The asymptotic behavior for Complex Ginzburg-Landau equation with delay is discussed. 讨论了具有时滞的复金兹堡-朗道方程的渐进性态。
Asymptotic Attractor of Navier-Stokes Equation Navier-Stokes方程的渐近吸引子
This paper considers the asymptotic behavior of delay differential equation with oscillatory coefficients, and the equation does not satisfy Yorke's 3/ 2 stability theorems. 研究了一类具变号系数的时滞微分方程的渐近性,这类时滞微分方程不满足Yorke等提出的3/2稳定定理的条件。
Gaussian beam is the asymptotic solution of wave equation concentred at the central ray. 高斯束是波动方程在特定射线附近的高频渐近解。
The Difference and Asymptotic Methods for the Equation of Elastic Vibration with A Small Parameter 带小参数的弹性振动方程的差分解和渐近解
Improvement on Partial Asymptotic Stability Theorem for Differential Equation 关于微分方程部分变元渐近稳定性定理的改进
The asymptotic behavior of nonlinear burgers-bbm equation 非线性Burgers-BBM方程解的渐近性
Asymptotic behavior of delay differential equation with oscillatory coefficients 具变号系数的时滞微分方程的渐近性
A time delay equation for sea-air oscillator model is studied. In this paper, the aim is to create an asymptotic solving method of nonlinear equation for sea-air oscillator model, employing the method of homotopic mapping, the approximation solution of corresponding problem is studied. 研究了海-气振子模型的时滞方程的模型,目的是创建一个有关海-气振子模型的非线性方程的渐近求解方法.借助同伦映射方法,研究对应问题近似解。
A generalized form of Laguerre equation is obtained by using a transform, which can be applied directly to the eigenvalue problem of an equation satisfied by the radial function of a hydrogen-like ion, and further transformation to get the asymptotic solution of the radial equation is avoided. 利用变换得到了连带拉盖尔方程的推广形式,可以直接用在类氢离子的径向波函数所满足的方程的本征值问题上,无需利用渐近解的形式对径向方程作进一步的变换。
Asymptotic Solutions of Mathieu Equation with Damping 有阻尼Mathieu方程的渐近解
Multiple Solutions for a Class of Asymptotic Linear Wave Equation without Monotonicity Hypothesis 一类没有单调性假设的渐近线性波方程的多解
The asymptotic expression of dispersion equation of cylindrical Love waves as well radius r 1 →∞ consistently tends to the dispersion equation in the horizontal half space case, and cut off frequency tends to zero. 渐近分析与数值考察都表明,井径r1→∞时,柱面Love波频散方程趋向平面双层半空间的Love波方程,柱面Love波的截止频率趋于零。
In this paper, the uniformly valid asymptotic solutions for the complex equation of the axial symmetrical problems of a/ r2> 1 toroidal shells with constant thickness in bending theory are given. 本文给出了α/r2>1等厚圆环薄壳轴对称问题力矩理论复变量方程的一致有效渐近解。
The theorem proposed implies the known results of Miller and Seifert concerning the asymptotic property of Volterra's equation for population variations of single species. It is pointed out that the main result of Miller contains substantive mistakes. 本文结果蕴含了Miller与Seifert关于单物种群体增长的Vol-terra方程的渐近稳定性的已知结果,指出了Miller的主要结果的证明是不可行的。
Estimation and Asymptotic Properties of Two-Level Structural Equation Models 两层结构方程模型的估计和渐近性质
In the second chapter, the traveling wave solution of Klein-Gordon equation has been obtained at first, then the asymptotic solution of Klein-Gordon equation with initial condition has been acquired, at last a kind of Klein-Gordon equation's stability has been discussed. 第二章首先将坐标摄动思想和参数变换思想结合起来求出Klein-Gordon方程的行波解,再将改进L-P方法直接应用到求解Klein-Gordon方程的直接渐近解,最后用多尺度法讨论了其稳定性。
In terms of mode ⅱ crack, the asymptotic differential governing equation in cracking tip fields under two different singular modes was obtained and the numerical simulation has been used. 以Ⅱ型裂纹为例,进一步推导了两种奇异性下裂纹尖端场的渐近微分控制方程,并进行了数值仿真分析。
This paper discussed the oscillatory solutions integral conditions of the delay differential equation with variable coefficient and obtained the asymptotic behave of the equation by Banach fixed point theorem. 本文给出了一阶变系数滞后型微分方程振动解存在的积分条件,同时利用Banach不动点定理讨论了该类方程解的渐近性。
The Asymptotic Analysis of Differential Equation with a Simple Turning Point 含一阶转向点方程的渐近分析
The asymptotic structure equation applied for flow separation in rotating system 旋转系统内流动分离的渐进结构方程
In the present paper, the complex equation of conical shells has been obtained in terms of two ordinary differential equations of the second order for shells of revolution. The first and second approximations of the solution have been derived by asymptotic integration of the equation. 本文由旋转壳的一对二阶常微分方程得出圆锥壳的复变量方程,利用渐近积分法推导出方程的一次近似解和二次近似解。
The asymptotic solution of dynamic equation of Dirac particle near the horizon of a rectilinearly accelerating black hole with electromagnetism is obtained. 在荷电荷磁直线加速黑洞时空中得到了Dirac粒子的动力学方程在视界附近的渐近解。
In this paper, we obtain the asymptotic solution of the general equation for laminar boundary-layer flows with suction. Formulae for calculating the displacement thickness, momentum thickness, and skin friction are then derived. 本文对于有吸除的普遍层流边界层方程求得其渐近解,然后推导了位移厚度、动量厚度和表面摩擦的计算公式。
An Asymptotic Solution of Von-Karman Equation of Large Deflection for a Shallow Shell with Rectangular Base and Supported at Four Corners 四角点支撑矩形底常曲率扁壳大挠度混合加权残数法的逼近解法
A class of nonlinear coupling system for earth-atmosphere oscillator model is studied. The aim is to create an asymptotic solving method of nonlinear equation for the earth-atmosphere oscillator model. Using the variational iteration method, the approximate expansions of the solution of corresponding problem are constructed. 研究了一类地-气耦合系统的非线性模型,目的是创建一个地-气振子模型的非线性方程的渐近求解方法,利用变分迭代方法,构造了对应问题解的近似展开式。
The Exponential Asymptotic Solution of Differential Equation 微分方程指数形式渐近解
Application of Recursion Tree in Solving the Asymptotic Order of Recursion Equation by Using Iteration Operation 递归树在用迭代法解递归方程渐近阶中的应用
The result indicates that the damping term drastically changes the asymptotic behavior of the hyperbolic equation. In other words, the energy E ( t) of the nonlinear hyperbolic system decays exponentially in time, i.e., E ( t)≤ Cexp (-λ t). 分析结果表明,阻尼项强烈地改变双曲型方程解的渐近行为,强阻尼双曲型方程组的能量E(t)随时间按指数衰减,即E(t)≤Cexp(-λt)。
By using the second-order Bessel equation and the method of steepest descent, we obtain the asymptotic behavior of the diffusion equation. 对于渐近性质,我们则利用二阶Bessel方程和最速下降法,证得分数阶奇异扩散方程是否为延伸的高斯分布。