线性积分方程

一类线性积分方程的可解性

Solvability of a Type Linear Integral Equations

线性积分方程反演软件-CONTIN的求解方法与使用

The Solution Method and Usage of the Inversion Software CONTIN of Linear Integral Equations

Banach空间脉冲Volterra型线性积分方程的解

Solutions of linear impulsive Volterra integral equations in Banach space

进而，解决了Burton提出的关于线性积分方程和线性微分积分方程的解的渐近稳定性的一个公开问题。

And then , the asymtotic stability of the solutions to linear integral equation and linear integrodifferential equation as proposed by Burton as an open issue is solved .

首先巧妙地给出一个线性积分方程和线性微分积分方程，即具有无限多个周期解的两个有趣的反例，用以说明Burton的某些结果是不成立的。

A linear integral equation and a linear integrodifferential equation , namely , two interesting counter examples with infinite periodic solutions are ingeniously given for illustrating some results of Burton to be false .

波动方程柯西反问题化成线性积分方程的求解方法

A Linearization Approach for the Inverse Problem of the Cauchy Wave Differential Equations

线性积分方程参数值的优化

The Optimization of Parameter on Linear Integral Equation

利用平方可积对称核的积分算子非零特征的性质，给出了具平方可积对称核的线性积分方程解的存在与唯一性定理以及适用的求解公式。

Using property of non-zero characteristics of the integral operator with square integrable and symmetric kernel , this paper presents the theorem of the existence and uniqueness of solutions of linear integral equation with square integral and symmetric kernel , and the applicable formulas of its solutions .

矩阵Riccati方程与线性Fredholm积分方程

The Matrix Riccati Equations and the Linear Fredholm Integral Equations

第二类线性Fredholm积分方程迭代算法的一个注记

A Note on Iteration Methods for Linear Fredholm Integral Equations of the Second Kind incomplete elliptic integral of the first kind

最后，讨论了一类相应的常系数线性奇异积分方程，证明了其与一类Fredholm方程等价，并且其特征方程在L（？）

Finally , the author applies these formulas to study the linear singular integral equations proves that they are equivalent to the Fredholm equations .

讨论了二维线性Fredholm积分方程的迭代配置方法，在拟一致网格下得到了迭代配置解的多重校正估计。

We discuss the iterated collocation method of two-dimensional Fredholm integral equations . A multilevel correction estimate of the corresponding iterated collocation approximations with quasi-uniformly meshes is obtained .

采用逐次迭代方法讨论Banach空间中脉冲型线性Volterra积分方程，获得了其解的存在唯一性结果，最后给出一个具体的例子。

Linear impulsive Volterra integral equations in a Banach space are investigated by means of the iterative technique and the theorem on the existence and uniqueness of their solutions is obtained . At last , an example is given .

本文建立了矩阵Riccati方程（1）与线性Fredholm积分方程（9）的等价关系（定理5），为Riccati方程的研究提供了一条新的途径。

In this paper , we have established the equivalent relation between the matrix Riccati equations ( 1 ) and the linear Fredholm integral equations ( 9 ) ( Theorem 5 ), which provide a new approach to the investigation of the Riccati equations .

C~n中的线性奇异积分方程组

System for the Linear Singular Integral Equations in C ~ n

R~n空间中闭光滑流形上的线性奇异积分方程

Linear Singular Integral Equation on a Closed Smooth Manifold in R ~ n Space

多复变数的线性奇异积分方程

Linear Singular Integral Equation of Several Complex Variables

超线性Hammerstein型积分方程组正解的存在性

Existence of Positive Solutions for Superlinear System of Hammerstein Integral Equations

多元线性Fredholm型积分方程组及积分不等式组

Multidimensional linear systems of fredholm-type integral equations and inequalities in several variables

利用锥映象不动点指数的有关定理，获得超线性Hammerstein型积分方程组正解的存在性。

Using the theorems of fixed point index for cone mapping , the existence of positive solutions is obtained for superlinear system of Hammerstein integral equations .

通过构造非正定的、导数非负的Liapunov泛函，得到一些保证线性Volterra积分微分方程解的稳定性与有界性的充分条件，推广了文献[1～2]中相应的结果。

By means of constructing non-positive definite Liapunov 's functional , whose derivative is not negative definite , we obtain some sufficient conditions of stability and boundedness of linear Volterra integro-differential equation and improve some results in [ 1 ] and [ 2 ] .

闭光滑流形上的高阶线性微-积分方程

The Higher Order Linear Differential-Integral Equations on Smooth Closed Orientable Manifolds

提出了刚性地基梁非线性分析的积分方程法。

An integral equation method is presented in this paper for the nonlinear analysis of beams on a rigid foundation .

这时，它是一个线性微分－积分方程，在时间域用分离变量法求解。

In fact , it is a linear differential integral equation and can be solved by variables separation method in time domain .

奇摄动拟线性Volterra型积分微分方程

The Singularly Perturbed Quasilinear Volterra Type of Integral Differential Equations

线性脉冲Fredholm型积分方程的唯一解

Unique Solutions of Linear Impulsive Fredholm Integral Equations

论文首先以三维拉普拉斯方程作为基本控制方程，应用第二格林定理，建立线性频域内的积分方程。

Taking 3D Laplace equation as governing equation and applying to the second-order Green identity , an integration equation is founded in linear frequency-domain .

本文中我们采用扩展混合有限元方法和混合体积元方法数值模拟了二阶拟线性抛物型积分微分方程和二阶拟线性抛物问题。

In this paper , we consider the Expanded Mixed Finite Element Method and mixed covolume method for the quasilinear parabolic integro-differential equation and quasilinear parabolic problem .

第三章，我们对一类具无限时滞及变时滞的线性及非线性积分微分方程系统考虑了类似问题。

In chapter 3 , we devote ourselves to investigating the similar problems for a class of linear and nonlinear integro-differential equations with infinite and time-dependent delays .

无界停时终端非李氏系数带跳倒向随机微分方程的解及拟线性椭圆型偏微分积分方程解的概率表示

On Solutions of Backward Stochastic Differential Equations With Jumps , With Unbounded Stopping Times as Terminal and With Non-Lipschitz Coefficients , and Probabilistic Interpretation of Quasi-Linear Elliptic Type Integro-Differential Equa