条件方程

TIAN Wen-sheng（Chaigoubu Teachers School,Zhangjiakou 076150,China）Abstract:Taking account of δr≠0,through the equation of conservation of orbital angular momentum,orbital parameters equations on the mass change are re-deduced.

Ba星系统的星风吸积及污染因子刘俊红和仲池田文生摘要：用整个系统的角动量守恒条件代替切向动量守恒条件，且δr≠0，考虑轨道偏心率的高次项，推导了星风吸积质量及轨道参量变化方程。

Then the relationship which unknown coefficient satisfies from additional condition is derived. We deduce the existence and uniqueness of solution of the pseudoparabolic equation at last.

首先在假定系数已知的条件下，求出方程的形式解，然后再利用附加条件得到未知系数满足的关系式，最终给出了此类反问题解的存在唯一性。

The asymptotic behaviour of the solution for the problem is investigated under certain conditions.

在一定条件下讨论了这些问题的解当t→＋∞时的渐近行为，给出了一类高维广义KdV－Burgers型方程解"爆破"的充分条件。

This paper consists of three parts:We first consider the non-autonomous predator-prey system with both Beddirigton-DeAngelis functional response and dispersion. By using comparison theorem of differential equation, we study the permanance of the system. After that, by constructing suitable Lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system.

本文研究三方面的内容：第一部分考虑具有扩散和Beddington—DeAngelis功能反应的捕食-食饵系统，利用微分方程比较原理得到该系统一致持续生存的条件；通过构造适当的Lyapunov函数得到了该系统存在全局渐近稳定概周期解的充分条件。

Moreover, the quasi-analytical expressions of the relative concentrations at the mobile region and the immobile region are deduced respectively by using Bessel equation, Bessel function and the method of Laplace transform under the initial concentration zero and the first or second boundary condition of a semi-infinite one-dimensional space.

并分别在初始浓度为零，半无限一维空间内第一类边界条件和第二类边界条件下，利用Bessel方程、Bessel函数和Laplace变换法推导出了可动区和不动区溶质相对浓度的准解析表达式。

Accordingly, on the hypothetical condition that the material coefficients are the linear functions of tem perature and according to the theory of functional analysis, the authors use the method of combing the inner product form with convolution bilinear form, which leads to the functional of the quasistatic coupled thermo—viscoelasticity including the boundary and initial c...

因此，著者在物性系数是温度的线性函数的假设条件下，根据泛函分析理论，采用内积式与卷积双线性式相结合的方法，导出了包含所有边界条件，初始条件及热传导方程的拟静态耦合热粘弹性问题的泛函，并证明了与之相应的变分原理。

In chapter two, we study the oscillations of a kind of secon...

第三章讨论了脉冲中立型方程的振动性，通过建立一些引理，得到了方程振动的一些充分条件。

We proved, under a geometric condition given by Capietto, Mawhin and Zanolin, the infinity and some dense distribution of even or odd symmetric subharmonics for the equation with oscillatory nonlinearity.

本文讨论了具有偶或奇对称性的Duffing方程，在由Capietto，Mawhin和Zanolin给出的几何条件下，我们证明了具有振动非线性的对称Duffing方程有无穷多个对称的次调和解，并且其次调和解具有某种稠密的分布。

In this chapter,we use the improved inequality in article [9] to proved that under certain conditions,the equation (2.1.2) belongs to L·S∩L·C can be decided by the equation (2.1.1) belonging to L·S∩L·C.H.

本章利用文[9]中推广的不等式，证明了在一定条件下，方程(2.1.2)属于L·S∩L·C的问题可由方程(2.1.1)属于L·S∩L·C来判定。H。

In the description, the fluid lump and the precursor film are calculated as a whole using order parameter coupled Navier-Stokes equations, CHW (Cahn, Hilliard and van der Waales) equation and GNBC (Generalized Navier boundary condition).

流体团和先驱膜作为一个整体用与组分序参数耦合的Navier-Stokes方程， CHW(Cahn， Hilliard， van der Waales)方程和GNBC(广义Navier边界条件)进行数值模拟和分析。

By the time of its fall, most of the prisoners were writers who had written against the corruptions of the government.

到它被攻陷的时候，里面多数的犯人是写了反对政府贪污文章的作家。

The most obvious variation to ovum morphological character was that the color was changed from light green to sepiaceous in embryonic development, and all the ovums were almost hatched after 96h.

在胚胎发育过程中卵的形态特征最明显的变化是颜色从淡绿到深褐色，卵在发育96h后卵基本全部孵化。