非线性积分方程

随机Volterra型非线性积分方程的一种近似解法

An approximate solution of random Volterra model nonlinear integral equation

另一方面，也举例说明了理论结果应用于解Hammerstein型的非线性积分方程时，可给出解的存在唯一性与逼近解的收敛判据方面的结果。

On the other hand , the author illustrates the theoretical results with an application to a nonlinear integral equation of the Hammerstein type , giving results on the existence and uniqueness of the solution and the convergence criteria for approximate solutions .

非线性积分方程在权空间（R~n，w（t））的唯一可解性（英）

Unique Solvability of Nonlinear Systems in Space ( R ~ n , w ( t ))

Banach空间中Volterra非线性积分方程的拟解对

Coupled Quasi & Solutions of Volterra Nonlinear Integral Equations in a Banach Space

应用Green函数方法，将边值问题化为等价的非线性积分方程组，便于理论研究和求解。

By the use of the method of Green function , this nonlinear boundary-value problem may be transformed into equivalent nonlinear integral equations which are convenient for theoretical investigation and also for solution .

一类抽象Hammerstein型非线性积分方程解的存在唯一性

Existence and Uniqueness of Solutions of One Abstract Hammerstein Nonlinear Integral Equations

Hammerstein型非线性积分方程的线性有限元逼近

Linear finite element approximation of Hammerstein nonlinear integral equations

最后，把结果运用到Fredholm型非线性积分方程，方法适用。

Finally , the result is applied to a nonlinear integral equations of the Fredholm type , and the method is available .

单调映射之和的值域与Urysohn型非线性积分方程

On the range of sum of monotone mappings and nonlinear integral equations of Urysohn type

本文利用半序理论，不使用紧型条件，在弱序列完备的Banach空间中讨论了Volterra非线性积分方程的拟解对。

In this paper , the partial ordering theory is used to discuss the coupled quasi & solutions of the Volterra nonlinear integral equations in the weakly sequentially complete Banach space without using the compact type condition .

本文讨论了双自由边界Stefan问题的解对于初始条件的单调相依性，以及该解和一个Volterra型的非线性积分方程组的等价关系。

Through further study on the Stefan problem with two free boundaries , some results are obtained . The solution is monotone dependence for the ini - tial conditions and equivalent to the solution of a nonlinear integral equations of Volterra type .

运用锥理论知识和单调迭代技巧研究了一类减算子的不动点的存在、唯一及迭代收敛性，获得了新的结果，并将所得结果应用于RN上的Hammerstein非线性积分方程之中。

In this paper , the existence , uniqueness and iteration of fixed points for some decreasing operators are studied by the theory of cone and monotone iterative techniques , and several results are applied to Hammerstein nonlinear integral equations on R ~ N.

首先采用变分原理和非线性积分方程推导出反演方程，然后利用玻恩迭代法（BIM）对轴对称二维非均匀介质分布进行了反演。

In this paper , inversion equation is derived by the variation principle and nonlinear integral equation , then the Born Iterative Method ( BIM ) is applied to deal with the nonlinear inversion problem of the conductivity distribution in a two-dimensional axisymmetric medium .

传染病模型的非线性积分方程非零解的唯一性

Uniqueness of nonzero solution of nonlinear integral equation modeling infectious disease

关于传染病模型中的非线性积分方程的非负周期解

Positive Periodic Solutions of Nonlinear Integral Eguation for Epidemic Model

LCAO&SCF方法中的非线性积分方程

On the non - linear integral equations in LCAO - SCF method

抽象空间非线性积分方程解的存在与唯一性

Existence and uniqueness of solution of nonlinear integral equation in abstract space

一个大尺度和非线性积分方程的数值解法

A Numerical Method for a Large Scale and Weak Nonlinear Integral Equation

关于一类型非线性积分方程解的一个存在定理

On a theorem of existence solutions for some of kind non-linear integral equations

不动点指数及其对传染病传播模型的非线性积分方程的应用

Fixed Point Indexes and Its Applications to Nonlinear Integral Equations Modeling Infectious Diseases

非线性积分方程解的指数与解的个数

On the Index of a Solution and Number of Solutions of Nonlinear Integral Equation

该方法基于非线性积分方程，利用变分方法来建立反演方程。

Based on nonlinear integral equation , the inversion equation is derived by using the variational principle .

研究了一类随机非线性积分方程和随机非线性微分方程的随机解。

In this paper , we investigate random solution of a class of random nonlinear integral equations and nonlinear differential equations .

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 .

得到凝聚映象的几个新的不动点定理，并用到一类非线性积分方程的非零解、正解和解的性状的研究上得出了新的结果。

As an application , we utilize this result to study the existence problem of solutions for some kind of nonlinear integral equations .

该方法是基于精确的非线性积分方程的迭代方法，用正则化方法求出地层电导率剖面分布。

The method , which incorporates the nonlinear relationship between voltage and formation conductivity is an iterative one based on the accurate nonlinear integral equation , and the formation conductivity profile is solved by regularization method .

采用格林函数法，导出了U型波纹管圆环壳部分和截头扁锥壳部分的非线性积分方程，其中的四个未知参数由圆环壳和截头扁锥壳的连接条件确定。

The non-linear integral equations of circular ring shells and truncated shallow conical shells of U-shaped bellows are derived using the Green function method , and the conjunction conditions between circular ring shells and truncated shallow conical shells are applied to determine the four unknown parameters .

P算子与非线性微分积分方程的周期边值问题

P-operator and periodic boundary values of non-linear differential-integral equation

Banach空间中非线性积分微分方程的迭代解法

Iterative solving process of nonlinear integral differential equations in Banach Spaces

Banach空间一类非线性微分积分方程的整体解

Global Solutions of a Class of Nonlinear Integrodifferential Equations in Banach Spaces