Usually these equations can be solved using the method of perturbation approximation in quantum mechanics.
通常利用量子力学的时间微扰法可求得这类方程一次近似解的黄金定律。
By using fundamental solution matrix and method of perturbation, we give the expression of general solutions for two classes of differential equations.
运用基解矩阵和摄动方法，给出了两类微分方程的通解表达式。
Adopting method of perturbation theory dielectric tensor of the system is derived, MMP shows a completely different form of the dielectric tensor with the static magnetic plasma.
利用微扰理论导出了系统的介电张量，研究发现，MMP具有完全不同于静态磁化等离子体介电张量的形式。
In this paper, a singular nonlinear elliptic boundary value problem which is very important in applied science and pure theory was discussed by the method of perturbation, sub-and super-solution.
本文利用摄动方法和上下解方法，讨论了一类奇异非线性椭圆边值问题，它具有很好的应用背景和理论意义。
This is combined with a Numerical Perturbation Method that quantifies the configuration and connection-weight status of the network.
这种网络与数字干扰方法相结合，从而量化了机器人的结构与重量的关系。
The matrix perturbation method is effective to solve this kind of problem.
矩阵摄动法是解决这种问题的有力工具。
Combining boundary element method (BEM) with the perturbation theory, this paper presents a perturbation method based on BEM for shape design sensitivity analysis of elastic structures.
本文将边界元方法与摄动法相结合，提出了计算结构响应对其形状改变的灵敏度的边界元摄动法。
This paper presents a new perturbation method of analysis to solve large deflections problems of plates and shells-Free-Parameter perturbation method (FPPM).
本文的主要目的是介绍一种求解轴对称板壳大挠度问题的新的正则摄动方法——自由参数摄动法。
The natural longitudinal or torsional vibration of a wedge-shaped shaft is studied with perturbation method. The vibration mode function and the frequency characteristic equation are derived.
采用摄动法研究了楔形杆轴的固有纵扭振动，并且推导出了其固有纵扭振动的振型函数及频率特征方程。
In this paper, problems of bending of thin plates under the combined action of lateral loading and in-plane forces are studied by means of perturbation method.
本文应用摄动方法研究了薄板在侧向载荷和中面力的联合作用下的弯曲问题。
On the basis of analyzing a typical closed-loop damping curve method, this paper proposes a perturbation method used to determine the parameters of a system when its behavior changes continuously.
在详细分析一种典型的闭环衰减曲线法的基础上，提出将摄动法用于系统特性发生变化时的参数确定中。
A subspace perturbation method for structural dynamic modification of several groups of coupled-modes vibration systems is studied.
本文研究了多组耦合模态结构动力学参数修改的子空间摄动法。
The advantage of this method in solving the perturbation equation is also discussed.
并讨论了用这种方法求解摄动方程的优越性。
The modal superposition method is often used for computing the Perturbation of eigenvectors in the modification for structural and correCtion for model.
模态展开法是计算特征向量摄动量的常用方法之一，但当高阶模态被截断时。
A singular perturbation method was applied to a model reduced order of a binary distillation column, and an aggregated model for designing a controller is deduced.
将奇异摄动方法应用于一个二元精馏塔的模型降阶，得到了一个用于控制器设计的集结简化模型。
To solve such problems, a special method of calculation "Perturbation method for Variable Boundary problems" has been put forward, including the corresponding condition of convergence.
这里提供一种解决这类问题的计算方法——“变动边界微扰法”，并给出了微扰过程的收敛条件。
A matrix perturbation method for the calculation of errors in precision electro-magnetic measuring circuits caused by small variation of circuit parameters is described in this paper.
本文提出用矩阵微扰法计算精密电磁测量线路的参数发生微小变化时引起的误差。
In this paper, the boundary layer function method, an effective method for the solution of singular perturbation, was presented and used to deal with the heat transfer in thin rectangular plates.
本文介绍了求解奇异摄动问题的一种有效方法——边界层函数法，并用此方法研究了在薄矩形板中的热传导问题。
The existence and uniqueness theorem of its solution is proved by the perturbation method and the estimation of error for its approximate solution is given.
然后利用摄动方法证明了这个问题解的存在唯一性，同时给出了解的渐近展开和误差估计。
This paper by use of perturbation method found asymptotic periodic solution of piston stroke, and found rational periodic for periodic external force.
本文用摄动方法求得了活塞行程的渐近周期解，且为周期性外力求出合理的周期。
The paper reviews Some applications of the homotopy perturbation method to nonlinear differential and integral equations.
本文一篇综述类文章，综述了同伦摄动方法及它在非线性微积分方程中的某些应用。
This confirms the accuracy of the perturbation method which we adopted.
这就证明了我们采用的摄动法有较好的准确性。
A method of determining bifurcation directions at a double eigenvalue is presented by combining the finite element method with the perturbation method.
本文结合有限元法和摄动法给出了一个确定薄板在二重特征值处分支方向的方法。
Based on the theory of surface diffusion, a finite element method was developed to simulate shape evolutions of two-dimensional microcracks with surface perturbation.
根据表面扩散控制下物质迁移规律，建立有限单元法，对裂面形貌扰动下二维微裂纹演变过程进行数值模拟。
This study illustrated that the theorem could be also applied in a case where the sources and sinks are on the circle by means of the regular perturbation method.
经典圆定理只证明了奇点位于圆外的情况，本文用正则摄动法证明了源和汇位于圆上时，圆定理也是适用的。
The rotating Angle and vibration of rigid-flexible coupling are solved by the perturbation method.
对刚柔耦合回转角和刚柔耦合振动的微分方程，则通过摄动法求解。
The asymptotic solutions composed of finite terms of elementary functions are obtained by regular perturbation method.
采用正则摄动法，求出了由有限项初等函数所构成的渐近解。
This method can improve that of perturbation calculation, benefit discussing time behavior of solution, and get some new results.
此方法能改善微扰计算处理，有利于讨论解的时间行为，并得到某些新的结果。
The natural frequencies of the vibration system are obtained by using the iterative perturbation method.
应用矩阵迭代摄动法，对摆动活齿传动系统的固有频率进行了求解和分析。
The natural frequencies of the vibration system are obtained by using the iterative perturbation method.
应用矩阵迭代摄动法，对摆动活齿传动系统的固有频率进行了求解和分析。
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