cross-cur.
本文受此启发，运用风险中性定价原理，利用偏微分方程的方法，求出了四类汇率联动期权的定价公式，为实践者提供了理论上的参考价值。
As indicates by the application, the practice shows the method not only develops the reverse theory and method of differential equations but also has the practical value of application.
实际应用表明，该方法不仅丰富了微分方程反演理论和方法，而且具有生产实用价值。
This representation relies only on the displacement components of the mid_plane, which are governed by a set of two_dimensional differential equations similar to those in the classical plate theory.
这一表达式仅依赖于中面的位移分量，后者由一组类似于经典板理论的二维微分方程控制。
Exact response of damped linear vibrating systems to arbitrarily excitation is obtained according to theory of ordinary differential equations.
利用常微分方程组理论在较一般条件下求出了线性有阻尼多自由度振动系统对任意外激励的精确响应。
Based on the tiny deflection theory of the elastic thin plates, the differential equations of the cellular voided plates are given.
以弹性薄板小挠度理论为基础，推导出了蜂窝式空心板的微分方程。
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。
The oscillation of neutral functional differential equations has important implications in both theory and application.
中立型泛函微分方程的振动性在理论和应用中有着重要意义。
From the theory of conical shells, a set of the first-order differential equations for the shells of revolution are derived. The discrete-variable method is used to solve the differential equations.
从锥壳理论出发，导出计算旋转壳自由振动的一阶微分方程组，采用离散变量法进行求解。
Based on the minimum potential theory of energy method, adopting Eular equation, the governing differential equations of curved beam were established.
基于能量法中的最小势能原理，结合欧拉方程建立了构件变形后的中性平衡微分方程。
Conditions for the existence of solutions to periodic and isolated waves of limited amplitude are directly obtained based on qualitative geometric theory for ordinary differential equations.
利用微分方程解的几何定性理论，直接得到该方程存在有限振幅的周期波与孤立波解的存在条件。
The local behavior of the surface oil flow patterns is analyzed with phase plane theory of ordinary differential equations. Also the surface oil flow patterns are locally classified.
在此基础上利用微分方程相平面理论分析表面油流谱的局部特性和对流谱局部地进行分类。
应用推荐