Perturbation method is used to obtain the bifurcation equation with time-delays, and numerical method is utilized to analyze the effect of time-delays on the steady state response.
首先采用摄动法从理论上推导出时滞动力系统的分叉响应方程，再采用数值模拟的方法研究了时滞参数对系统分叉响应的影响。
In the regular solution problem of the perturbation equation, the solution of convergence order is important.
在扰动方程的正则化求解问题中，解的收敛性估计是十分重要的。
Perturbation calculation in reactor physics requires the neutron adjoint eigenvalue equation.
在反应堆物理计算中，扰动计算需要中子本征值方程的共轭方程。
The difference type direction integration is used for solving dynamic - equation, its calculation assumption causes a "calculation perturbation" effects to the system.
差分型直接积分法求解动力方程，其计算假设条件给系统增加了一个“计算扰动”效应。
This paper deals with the existence and nonexistence of solutions for a critical semilinear polyharmonic equation with the second boundary and with a non-negative perturbation.
讨论了带非负扰动并具有第二类边值的临界非齐次多重调和方程的多解存在性和非存在性。
From the perturbation equation of the shaker stability, the conditions of self synchronous stable running are derived.
利用振动筛的稳定性扰动方程得到了同步稳定运转条件。
In this paper, the parabolic equation with boundary perturbation is considered. Using discussion of the solvability, the perturbed solution of original problem is obtained.
本文研究了具有边界摄动的抛物型方程。利用可解性的讨论，得到了原问题的摄动解。
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。
A brief review by the progress of advanced statistical mechanics, integral equation and perturbation theory for electrolyte and non-electrolyte solutions in recent years is presented.
用近代统计力学研究成果——积分方程理论和微扰理论简要评述了电解质和非电解质溶液的国内外研究进展。
This paper deals with the existence and nonexistence of solutions for a critical semilinear polyharmonic equation with a non-negative perturbation.
讨论了带非负扰动的临界非齐次多重调和方程多解存在性和非存在性。
A class of singular perturbation of nonlinear boundary value problem for integral differential equation involving two parameters is considered.
考虑了一类关于两个参数的微分积分方程非线性边值问题的奇摄动。
In this paper we constructed an exponentially fitted difference scheme for singular perturbation problem of hyperbolic-parabolic partial differential equation.
本文对双曲-抛物偏微分方程奇异摄动问题构造了一个指数型拟合差分格式。
Using two-flow model, small perturbation theory and solvable conditions of one-order linear equations, a dispersion equation of pressure wave in horizontal air-liquid bubbly flow was proposed.
利用两流体模型、小扰动原理和线性一阶齐次方程组有解的条件，得到了气液泡状流型下的压力波色散方程。
A surface equation of state for ionic surfactant aqueous solutions is also developed by combining perturbation theory and pressure equation.
将微扰理论与压力方程相结合，建立了离子表面活性剂水溶液的表面状态方程。
The simulated results are analyzed and compared with those predicted from perturbation theory and integral equation theory under mean spherical approximation.
模拟结果与微扰理论和平均球近似积分方程理论的预测值进行了比较。
Then a control method considering the J2 perturbation based on Encke's linearization equation is proposed to maintain the relative motion of the constellation.
进而导出了带有J2项摄动的环绕星相对运动方程，并给出了基于惯性笛卡尔坐标系运动学变量的相对轨道控制方法。
This paper also gives the differential equation of the nonlinear vibration model, and obtains its asymptotic solution by means of singular perturbation methods.
文中给出了这一非线性振动模型的微分方程，并用奇异摄动法求得了渐近解。
The effects of WOB fluctuation of drill string on the wellbore trajectory are analyzed by using stochastic finite element method and perturbation equation.
借助随机有限元方法和摄动方程初步分析了钻压波动对井眼轨迹的影响。
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。
A surface equation of state for nonionic surfactant aqueous solutions is developed by using perturbation theory and two - dimensional gaseous theory.
应用微扰理论并借鉴二维气体理论的处理方法，建立了非离子表面活性剂水溶液的表面状态方程。
A precision analytical equation to relative motion of formation flying satellites for J2 perturbation is presented.
给出了一种描述J2摄动情况下编队飞行卫星相对运动的精确解析模型。
If mass or stiffness perturbation is considered to be a harmonic excitation, one has obtained a forced vibration equation to the original structure.
将质量和刚度摄动看成是对原结构的简谐激励，获得原结构广义坐标的受迫振动方程。
According to the perturbation theory, a distribution law of matrix element in secular equation is discovered in degenerate state and wave function property of the hydrogen atom.
根据简并态微扰理论和氢原子波函数的性质，得到久期方程中微扰矩阵元的分布规律。
The variation equation of the satellite orbit elements under both J2 and drag perturbations was derived based on the Gauss perturbation equation.
基于高斯摄动方程，推导了卫星在同时考虑J2和大气摄动情况下的轨道根数变化方程。
In chapter 4, Homotopy perturbation method is successfully extended to solve time-fractional diffusion equation with a moving boundary condition and an approximate solution is obtained.
在第4章，同伦摄动的方法被成功应用到求解带有一个可动边条件的时间分数阶扩散方程并且得到了一个近似解。
I tackle the perturbation problem of the nonlinear Schrodinger equation because of its importance.
本人首先用此方法处理了自散焦非线性薛定谔方程的孤子微扰问题。
This paper gives the elastic differential equation of collapse of perforated casing, and a general formula for reduction factor of elastic collapsing by perturbation method.
建立了射孔段套管弹性抗挤性能分析控制一般方程，并采用摄动理论给出了的孔段套管弹性抗挤能力降低系数一般计算公式。
In this paper, on the basis of a single-particle model, the dispersion equation is obtained after considering the first perturbation term of relativistic energy factor.
本文从单粒子模型出发，导出了考虑相对论能量因子一级扰动量影响的色散方程。
Secondly, we have studied the effect of filters by the use of perturbation theory and derived the evolution equation of the soliton pulse in the presence of sliding frequency.
第二部分同样用微扰理论来研究滤波器的作用，导出了频域滤波孤子传输系统的脉冲演化方程；
This paper is concerned with oscillation property of solutions of a class of second-order nonlinear differential equation with perturbation.
研究了一类二阶非线性摄动微分方程解的振动性质。
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