常微分方程边值问题是常微分方程理论研究中最为重要的课题之一。
The ordinary differential equation singular boundary value problem is one of the most important branches of ordinary differential equations.
采用常微分方程理论研究了无旋波近似下双光子J-C模型系统的时间演化。
The time evolution of system in two photon Jaynes Cummings (J C) model without rotating waves approximation (RWA) is obtained by using the theory of ordinary differential equations.
利用随机微分方程理论，对一类具有随机特征的风险投资组合问题进行深入研究。
With the theory of stochastic differential equation, the authors discuss a problem of a class of risk investment portfolio with stochastic character.
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。
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.
结合分离原理和正倒向随机微分方程理论，我们得到了显式的可观测的Nash均衡点。
Combining the separation principle with the theory of forward and backward stochastic differential equations, we obtain the explicit observable Nash equilibrium point of this kind of game problem.
在该系统非负弱解存在的基础上，利用常微分方程理论，进一步讨论该系统解的半稳定性。
On the premise that the system there exists non-negative weak solution, the paper further discusses the semi-stability of the system solution using the theory of ordinary differential equations.
然后，应用脉冲微分方程理论里的比较系统方法，首次用来研究部分线性系统的投影同步问题。
Then, we first use the impulsive control approach to control the scaling factor of projective synchronization onto any desired scale.
利用柯西黎曼条件和偏微分方程理论，得到了一类非线性RH问题的求解方法，并通过实例表明该方法是可行的。
In this paper, we get a method to solve a non-linear RH problem by the Cauchy-Riemann conditions and the theories of partial differential equation.
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。
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.
因此，研究倒向随机微分方程具有重要的理论意义和应用价值。
Therefore, the research on backward stochastic differential equation is of considerable theoretical significance and practical value.
本文利用微分方程稳定性理论，研究了城市交通容量中两种交通方式的竞争关系，它们适合于根舍模型；
Using the theory for differential equation stability, this paper investigates a struggle relationship between two traffic modes in city traffic volume , and shows they suit Gause' s model.
二进制的理论，就微分方程而言，第一次在这本书里被对待。
The theory of binaries, in terms of differential equations, is treated for the first time in this book.
对微分方程更近代的研究是关于定性理论。
The more recent research on differential equations is concerned with the qualitative theory .
现在，虽然这一切听起来很简单，在理论上，明显有相当数量的实际问题之前，必须克服偏微分方程的工作，可建。
Now while this all sounds pretty simple in theory, there are clearly quite a number of practical problems to be overcome before a working PDE can be built.
利用不动点理论，给出了一类半线性微分方程有界的调和伪概周期解存在的充分条件。
Using fixed point theorems, in this paper we give sufficient conditions of the existence of bounded mild pseudo almost periodic solution for some semilinear differential equations.
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.
从理论分析到微分方程的建立做了详细的推导，并写出了刚度矩阵、阻尼矩阵和质量矩阵。
It is detailed derived from theory analysis to differential equation, and its damping matrix, rigidity matrix and quality matrix are given.
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。
The oscillation of neutral functional differential equations has important implications in both theory and application.
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。
This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations.
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。
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.
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。
Exact response of damped linear vibrating systems to arbitrarily excitation is obtained according to theory of ordinary differential equations.
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。
The theory of stability of differential equations is used to analyse the 'effect of reversal slope of pitch moment to the stability of aircraft.
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。
The periodic wave solutions of the generalized CH equation are investigated by using bifurcation theory of differential equations and numerical simulations.
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。
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.
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。
According to the invariance theory of partial differential equations under the infinitesimal transformations, the symmetries and conserved quantities of classical fields are studied.
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.
利用常微分方程定性理论的方法讨论了价格成本变化的单种群经济捕获模型。
Using method of qualitative theory of ordinary differential equation, studies economic harvesting model with variable price and cost for a single population.
运用倒向随机微分方程数学方法，建立了动态资产份额定价理论模型。
The Dynamic Asset Share Pricing Theoretical Models are set up according to modern finance theory using Backward Stochastic Differential Equation Theory.
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。
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。
Based on stability theory in stochastic differential equations, a sufficient condition on the existence of stochastically guaranteed cost controllers is derived.
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