条件方程

The balance equations as well as all boundary conditions concerned have been deduced from functional stationary value condition.

由泛函驻值条件可以导出所给问题的平衡方程及全部边界条件。

Because free surface and its radiation condition are satisfied automatically, the Kelvin source is only distributed on both interface and body surface on which boundary integral equation is established.

由于自由表面条件及其辐射条件已经满足，所以只需在内界面和物面上布置格林函数和建立边界积分方程。

In the study of the Lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. Outside of a large disc, using the symplectic transformation of the Hamilton system to estimate the iteration of the successor map. Applying the Moser's small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded. We will estimate the successor map of the equation directly for proving the unboundedness of the bouncing solutions.

在碰撞运动的Lagrange稳定性的讨论中，给出了渐近线性方程碰撞解有界或无界的条件，在充分大的圆盘外，通过Hamilton系统的辛坐标变换的角度平均来估计后继映射的迭代，应用Moser小扭转定理得到不变曲线从而给出在一定条件下碰撞解有界的证明，碰撞解无界性的证明将采用直接估计后继映射的方法给出。

Since then,by applying the Leray-Schauder continuation theorem,nonlinear alternative of Leary-Schauder,coincidence degree theory,and Krasnoselskii's fixed point theorem,many researchers have studied more general nonl...

研究了一类二阶非线性常微分方程的三点边值问题多重正解的存在性问题，在非线性项不满足超线性或次线性的条件下，利用不动点指数定理得到了至少存在两个正解的几个充分条件。

By using the new method, it relaxes the restriction of the related results in the Pa-per[31],extends the mainly results of the Paper[31], obtains the existence and uniqueness of a positive periodic solution, proves the existence and the uniform asymptotic stability of the almost periodic solutions of the studying model.

通过采用新的方法，减弱了文[31]的相应定理的条件，同时考虑了新的因素，推广了文[31]的结论，得到了所讨论方程的周期解存在的充分条件及其概周期解存在的充分性和一致渐近性。

The muscle is simulated by elastic foundation and put into the wall of managing having a viscid condition and the motion of fluid by the linear momentum equation and the continuity equation, and therefore, the governing equations are derived.

由肌肉弹性假设为弹簧来描述管壁运动，也加入了管壁具有黏滞性的条件，而且配合流体的线动量方程以及连续条件，推导出统御方程式。

Derive the requirement to strain and displacement of Patch Test. Give the relationship between weak form of continuity equation and the Patch Test, through which the hybrid element method and quasi-conform element method are analyzed. Refined direct stiffness method and generalized conforming elements are also analyzed about why they can pass patch test. At last, as an example of using the requirement of patch test for displacement, improved the BCIZ Element.

得出分片试验对位移函数和应变函数的要求，这些要求便是一个好的有限元法所应保证的；分析了几何方程弱形式与分片试验的关系，借此分析了杂交元、拟协调元如何满足这些要求，以及在满足这些要求的同时产生的对其他条件的影响；分析了精化直接刚度法、广义协调元和双参数法如何保证分片试验的满足；最后作为位移条件的应用例子，改进了BCIZ元。

With the help of the theory of difference equation and some subtle analysis, sufficient conditions which ensure the permanence of the system are obtained. By constructing a suitable Lyapunov functional, sufficient conditions which ensure the global attractivity of the system are obtained.

首先利用差分方程的有关理论以及技巧性的计算，得到保证该系统永久持续生存的充分性条件；其后通过构造适当的差分Lyapunov泛函，得到保证该系统全局吸引的充分性条件。

By using the comparison theorem of differential equation, we study the permanance of the system; After that, by constructing sutiable Lyapunov functional, we obtain some sufficient condition which guarantee the global attractivity of the system.

利用微分方程比较原理得到保证系统持续生存的条件；通过构造适当的Lyapunov泛函得到保证系统正解全局吸引的充分性条件。

The introduction of nonlinear advection into the model weakens the intensifying of maximum tangential wind with relative to the initial disturbance azimuthally wave numbers and intensity .2 An f-plane quasi-geostrophic barotropic vorticity equation model of high resolution is designed in this paper in order to investigate the characters of vorticity propagation and the effect of nonlinearity on the propagation within a typhoon circulation, wherein two mesoscale vortices coexist at different radial positions.

设计了一个高分辨率的f平面的准地转正压涡度方程模式，用以研究两个径向距离不等的中尺度涡旋共存条件下，台风环流内涡量传播的特征，以及非线性在此传播过程中的作用。10组试验的结果指出：与单涡条件相比，涡量内传的强度显著加强，涡量滞留在台风内区的时间加长，内区局域最大风速增大的现象更加清楚。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新