高阶微分

一种高斯曲率策动和高阶微分相融合的去噪方法

A Fusion Denoising Method Based on Both Gaussian Curvature-driven and Differential of Higher Order

两参数跳过程的Kolmogorov高阶微分方程组

High-Order Kolmogorov Differential System of Equations for Two-parameter Jump Process

具有Fabry缺项级数系数的一类高阶微分方程解的复振荡

Complex oscillation of a class of higher order differential equation with one Fabry gap series coefficient

利用自适应高阶微分反馈控制器实现倒立摆的鲁棒镇定与调节，实现了SISO和MIMO混沌系统控制与同步。

We applied successfully the proposed adaptive HODFC to the inverted pendulum stabilization and regulation , and the SISO and MIMO chaotic system control synchronization .

应用计算机仿真软件MATLAB对控制系统高阶微分方程的时域和频域特性进行了仿真计算，分析影响系统稳定性的相关参数。

Application of computer simulation software MATLAB , simulated the characteristics of in time domain and frequency domain which depended on high-ranks control system of differential equations , determined the parameters which impact on system stability .

我们通过将建模过程分解为可以分布并行的模型结构选择和模型参数优化二个步骤，在异构网络环境中用CORBA实现了高阶微分方程建模的并行演化算法。

We realize the parallel evolutionary algorithm using distributed CORBA object on the heterogeneous networking by paralleling the two steps of modeling , which are the structure - selection and parameters - optimization .

本文论述了不依赖被控对象模型的高阶微分器（Highorderdifferentiator-HOD），该HOD能高品质的提取信号的一阶微分及高阶微分信号。

The thesis states the high order differentiator ( HOD ) that does not depend on the model of the controlled plant . The HOD can extract high quality one-order differential signal and high-order differential signals of the given signal .

讨论了微分问题的稳定性，并且利用Tikhonov正则化的方法，给出了高阶微分问题的一种稳定数值解。

We discussed the stability of the differential problems and with the theory of Tikhonov regularization , and a stable numerical solution for higher differential problems is given .

对SISO系统和MIMO非线性受扰时变仿射系统，提出基于HOD的自适应高阶微分反馈控制器HODFC.该控制器不依赖于系统的模型；

Based on the HOD , adaptive high order differentials feedback controller ( HODFC ) is presented for time-varying nonlinear SISO and MIMO affine systems , which does not rely on the model of the controlled plant .

第一章研究了高阶微分方程LidstoneBVP至少三个对称正解的存在性。

In the first part , the author studies the existence of at least three symmetric positive solutions for the Lidstone BVP of higher-order differential equations .

利用提取的系统高阶微分信息，提出了自适应高阶微分反馈控制器.某种程度上该控制器不依赖于单输入单输出（SISO）非线性仿射系统的模型。

Making full use of high order differential information extracted , an adaptive high order differential feedback controller is proposed , which does not depend on the model of SISO nonlinear affine system to a certain extent .

利用亚纯函数的Nevanlinna值分布理论，研究了一类高阶微分方程具有亚纯允许解时，它所具有的形式，得到了一个Malmquist型定理。

Using Nevanlinna theory of the value distribution of meromorphic functions , we investigate the form of a type of algebraic differential equation with admissible meromorphic solutions and obtain a Malmquist type theorem .

相比于Taylorgalerkin法，本有限元法不包含高阶微分项，适用于非线性多维问题及具有复杂边界形状的流动.该法具有计算简便、精度高、数值稳定性好等优点。

The results show that the present method is of third order accuracy and is stable for Courant Number 0 ~ 1 . Compared with the Taylor-Galerkin method , the present method has no higher order derivative terms and is suitable for nonlinear multi-dimensional flow problems .

应用等效小参量法时，主振荡仅包含基波的高阶微分方程解法的特点是求解过程相当简单，近似解的准确度高于传统的扰动法、KBM法、多尺度法、谐波平衡法等。

Solving high order differential equation , with main oscillation including first order base band , by equivalent small parameter method , could be simple and convenient . Approximate solution is exacter than that by perturbation method , KBM method , the multiple scale method , harmonic balance method , etc.

基于提取微分信号在工业控制及航天控制中的重要作用，介绍了一种可提取高品质微分信号的自适应高阶微分反馈控制器（AHODFC），并将其应用于交流调速系统中。

Based on the importance of extracting differential signal in industry and aerospace control , an adaptive high order differential feedback controller ( AHODFC ), which is capable to extract high-quality differential signals and can be applied to AC adjustable-speed system with varying frequency , is presented .

高阶微分方程解的辐角分布

The Angular Distribution of the Solutions of Higher Order Differential Equation

一类空间中高阶微分的性质

The properties of higher-order derivative in a class of Banach spaces

关于高阶微分中值定理的逆命题

On Converse proposition of Higher Order Differential Mean Value Theorem

非线性高阶微分方程初值问题的波形松弛方法

Waveform relaxation of initial problem of nonlinear high-order differential equations

加速系中的高阶微分变分原理和积分变分原理

Principle of Differential-Variation of High-Order and Integral-Variation of High-Order in Accelerated System

高阶微分中值公式及它的一个性质

The Mean Value Formulation for Higher-order Differences and a Property of It

这种建模方法避免了以往解高阶微分方程的问题。

This modeling can be established without solving high order nonlinear equation system .

高阶微分问题的一种正则数值解

An Regular Numerical Solution to the Higher Differential Problems

强非线性高阶微分方程计算机符号分析法研究

Study on computer symbolic analysis for solving the strongly nonlinear high-order differential equations

多元函数的高阶微分中值定理

Higher Order Differential Mean Value Theorems for Multivariate Functions

关于高阶微分中值公式的几点注记

A few notes on higher-order differential mean value formula

高阶微分方程的特征值估计

Estimates for Eigenvalues of Differential Equation with Higher Orders

一类对应于高阶微分算子的位势函数

A Class of Potentials Associated with Higher-order Differential Operator

本文建立了具有阻尼项的高阶微分方程新的振动定理。

This paper obtains a new oscillation theorem of high-order differential equation with damping .

具有阻尼项的高阶微分方程的振动性

The vibration of high-order differential equation with damping