查询词典 homogeneous equation

In the paper,according to homogeneous balance principle and F-expantion method,some double-periodic exact solutions of a fifth-order KdV-like equation with variable coefficients are obtained in form of Jacobi elliptic function.

利用齐次平衡原则和F-展开法，求出了一个五阶变系数KdV-like方程的一些用Jacobi椭圆函数表示的双周期解。

In the paper,according to homogeneous balance principle and F-expantion method,some double-periodic exact solutions of a fifth-order KdV-like equation with variable coefficients are obtained in form of Jacobi elliptic function .

利用齐次平衡原则和F-展开法，求出了一个五阶变系数KdV-like方程的一些用Jacobi 椭圆函数表示的双周期解。并且在极限的情况下，得到了该方程的孤立波解和三角函数表示的周期波解

A partial linear method is used to deal with non homogeneous nonlinear equation of heat conduction.

当激光波长λ=1 0 6 μm、功率密度i0 =70 0W /cm2 ，预热温度T0=5 2 3K时，经过 0 7秒，表面温度度升到 12 90K左右，再结晶厚度约为 0 5 μm

By using the homogeneous balance principle and Hermite transform, various kinds of exact solutions to a stochastic nonlinear evolution equations can be algebraically obtained in terms of the exact solutions of heat conduction equation with variable coefficients.

利用齐次平衡原则及厄尔米特变换，借助于变系数热传导方程的各种精确解，用代数的方法获得了一随机非线性发展方程组的各种精确解。

In this paper, we study the finite iterated order of growth and the iterated convergence exponent of the zero sequence of nonzero meromorphic solutions of second order homogeneous linear differential equation , and obtain some precision evaluation.

摘要研究了二阶齐次线性微分方程非零亚纯解的迭代级与零点迭代收敛指数，得到了它们的精确估计。

In chapter 3,we investigated the relationship between exponent of convergence to zero - sequence of the solution of certain homogeneous linear differential equation f + Af = 0 and the order of growth of A.

第四部分研究了一类二阶线性微分方程f+Q_1e~(p_1+Q_2e~(p_2)+Q/df=0中p_1，p_2首项系数的比值对方程解的零点收敛指数的影响，并推广到更广泛一类方程。

We further study the forced oscillation and we obtain the oscillation criteria for the unbounded solutions of the in-homogeneous hyperbolic equation.

我们还研究了强迫振动并且得到了非齐次双曲方程无界解的振动判别准则。

Firstly, the equation for stress intensity factors under static uniform pressure is used as the reference case, and then the weight function for a thick-walled cylinder containing a radial edge crack can be worked out. Secondly, the dynamic stresses in uncracked thick-walled cylinders are solved under internal impulsive pressure by using mode shape function method. The solution consists of a quasi-static solution satisfying inhomogeneous boundary conditions and a dynamic solution satisfying homogeneous boundary conditions, and the history and distribution of dynamic stresses in thick-walled cylinders are derived in terms of Fourier–Bessel series. Finally, the dynamic stress intensity factor equations for thick-walled cylinder containing a radial edge crack subjected to internal impulsive pressure are given by dynamic weight function method.

首先采用静态内压下的应力强度因子作为参考解，得到了带径向边裂纹厚壁圆筒的权函数；然后用振型函数方法推导无裂纹厚壁圆筒在冲击内压下的动应力响应，分析中将相应的弹性动力学方程解分为满足非齐次边界条件的准静态解和满足齐次边界条件的动态解的叠加，利用傅立叶-贝塞尔级数展开，推导出了厚壁圆筒内动应力的响应历程和分布规律；最后由动应力权函数方法导出带径向边裂纹厚壁筒在冲击内压下的动态应力强度因子计算公式。

In this paper, we investigate the increase-order of solutions of higher order homogeneous linear differential equation s with polynomial coefficients.

摘要研究了多项式系数高阶齐次线性微分方程解的增长级问题，得到了比前人更精确的结果。

The main purpose of this thesis is to discuss two-dimensional, monoenergetic and homogeneous transport equation.

本文讨论单群、各向同性源的2维线性中子输运方程。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失