考虑一类垂直断层效应反演问题，其数学模型是具有解析核的第一类积分方程。
A class of inverse problems of perpendicular fault effect are discussed, which are modeled by a first kind integral equation with an analytic kernel.
本文给出了具有变量可分离核的积分方程解的存在条件和初等求解法。
This paper gives existence and uniqueness condition of solutions of the integral equation with variable separable kernel, and it's elementary solutions.
讨论具有跳跃非线性项的非正定核积分方程。
This paper deals with indefinite integral equations with jumping nonlinearities.
对于积分方程应用再生核解法进行求解，并应用数学软件进行数值求解。
As the integral equation, the authors use the reproducing kernel method to seek the solution, and seek the numerical solution by the Mathematic software.
导出了具有正定对称核的积分方程最小特征值的一个下界估计式。以此为基础，获得了相应特征值的一种算法。
In this paper an estimation of lower bound of minimum eigenvalue for the integral equation is obtained. Based on this estimation we introduce a new method for the corresponding eigenvalue calculation.
本文基于“F”与“V”类积分方程序的基本形式，抽象出积分方程序“核”的基本定义。
This article discusses the basic form of "f" and "V" type integral equations, abstracts the basic definition of integral equation "nucleus".
得到的积分方程中的积分核具有奇异性，再根据R -函数理论，可以选择适当的边界规范化方程，消除核的奇异性。
By choosing suitable boundary normalized equation in according to R-function theory, the irregularity of integral kernel in integral equation can be eliminated.
得到的积分方程中的积分核具有奇异性，再根据R -函数理论，可以选择适当的边界规范化方程，消除核的奇异性。
By choosing suitable boundary normalized equation in according to R-function theory, the irregularity of integral kernel in integral equation can be eliminated.
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