算子方程

As the applications of the resulting results,the solvability of operator equations which do not possess monotonicity are discussed.

作为应用，讨论了不具有单调性的算子方程的可解性，改进和推广了某些已知结果。

By semi-order method the coupled minimal and maximal quasi-solutions for a class of nonlinear operator equations in Banach spaces are studied.

利用半序的方法，研究了巴拿赫空间中一类非线性算子方程的最小最大耦合拟解。

This article studies solution of the first kind of operator equation and makes theoretical analysis and algorithm in detail.

讨论了地球物理反演问题中的第一类算子方程的解法，基于Tikhonov正则化思想，给出了详细的理论分析和算法描述。

How to solve the operator equation is a classical problem, which have beenstudied throughout by mathematics all over the world.

算子方程的求解问题，是一个经典的问题，始终被世界各地数学家所关注。

In chapter 4, we compute the symmetry group, variational symmetry group, divergence symmetry group of some operator equation.

在第四章中计算了一些偏微分算子方程的对称群，变分对称群以及散度对称群。

The fixed point theory of increasing operator and the method of upper and lower solutions based on it are one of the basic methods in the study of various nonlinear problems.

特别的，我们还考虑了一类m-点边值问题正解的全局结构。本文的最后给出了极限增算子方程解的一些存在性结果。

The representation of all the solutions for the equation Lv=f is obtained through constructing a standard orthogonal basis of null space N.

通过构造零空间的一组标准正交基，得到了线性算子方程Lv=f的所有解的表达形式。

In this thesis,we discuss the problems of applying regularization methods to solvelinear and nonlinnear operator ...

本文讨论了利用正则化方法求解线性及非线性第一类算子方程的问题。

Exponential operator equation; super-stability ; Ger-stability; asympotic behavior; ring homomorphism

基础科学，数学，数学分析指数算子方程；超稳定性； Ger-稳定性；环同态；渐进性态

The aim of this paper is to study the solvability of some operator equations by using partial order method.

本文主要利用半序方法研究了几类算子方程解的存在性。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。