本文应用微分方程的定性方法，给出具有间隙动力系统产生自激振动的一个充分条件。
In this paper, the sufficient condition for self-excited oscillation of dynamic systems with gap is given by using qualitative method of differential equations.
应用基于状态空间法的闭式算法对机构弹性动力学微分方程进行求解。
The State-Space method is applied to compute the differential equation of the elastodynamics of mechanism.
偏微分方程在科学和工程上有着广泛的应用。
Partial differential equation is widely used in problems of science and engineering.
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.
在论文的最后，给出了倒向随机微分方程在金融中的几个应用。
At the end of the paper, we give the application of BSDE in finance.
本文应用可积的一类线性微分方程求出了非均质变截面弹性直杆振动问题的一个精确解，我们应用这一精确解验证了渐近解的精确度。
This paper gives an exact solution for free vibration of a physically nonuniform straight bar with varying section by the use of a class of integrable linear ordinary differential equation.
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.
最后，给出了上述问题在偏微分方程方面的一个应用。
At last, an application of this problem in partial differential equation is also discussed.
几何，三角，微分，积分，圆锥曲线，微分方程，和他们的多维和多元——这些都有重要的应用。
Geometry, trigonometry, differentiation, integration, conic sections, differential equations, and their multidimensional and multivariate versions - these all have important applications.
其次，给出了我们的结果对非线性随机积分和微分方程的某些应用。
Next, some applications of our results to nonlinear random integral and differential equations 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.
本文主要对积分变换在解微分方程及计算某些实积分方面的应用做了一点浅显的讨论。
In this paper, we mainly discuss the application of integral transformation in solving differential equations and calculating some real integral.
偏微分方程在图像处理中的应用是一个比较新的课题。
The use of Partial Differential Equations in image processing is a new research topic.
这类方程组常在主要与用离散数值方法解微分方程有关的实际应用中提出来。
This kind of systems frequently arises in practical applications mainly related to solving differential equations by discrete numerical methods.
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.
仿真结果表明，用本文提出的简化模型能较好地逼近基于偏微分方程的严格模型，且结构简单，易于应用。
Simulation results show that the simplified model provided by this method can satisfactorily imitate rigorous model in addition to its simple structure and feasibility for on line applications.
项目研究的是ISDEP（等离子体的随机微分方程）的应用。
The project currently hosts the ISDEP - Integrator of Stochastic Differential Equations in Plasmas - application.
应用这些正交性条件，可将主动板的运动微分方程解耦。
The orthogonality conditions can be used to decouple the motion differential equations of the active plate.
应用挠曲线近似微分方程，推导了线切割结构的载荷与位移关系，并给出了由于微分近似导致的误差。
The relation between load and displacement is deduced by approximately differential equation of flexural curve and the error resulted from this estimation is given out.
应用类比法，给出了一类五阶非线性微分方程零解的全局渐近稳定的充分条件。
In this paper, analogy method is used to discuss the global, asymptotical and stable zero solution of non-linear five-order differential equation.
将这些应用于微分方程组，证明微分方程组具有正确能解性。
Positive results are obtained in the application of the normal solvability to 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.
该算法也能应用到其它非线性微分方程中。
This algorithm can also be applied to other nonlinear differential equations.
对于受速率为常数约束的运动质点，可以应用动能定理建立其运动微分方程。
The differential equations of motion of a particle constrained to moving in a constant speed are deduced from the kinetic energy theorem.
应用常微分方程定性方法，得到了正平衡点的全局稳定性和非小振幅极限环的存在唯一性的充分条件。
By using the qualitative methods of ODE, the positive equilibrium's global stability and existence and uniqueness of non-small amplitude stable limit cycle were obtained.
应用瑞利商求解其倾覆稳定微分方程，给出了组合荷载作用时栅条稳定临界荷载计算方法。
By solving its stability different ial equation using Kayleighs quotient, the critical load calculation method for this type of paling acted on combined load was proposed.
应用有限单元法对温度场微分方程进行求解，计算过程借助有限元分析软件ANSYS完成。
The differential equation can be solved by finite element technique, and the calculation process was done by the finite element technique software ANSYS.
讨论了解常微分方程的积分因子法在极限理论、微分学、积分学中的一些应用。
Some simple application of method of integrating factor that solve ordinary differential equation is discussed on the limit theory, differential and integral.
利用分段点处电流、电压应用解微分方程算法即可较精确地计算出线路阻抗。
The differential equation algorithm can accurately calculate the impedance from the splitting point to the fault point.
利用分段点处电流、电压应用解微分方程算法即可较精确地计算出线路阻抗。
The differential equation algorithm can accurately calculate the impedance from the splitting point to the fault point.
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