条件方程

This paper studies the existence of solution for a semilinear wave equation under the nonlinear term and initial value satisfying certain conditions.

本文研究了半线性波动方程在非线性项和初值满足一定条件下解的存在性。

In this paper, the finite difference method for the homogenous initial boundary value problem of symmetric regularized long-wave equation is considered.

本文考虑了具有齐次边界条件的对称正则长波方程的有限差分方法。

The establishment and initiatory application of this new measurement method shows that it is feasible to study elastic velocities and equation of state of widely earth's interior materials in advance under high pressure and high temperature.

新的弹性波速测量方法的建立和初步的应用研究，表明在高温高压条件下进一步广泛地开展对地球深部物质的弹性波波速及状态方程的研究成为可能。

The computer simulation software was developed for figuring the path curves and instantaneous speed of the lapping process.

文中从运动学和几何学原理出发，建立了工件精密研磨过程的轨迹方程，通过将复杂的研磨运动简化为在中心距一定条件下夹具绕研磨盘中心轴的回转运动及夹具自身的回转运动，对工件上任意点相对于研磨盘的运动轨迹及瞬时速度进行了分析计算，并开发了相应的计算机仿真软件，对其运动轨迹曲线及瞬时速度进行了分析。

In fact, for interior problem, solution of the direct boundary integral equation always exists.

事实上，对内边值问题，第一类Fredholm 直接边界积分方程的可解性条件是自然得到满足的，本文对此做了验证。

In this note the author proves that a new uniqueness theorem of nonlinear integral equation of Hammerstein type doesn't need Lipschitz condition,and is applied to the problem of Heat transfer be- tween Solids and gases.

本文获得一个关于 Hammerstein 方程不需要 Lipschitz 条件的新唯一性定理并应用到气体与固体间的热传导问题。

The phase anomaly zones are investigated on the basis of the integral theorem of Helmholtz and Kirchhoff in terms of the Kirchhoff′s boundary conditions and the physical meaning of the integral for the diverging and converging spherical waves.

从波动方程出发，在基尔霍夫边界条件下，根据积分的物理意义，简明地研究了发散和汇聚球面波的相奇异区域分布。结果表明，除了汇聚的球面波焦点区域存在相奇异现象外，焦点以外的区域及对发散的球面波同样存在相奇异现象。

The stability of numerical methods for the linear Volterra delay integro differential equation was studied. A sufficient condition such that the implicit block θ-methods preserved the delay-independent stability of its exact solutions was obtained.

研究了线性中立型Volterra延迟积分微分方程数值方法的稳定性，给出了块隐式θ-方法保持系统解析解不依赖于延迟的稳定性质的一个充分条件。

Some conditions for weakly Persistence and extinction are obtained;In the second part, we respectively use C_h space and C_g space theorem to study the existence of periodic solutions of Lotka-Volterra equation with infinite delay, in the end we get the condition of the existense of periodic solutions and estimate the interzone of it.

第二部分利用相空间理论，分别以C_h空间和C_g空间为相空间研究了具有无限时滞的Lotka-Volterra方程周期解的存在性问题，给出了周期解存在的充分条件，并估计出了周期解的存在区间。

Starting from the concept of Measured Equation of Invariance and the local equivalent theorem, it regarded the determination of the truncation boundary condition as a question of field simulation in a small area near the grid boundary. The practical disposal in the 2D and 3D cases was discussed.

基于测度不变方程的概念和局部等效原理，将截断边界条件的确定归结为网格边界上一小区域的电位场模拟问题，并讨论了在二维、三维情况下的具体处理。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。