With the variable replacement method, general solution formulae were given to the linear differential systems with complex constant coefficients and that with a class of complex variable coefficients. 采用降阶和特征根(欧拉)方法,给出了一类三维二阶常系数微分方程组的通解公式,并通过算例与拉氏变换法进行了比较。
Now, how to solve partial differential equations is not a topic for this class. 怎么求解偏微分方程?
Non-polynomial Spline Approach to the Solution of a System of Third-order Ordinary Differential Equation A class of modifiable C~ 2 continuous cubic trigonometric polynomial curve 一类常微分方程的非多项式样条函数逼近解可调控C~2连续三次三角多项式样条曲线
Facing the large differential settlement observed at the bridge head on high class road, this paper presents the mechanism and construction methods of geosynthetic material. 综述了土工合成材料的概念、种类、特性、主要功能及其在水利水电、铁路、公路、港湾与海岸工程等诸领域的应用。
The Dynamic Properties for a Generalized Asset Pricing Model and Different Physical Structures of Solutions for Two Types of Nonlinear Partial Differential Equaions Bifurcations of Travelling Wave Solutions for A Class of Nonlinear Partial Differential Equations 一类广义资产定价模型解的性质及两类非线性偏微分方程解的物理结构
Design of Dual-Channel Fully Differential High-power Class D Audio Power Amplifier 一款双通道全差分大功率D类音频功率放大器设计
The approximate solution to the nonlinear differential dynamic equation of a swing is derived by using another simple method, which is very suitable for discussing in class. 用另一种方法导出了秋千非线性动力学微分方程的近似解,很适合课堂讨论。
To compensate the error originated from the non-ideal character of the SI circuits, some novel structures based on the technology of negative feedback, fully differential, class AB, SnI and other technologies to compensate the clock feed through effects are proposed and analyzed. 提出了应用负反馈技术、全差分技术、甲乙类技术、S~2I技术及钟馈效应消除技术的各种加强电路结构,用以补偿由开关电流电路非理想特性引起的各种误差。
By the generalized Riccati technique, the averaging technique and differential inequalities, the oscillation for a class of high order nonlinear differential equations is discussed and new oscillation criteria are obtained. 利用广义Riccati技巧、积分平均与完全平方技巧以及微分不等式理论,讨论了一类高阶非线性微分方程的振动性并得到一些新的振动准则。
This paper discusses some aspects of class E RF amplifier such as circuit structure, working principle, the existing problems, and solutions by the use of differential and cross-coupled feedback configuration. At last, an example of class E amplifier is given. 文章研究了E类RF放大器的电路结构、工作原理、存在的问题,以及解决的方法&差分和交叉耦合反馈结构,最后给出了E类放大器的实例。
In this paper, the asymptotic behavior of solutions for forced nonlinear delay differential systems are discussed. Some criteria, under which the solutions of the delay differential systems tend to zero as t →∞, for a class of nonlinear differential systems are obtained. 研究了具有强迫项的非线性时滞微分系统,并对一类非线性时滞微分系统得到了当t→∞时,其解趋于零的判据。
Study the differential inequality theory for a class of nonlinear differential systems with three point boundary value conditions. 运用微分不等式理论研究一类非线性系统三点边值问题。
The Differential Operator and Formula Methods for Integral of a Class of Functions 一类函数积分的微分算子法与公式法
The theorem of conservation of non-conservative field has been derived based on the differential variational principle and the conservation laws for a certain class of continuum mechanics are given in this paper. 本文通过微分变分原理导出非保守场守恒定理及给出某类连续介质力学的守恒定律。
Differential Geometrical Methods in A Class of Econometric Models 一类计量经济模型的微分几何方法
Based on the concept of partial acceleration, a general method for obtaining the differential equations governing the motions of a class of nonholonomic systems is presented. 基于偏加速度概念,给出建立一类非完整动力学系统运动微分方程的一般方法。
In this paper, we use the liapunov function of the third order linear differential equations, set up the liapunov function of a class of third order nonlinear differential equations and obtain the condition of the entire gradual stability of this system. 本文运用三阶线性微分方程的Liapunov函数,构造了一类三阶非线性微分方程的Liapunov函数,得到该系统的全局渐近稳定性条件。
In order to solve this problem and the problems of the gain of relative degree, and of the higher-order differential operation, a first-order D-type iterative learning control design scheme was presented for a class of nonlinear systems with arbitrary higher relative degree based on the dummy model. 为解决该问题以及相对度增益与高阶微分运算的问题,针对一类具有任意高阶相对度的非线性系统,提出了基于虚拟模型的一阶D型迭代学习控制设计方法。
Applying the result of the stability of differential operator and Lyapunov matrix equation, and using several analytic methods, this paper gives the sufficient conditions of the uniformly asymptotically stability for a class of linear neutral system. 本文结合Lyapunov矩阵方程和差分算子稳定性的结果,采用一些解析方法,给出了一类中立型线性控制系统一致渐近稳定的充分条件。
Secondly, according to the space of symmetric covariant tensors, on algebraic classification to cubic polynomial differential systems without quadratic terms is obtained, keeping the trajectory direction, which gives the same determinant polynomial for the same class. 其次,由称共变张量审间的性质,对缺二次项的三次微分系统在保证轨线走向不变的前提下进行代数分类,使分类后同类系统的示性多项式有相同零点;
With the theory of stochastic differential equation, the authors discuss a problem of a class of risk investment portfolio with stochastic character. 利用随机微分方程理论,对一类具有随机特征的风险投资组合问题进行深入研究。
This dissertation is organized by four parts: In Chapter 1, we simply introduce the development of differential equations with piecewise constant argument and periodic solutions for a class of general utility type nerve network model. 全文由如下四部分组成:第一章简要地介绍了逐段常变量微分方程发展概况及对神经网络模型周期解的研究概况。
The aim of this paper is to establish the asymptotic methods for initial value problems of semilinear hyperbolic partial differential equations of order two. An asymptotic theory for a class of initial value problems for nonlinear wave equations is presented. 研究了二阶半线性初值问题解的渐近方法,得到了非线性波动方程初值问题的渐近理论。
By means of the differential difference inequality, considers the stability of the zero solution of a class of linear neutral large scale system with changeable coefficients. A simple and applicable criterion for stability of the zero solution is obtained, which includes the main result before. 借助于微分差分不等式考虑变系数线性中立型大系统的零解的稳定性,得到了简单、适用的稳定性判别准则,改进了已有的主要结果。
Then, this paper studys the stability conditions of periodic coefficient linear differential equations with stability theory and Floquet theory. Lastly, the stability theory of periodic coefficient linear differential equations are applied to a class of parametric inverted pendulum model. 利用稳定性理论和Floquet理论研究了周期系数线性微分方程组的稳定性条件。最后,将周期系数线性微分方程组的稳定性理论应用于一类含有参数的倒立单摆模型。
In this thesis, as applications, we develop a differential geometric theory of the set of positive definite matrices by means of a specific class of con-nections introduced into it. Using the theory we derive interesting geometrical interpretations for matrix approximation. 作为应用,这篇论文还通过引进特殊的联络介绍了正定矩阵集的微分几何理论,运用这套理论我们获得了矩阵逼近理论的一些有趣的几何解释。
This paper studies hybrid collocation and adaptive collocation algorithm for frac-tional differential equations ( FDEs). Hybrid collocation method is suitable for solving a class of FDEs, the derivative of the solution of which has singularity near the left end point of the interval consid-ered. 本文主要研究求解分数阶微分方程的混合配置方法及自适应配置算法。混合配置方法适用于求解一类解的导数在所考虑区间的左端点附近具有奇异性的分数阶微分方程。
All the researchers of cooperative learning in China and foreign countries attach importance to the valued differential resources between the students. Therefore students-students interaction is adopted and applied extensively in the class. 中外合作学习的研究者都很重视生生之间这种宝贵的差异资源,因而在课堂中广泛采纳和应用生生互动这种教学形式。
Main contributions of this dissertation are summarized as follows: 1. Research on the impossible differential characteristic of a class of SP structure block cipher. 主要做出了以下几方面的工作:1.分析了一类SP结构分组密码算法的不可能差分分析性质。
We investigate differential properties of a class of set-valued maps and gap functions involving vector equilibrium. 研究了和向量均衡问题有关的一类集值映射和间隙函数的可微性质。