型非线性积分不等式的推广

On some nonlinear integral inequalities of ouyang type

第三种线性积分方程

Linear integral equation of the third kind

这类含反常积分的非线性不等式与笔者以前证明的某些非线性积分不等式密切相关。

These new improper integral inequalities are closely related with some integral inequalities proved by the present author in an earlier paper.

首先利用玻恩近似将非线性积分方程线性化，然后应用变分方法导出用于反演的电场积分方程。

The nonlinear problem is linearized at each step by using Born approximation. Meanwhile, the inverse integration equation is derived.

研究一类非线性积分微分方程组边值问题.

Studies the boundary value problem for a class of nonlinear system of the integro differential equations.

引入基于该测度论的强多重线性积分系统；

Integrals based on the theory is introduced;

利用泛函分析的技巧讨论了一类对具有连续时滞非线性积分微分方程周期解的稳定性。

The stability of periodic solutions of a kind of nonlinear integral-differential equations with continuous delay is discussed in this paper mainly by the method of functional analysis.