解析微分

Firstly, the integral-differential equation described the radiation field evolution is derived, and then the instability of its solution is also investigated analytically. By using the perturbation and iteration method, the threshold detuning and threshold linear growth rate of the unstable solution are analyzed and discussed in detail.

首先，建立了一个描述辐射场演化的积分一微分方程，解析分析了系统解的不稳定性，并采用线性方程解的微扰迭代方法进一步对系统不稳定解出现的失谐量阈值和线性增长率阈值等作了详细讨论。

The former being solved by the boundary point methool,and the latter constructed by the analytic way,on natter whetter the problem is defined in finiter or infinite region,and steady or transient .

将微分方程的非齐次问题解化为相应齐次问题解与某个非齐次特解之和，前者用边界点法计算，后者则通过解析法来构造，无论是有限域或无限域、定常或非定常问题，本文方法都能得出可靠有效

The first order gradient information was obtained by the analytical method and preconditioned automatic differentiation.

在该方法中优化命题采用简约空间SQP算法求解，求解过程中需要的导数信息采用解析表达和预处理的自动微分技术求取。

Derivation the analytic solution that basic and differential equation received average cloth load unloads water.

推导了基本微分方程并得到了水平均布荷载下的解析解。

This paper presents the explicit expression of geodesic equation on a paraboloids of revolution using differential geometry which avoids the complexity of geodesic ray tracing by numerical approach.

本文根据微分几何原理，从广义费马原理出发，得到了旋转抛物面上短程线的解析式，避免了数值方法射线寻迹的复杂性。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。