积分因子就是为了解决这个问题而引进的概念。
Integrating factor to solve this problem is to introduce the concept.
本文就恰当微分方程的积分因子问题进行推广，得出两个定理。
This article makes an extension on the problem of integral factor in the total differential equation and has drawn two theorems.
讨论了解常微分方程的积分因子法在极限理论、微分学、积分学中的一些应用。
Some simple application of method of integrating factor that solve ordinary differential equation is discussed on the limit theory, differential and integral.
从一阶线性微分方程结构特点入手，给出了求其通解的常数变易法的数学原理，并简化了积分因子法。
The existence of particular solutions for a class of Riccati equations is studied by means of variation of constants and initial integral methods.
通过寻找积分因子来建立非完整非保守系统的守恒律，讨论了存在守恒定律的必要条件，并举例说明其应用。
A single character for use in integral invariant of nonholonomic conservation systems is proved and is subject to some conditions.
利用积分因子降阶法，给出了确定单自由度线性振动系统对任意激励响应的杜哈梅积分的一种新的推导方法。
This paper deals with the solution method of the initial value problem of linear vibration systems in the time domain.
本文对用分组法求积分因子做了一些改进；从而使一类微分方程的积分因子，主要通过积分的运算就可以得到。
An improvement was made in grouping to find the integrating factors, so that those for some differential equations will be worked out mainly by integration.
对模糊控制器选择了适当的模糊规则和合适的比例量化因子，并且对PI比例调节器选择了合适的比例积分因子。
The proper fuzzy rules and proportion quantification factors were chosen in fuzzy controller. In addition, proportional and integral factors were selected in PI regulator.
积分号内出现了一个新的因子。
然后利用外插值的方法，外推得到光滑因子为零时的积分方程的稳定解。
The stable solutions of the integral equation are obtained by the extrapolation method when the smooth factor equals to zero.
本文采用一种边界积分方程法，计算了共线周期反平面裂纹的动应力强度因子。
In this paper, a boundary integral equation method is applied to compute the dynamic stress intensity factors of collinear periodic antiplane cracks.
用积分回归法分析了牧草生长发育各时段单位因子变化量对年产量的影响程度及正负效应时段。
Using method of integral regression, effect of varying amounts per factor on annual yield and period of positive or negative effect during each growing stage of grasses were given.
研究无限弹性体中正方形弹性夹杂对裂纹应力强度因子的影响，给出了问题的新边界积分方程。
The effect of an elastic square inclusion on a crack tip's stress intensity factor in an infinite elastic body is considered and the new boundary integral equations are derived.
比较在相同优化PD参数和按不同加权因子整定优化积分时间的控制品质指标并进行脉冲扰动分析。
The control quality indexes under the same optimal PD parameters and the different integral time set by the different weighted factor are compared and the impulse disturbance analyse is given.
本文以镜面反射成像理论为基础，提出了一种空间辐射致冷器表面热耦合视因子的积分解法。
Based on the theory of the specular image technique, a method of integral solution used to solve the view factors between the thermal coupling surfaces of a space radiant cooler is introduced.
问题化为了裂纹上的奇异积分方程，并导出了应力强度因子公式。
The problem is reduced to a singular integral equation on cracks. The formulas for the stress intensity factors are also derived.
为解决模型实际应用中的问题，笔者引用了积分回归的概念，对传统模型的因子集进行了扩充。
To resolve the problem in the application of the models, the author expanded the classical factor set of models by introducing the concept of integral regression.
积分式中的被积函数包含一噪声强度垂直指向性因子，海洋介质分层条件通过该指向性因子影响噪声场的空间相干。
The integrand includes a multiplying factor of the vertical directivity of the noise intensity, and the layered ocean environment affects the spatial coherences via this directivity factor.
通过积分集中载荷的应力强度因子求分布载荷的应力强度因子的方法是可行的。
This method proved available to find the stress intensity factors of the distributed load by integrating the intensity factors of concentration load.
通过对弱奇异积分方程的数值求解，可得裂纹端点和交点处的应力强度因子。
Through the numerical solution of the integral equation, the stress intensity factors at the end points of the crack and intersection are obtained.
本文给出了圆面探测器对圆面源的几何因子的一元积分形式。
The solid angle for a disc source parallel to a disc detector has been determined using a one dimension integral.
焊接接头强度匹配因子m对裂纹尖端的J积分值有很大的影响。
The strength matching factor m has a great influence on the J integral in the vicinity of the crack tip.
结果表明，在大多数城市周边地区，各侵蚀景观因子都有一种类型(或级别)，其面积分布系数较大，居支配地位。
The result shows that there has been one type (or one grade) of every landscape factor which is dominating over the area of surrounding region of each city.
应用变分原理满足其余边界条件并求解应力强度因子。变分方程中只有线积分。
The stress intensity factors are solved by means of variational method to satisfy the other boundary conditions.
证明了规范场不仅沿入射电子在复连通区域运动路径的积分，而且还可沿入射标量或其他旋量粒子之一在复连通区域的运动路径积分，各自都将贡献一几何相因子。
It is justified that the integral of the gauge potential along path of not only electron but also scalar particle or spinor particle will contribute a geometric phase factor.
应用半权函数法求解双材料界面裂纹的应力强度因子，得到以半权函数对参考位移与应力加权积分的形式表示的应力强度因子。
Semi-weight function method is used and developed in this paper to solve the problem of two bonded dissimilar materials containing a crack along the bond.
同时以高斯波束为例，给出了波束因子的主要计算方法：积分法和区域近似法。
Taking Gaussian beam as example, Integral method and Localized Approximation for BSC's is discussed. Finally the far-field scattered intensity is simulated. 6.
灵活应用“凑微分”与“分部积分”法解被积函数为三个因子连乘形式的不定积分。
Flexible apply "gather together differential" and "divide part integral" method to solve the indefinite integral whose integrable function is the three factor multiple formative.
接着又分析了应力强度因子K及K控制区随孔洞体积分量的变化规律。
Then the increment of stress intensity factor K and its controlling section rp are analyzed with the volume content of holes in 3D braided CMC.
目的研究胰岛素样生长因子结合蛋白5 (IGFBP - 5)在高体积分数氧致新生大鼠慢性肺疾病(CLD)中的表达及作用机制。
Objective to investigate the expression of insulin-like growth factor-binding protein-5 (IGFBP-5) in full-term rats with hyperoxia-induced chronic lung diseases (CLD) and its mechanism.
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