Infinite integral is a type of improper integral in calculi, and it is also a difficult point in integral.
无穷限积分是微积分学中广义积分的一种类型，是积分知识的一个难点内容。
It is given a evaluation formula for a class of infinite integrals by applying Parametric Variable integral transformation.
应用含参变量积分变换的方法，给出了一类无穷积分的求值公式。
By using the operator generalized line graphs on some integral graphs, a series of infinite integral graphs is constructed.
对一些整谱图，运用一种全新的广义线图算子方法，构造出了一系列无穷多个新的整谱图。
In this paper, we prove the infinite weighted mean inequalities. Furthermore, some results are established in infinite integral case.
本文把有限个数的调和、几何、算术加权平均值不等式推广到无穷多个数的形式和广义积分的形式。
In this paper, it gives a criteria of convergence of infinite integral about the positive function and expands it on the defect integral.
主要探讨了从函数自身的性质判定无穷积分敛散性的方法，并将其推广到瑕积分。
In this paper, new criterion of convergence and divergence for infinite series is given by means of the convergence and divergence of infinite integral.
利用无穷积分的敛散性给出了无穷级数敛散性的一个新的判别法。
Infinite integrals of coefficients of algebraic equations are reduced to finite integrals by using contour integral and the principle of analytic continuation.
并提出可以用围线积分和解析开拓原理把方程组系数的无穷积分化为有穷积分。
Line graph plays an important role in the study of spectral graph theory. By using the operator generalized line graphs on some integral graphs, a series of infinite integral graphs is constructed.
线图在图的谱理论研究中起着重要的作用。对一些整谱图，运用一种全新的广义线图算子方法，构造出了一系列无穷多个新的整谱图。
And the eigenvalue problem of integral equation is transformed into a standard eigenvalue problem of a matrix with infinite order.
进而将积分方程形式的特征值问题转化为无穷阶矩阵的标准特征值问题。
The treatment of point source and infinite boundary in solving the integral equation by BEM are developed.
研究了用边界单元法解积分方程中点源和无穷边界的处理方法。
The second chapter discusses and proves the existence and uniqueness of periodic solutions and stability of a neutral integral and differential equation with infinite delay in detail.
第二章详细论证了一类具有无穷时滞中立型积分微分方程周期解的存在唯一性和稳定性。
Based on the normalizing of one dimensional infinite potential well, an anomalous integral formula is deduced.
根据一维无限深势阱的归一化条件推出了一个反常积分公式。
The limit of the integrand f ( x ) of abnormal integral, which is convergent in the infinite range of integration, is not certainly equal zero at infinity.
摘要无穷限反常积分收敛时，其被积函数在无穷远处的极限不一定为零。
Infinite series in mathematical analysis is connected with Abstract integral in the measure theory through counting measure, and a new proof to an important property of infinite series is obtained.
通过引入计数测度，将数学分析中的无穷级数和测度论中的抽象积分联系起来，并在此基础上对双重连加号中，连加号的次序可以颠倒这个性质给出了一个证明。
And then the eigenvalue problem of integral equation is transformed into the standard eigenvalue problem of a positive definite matrix with infinite order.
进而将积分方程形式的特征值问题转化为无穷阶正定对称矩阵的标准特征值问题。
The equations are applied to a semi-infinite superconductor in a static magnetic field. The integral expressions for energy-gap function and penetration depth are given.
利用这个方程组，我们讨论了恒定外磁场中的半无限大超导体，给出了能隙函数和穿透深度的积分表达式。
In the calculation of the DGF, it is simplified by using the integral transformation and replacing the multi-infinite summation with a single one.
在具体计算中，由于应用积分变换以及将多重无穷求和化为单一无穷和，极大地简化了计算，节省了计算时间。
When the integral constant is zero, the existence of smooth solitary wave solutions, uncountably infinite, many smooth periodic wave solutions, and kink and anti-kink wave solutions are proved.
在积分常数为零的条件下，证明了该方程存在光滑孤立波解、不可数无穷多光滑周期波解、扭结波和反扭结波解。
First, the integral equation of an infinite phased array of rectangle waveguide with rectangle grid was deduced and its solution by moment method was presented either.
该文采用积分方程法及模式匹配法对矩形波导单元无限相控阵进行了分析与设计。
A crack problem in the case of a circular cylinder having an infinite row of circumferential cracks under tension are analyzed in this study, by the integral equation method.
本文采用奇异积分方程方法研究了含周期型环边裂纹长圆柱的轴对称拉伸问题。
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.
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 solution in integral form of Green's function of a point source in infinite space is analysed.
分析无穷空间点源扰动函数积分形式的解。
Applying fixed points theorem, we give the sufficient conditions of the existence of positive ergodic solutions for a class of infinite nonlinear integral equations.
利用不动点理论，给出了一类非线性积分方程正的遍历解存在的充分条件。
Applying fixed points theorem, we give the sufficient conditions of the existence of positive ergodic solutions for a class of infinite nonlinear integral equations.
利用不动点理论，给出了一类非线性积分方程正的遍历解存在的充分条件。
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