非线性算子

与小波相关的一个非线性算子

A non-linear operator related to Wavelets

本文重要是利用半序方法来研究了几类算子（包括非连续的单调算子、混合单调算子以及非线性算子）的不动点存在性问题，建立了若干的新不动点定理。

This text importantly makes use of partial order method to study the existence of fixed points of several operators ( including non-continuous monotone operator , mixed monotone operator and non-linear operator ) , and sets up several new theorems of fixed point .

关于PM空间中非线性算子若干问题的研究

Research on Some Problems of Nonlinear Operators in the PM-Space

解非线性算子方程的新球形Newton算法

A New Ball Newton Algorithm for Solving Nonlinear Operator Equations

Hilbert空间中非线性算子方程的解

Solutions of Nonlinear Operators Equations in Hilbert Space

Banach空间中变分法和单调非线性算子理论

The calculus of variations and the theory of nonlinear - monotonic operators in Banach space

半序Banach空间中集的上确界及一类非线性算子方程的解

The supremum of the set in a semi-order Banach space and the solution of a Class Nonlinear Operator Equation

Banach空间非线性算子在Frechet意义下求导问题的综合报告

Synthesis Report of Derivative of Nonlinear Operator in Banach Space Under the Frechet Sense

一类非线性算子Ishikawa迭代序列的强收敛定理

Some Strong Convergence Theorems for Ishikawa Iterative Sequence of Certain Nonlinear Operators

一致平滑Banach空间中一类非线性算子的Ishikawa迭代序列的收敛定理

Some Convergence Theorems for the Ishikawa Iterative Sequences of Certain Nonlinear Operators in Uniformly Smooth Banach Spaces

一类非线性算子方程解的Mann迭代序列的收敛性

The convergence of Mann iterative sequences of solutions for some nonlinear operator equations

首先基于Volterra级数理论，将一般的SISO离散系统非线性算子表示为n阶Volterra线性算子级数。

Based on Volterra series theory , a general SISO discrete nonlinear operator is represented as a degree n Volterra operator series .

提出了附属于非线性算子A的半范数A及微分方程式的广义解算子E的概念与性质，并引入非线性差分逼近的相容性、收敛性、稳定性概念。

This paper gives the conceptions of consistency , convergence , stability , seminorm of an operator of the nonlinear difference approximation and the Lax 's equivalence theorem to the non-linear case .

（Φ，Δ）型概率收缩与MengerPN－空间中非线性算子方程的解

(Φ,Δ) - Type Probabilistic Contractor and Solutions for a Nonlinear operator Equations in Menger PN-Spaces

本文主要分两部分，第一部分主要研究Banach空间的非线性算子半群的不动点理论。

This thesis is devoted to the study of the fixed point theory and the ergodic theory of nonlinear operators in Banach spaces . It has two main chapters .

H（？）lder连续条件以及不可导情形非线性算子的迭代法分析

The Analysis of Iteration for the Nonlinear Operators under the Condition of H (?) lder Continuous or Nondifferential ; Linear and Nonlinear Multipartite Entangled State Representation

关于X-B-S空间中的若干非线性算子问题

On Some Problems of Nonlinear Operator in the X-B-S Space

研究了Banach空间中求解非线性算子方程的一个变形牛顿法的收敛性，建立了它的New-ton-Kantorovich型的收敛性定理并给出了误差估计。

In this paper , we discuss the convergence of modified Newton 's method for solving nonlinear operator equations in Banach spaces and establish convergence theorem of Newton-Kantorovich 's type . Finally , the corresponding error estimate is also given .

在第四节中我们研究了一类非线性算子（不考虑此算子的混合单调性以及连续性）方程组的不动点存在性问题，并讨论了其Mann迭代序列的逼近性问题。

In section four we study the existence of fixed points of the equation group of non-linear operators ( without considering the qualities such as mixed monotony and continuity ), and we discuss the convergence of Mann iteration sequence .

本文对一类非线性算子的障碍问题提出了几个Schwarz算法，所得迭代序列为上解序列或下解序列，它们单调收敛于问题的准确解。

In this paper , we propose several Schwarz algorithms for obstacle problems with a type of nolinear operators . Any iterative sequence generated by the algorithms is a super-solution or a lower-solution sequence , which converges monotonically to the problem .

所考虑的系统由正向通道的线性时不变稳定系统与反馈通道的不确定动态特性所构成的闭环系统。反馈通道的不确定性由输入导数满足积分二次约束（IQC）的非线性算子描述。

The system consists of a stable linear time invariant system in its forward loop and dynamic uncertainties in the feedback loop , which can be described by an uncertain operator with its input time derivative satisfies integral quadratic constraints .

在第三章中，构造了一族避免二阶Freéchet导数的修正Halley迭代，用其去逼近Banach空间中非线性算子方程的解，同时给出了存在唯一性定理和一种新型的递归关系。

In the third chapter , we derive a new family of deformed Halley methods without the evaluation of the second Frechet-derivative to approximate the roots of nondifferentiable equations in Banach space . We also provided a existence-uniqueness theorem and a new system of recurrence relations .

利用优函数研究了Banach空间中求解非线性算子方程的一个修正牛顿法的收敛性，并建立了它的Newton-Kantorovich型收敛性定理，最后用例子说明了定理的应用。

By using majorizing function , we establish Kantorovich - type convergence theorem for the modified Newton method in Banach space which is used to solve the nonlinear operator equation . Finally , two examples are provided to show the application of our theorem .

提出了基于在轨遥测数据的MSET状态估计的方法，分别研究了数据正规化处理、训练数据选取、记忆矩阵构造和非线性算子选取及优化等MSET实现技术。

A MSET estimation method is presented based on the actual in-orbit state telemetry obtained data . And the data standardization process , training data selection , memory matrix structure and the nonlinear operator selection and optimization of MSET implementation technologies are given respectively .

局部散射源参数估计的非线性算子方法

Nonlinear operator method for parameter estimation of a locally scattered source

非线性算子方程变号解的存在性及其应用

Existence of Sign-Changing Solutions for Nonlinear Operator Equations and Its Applications

非线性算子方程的三解定理与锐角原理

Three solution theorems and acute angle principle for Nonlinear Operator Equations

一种单纯形算法及其在求解非线性算子方程中的应用

A simplicial algorithm and its applications on Solving Nonlinear Operator Equations

一类非线性算子特征元的全局结构

Global Characteristics for the Eigenvectors of a Class of Nonlinear Operators

几个非线性算子不动点的存在性定理及其应用

The Existence Theorems of Fixed Points for Some Nonlinear Operators and Application