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 Existence of solutions of terminal value problems for first-order differential equations in Banach space Banach空间一阶微分方程终值问题解的存在性 短句来源 Analysis of First-order Differential Equation in More Second Order Circuits 高阶电路的一阶微分方程分析 短句来源 The second-order N-dimensional radial Schrdinger differential equation with the isotropic harmonic oscillator is reduced to a first-order differential equation by means of the Laplace transform, and then, its solutions are directly obtained by means of making use of an integral. 用Laplace变换把二阶N维各向同性谐振子的径向Schr dinger微分方程退化为一阶微分方程,然后用直接积分法求出一阶微分方程的解. 短句来源 The second-order one-dimensional Schrdinger differential equation for the harmonic oscillator is reduced to a first-order differential equation by means of the Laplace transform,and then,its solutions are obtained by means of directly making use of an integral. 用Laplace变换把二阶一维谐振子的Schr dinger微分方程退化为一阶微分方程,用直接积分法求出一阶微分方程的解. 短句来源 Master equations which normally appear as an infinite set of first-order differential equations coupled with each other are simplified to 4 independent equations, leading to Bloch equations for dressed atoms through which all the coherent interactions of atoms with light can be extended to the case of dressed atoms. 把无限多个互相耦合的一阶微分方程(主方程)简化为四个独立的方程,从而得到Dressed原子与探测光相互作用的Bloch方程,可以把普通原子与光相干相互作用的全部过程推广到Dressed原子。 短句来源 更多 一阶差分
 In time series forecasting,a novel criterion has been presented based on the mechanism of first-order differential and minimum variance error under multiple components reconstruction. 结合ICA在时间序列预测的应用,给出了基于一阶差分和最小方差误差的多分量联合重构预测排序准则。 短句来源 In the proposed MPC,the first-order differential equations were derived from the transfer functions of controlling variables and controlled variables in CSC,and the equations were used as predictive control model. 改进的MPC根据CSC控制量与被控制量的传递函数得出CSC的一阶差分方程作为预测控制模型,同时保留传统MPC反馈校正、动态优化等优点. 短句来源 In the proposed MPC,the first-order differential equations were derived from the transfer functions of controlling variables and controlled variables in PWM-CSR,and the equations were used as predictive control model,meanwhile,the uncertain factor reference trajectory was left out. Consequently,considerable computation and inconvenient realization of traditional MPC were avoided and the merits of feedback correction and dynamic optimization of traditional MPC were reserved in the new MPC. 改进的方法从PWM-CSR控制量与被控制量的传递函数入手,得出整流器的一阶差分方程作为预测控制模型,同时省略传统模型预测控制(MPC)中参考轨迹这一不确定因素,因而克服了传统MPC计算量大,实现困难的缺点,并保留了传统MPC反馈校正、滚动优化的优点。 短句来源 Compared with other similar methods,this algorithm doesn′t need phase estimation. It estimates signal Doppler frequency shift directly by first-order differential structure. This technique may be easily implemented in programmable digital device,and calculate can target-radar radial velocity. 与其他数字鉴频方式不同,该算法无须进行鉴相,而直接采用一阶差分计算目标信号多普勒频移,便于在可编程数字器件中实现,实时计算目标———雷达径向速度。 短句来源 “first-order differential”译为未确定词的双语例句
 In the paper a method of identifying parameters a, b, c, d, and r in a kind of time-varying linear first-order differential equation system dx(t)dt=ax(t)+br -t y(t),dy(t)dt=cr tx(t)+dy(t) is introduced. 本文给出一类时变一阶线性微分方程组：dx（t）dt＝ax（t）＋br－ty（t），dy（t）dt＝crtx（t）＋dy（t）的参数a，b，c，d，r的一种辨识方法 短句来源 Curve Fitting Based on a Linear First-order Differential Equation 基于—阶线性微分方程的曲线拟合法 短句来源 The Existence and Uniqueness of Periodic Solutions for the Fully Nonlinear First-order Differential Equations 一阶完全非线性微分方程周期解的存在唯一性 短句来源 Global Asymptotic Stability of One Nonlinear System of 4 First-Order Differential Equations 一类非线性四阶微分方程组的全局稳定性 短句来源 This paper established the existence and uniqueness of periodic solutions for the fully nonlinear first-order differential equations under some natural structure conditions by using viscosity-solutoin method. 本文在适当的自然结构条件下，采用粘性解理论的新方法，证明了一阶完全非线性微分方程周期解的存在唯一性。 短句来源 更多 查询“first-order differential”译词为用户自定义的双语例句

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 In the present paper we obtain an approximate first-order differential equation for the frequency squared, using the filling level as the independent variable. An ordinary first-order differential equation is obtained for the velocity distribution along the profile in . In the present study, the solution of this type of equation is reduced to the integration of a chain of linear first-order differential equations. The system of three non-linear first-order differential equations has kinetic energy and circulation integrals representing two ellipsoids with displaced centers in parameter space. The problem is reduced to two essentially nonlinear first-order differential equations for the velocity and concentration of ions. 更多 Recently, digital computers are gradually used to replace analog or hybrid computations for implement of continuous-system simulations. Digital continuous-system simulation has significant advantages: better man-machine interaction, higher accuracy and reproducibility, more convenient programming and report generation, etc.The simulation user would like to have a more convenient and flexible simulation language, in order to be as free as possible from the details of computer programming and concentrate on his... Recently, digital computers are gradually used to replace analog or hybrid computations for implement of continuous-system simulations. Digital continuous-system simulation has significant advantages: better man-machine interaction, higher accuracy and reproducibility, more convenient programming and report generation, etc.The simulation user would like to have a more convenient and flexible simulation language, in order to be as free as possible from the details of computer programming and concentrate on his system simulations. An equation-oriented BASIC simulation language which permits the user to enter first-order differential equations in essentially unchanged mathematical form is introduced in this paper. It may run on any machine which supports BASIC. The user does not even have to be familiar with BASIC so long as he follows the simple format specified. A computing example is given to illustrate its application. 近年来,已逐渐用数字计算机代替模拟计算机或混合计算机来实现连续系统的仿真。连续系统的数字仿真的显著特点是:便于人机对话,求解精度高和重复性好,容易编排程序和输出计算结果。但是,为了避开编程序的细节和把精力集中在系统仿真上,系统仿真者希望有一个方便和灵活的仿真语言。本文介绍一种面向方程的BASIC仿真语言,它允许用户直接用一阶微分方程组的数学表达式写入,并能在任何一台配置BASIC语言的数字机上运算。使用时只要遵循规定的简单格式而不用去熟悉BASIC语言的细节。文中附有阐述用法的计算实例。 In this paper the differential equationis discussed and conditions are found which the functions P1(x), P2(y), Q1(x) and Q2(y) must satisfy for the equation to be integrable. It shows that Bernolli's equation is only a special case of this equation, so that a class of first order differential equations can be reduced to integrable cases and can be solved conveniently by elementary methods. 本文讨论了微分方程 dy/dx+P_1(x)P_2(y)=Q_1(x)Q_2(y)在P_1(x),P_2(y),Q_1(x),Q_2(y)满足什么条件下可化为可积类型;并得出了Bernoulli方程仅仅是此种方程的一个特例;从而使一类一阶微分方程能较方便的用初等解法化为求积分问题。 In this paper, starting from the equations of the nonlinear inertio-internal1 gravity waves in stratified shear fluid, and considering the flow about a class of the progressive waves, the autonomous dynamic systems of the first-order differential equations in two variables are derived. Using the qualitative theory of the differential equations, we analyze qualitatively the topological structure of the integral curves in the neighbourhood of the origin on a phase planewith cartesian axes u, v. On... In this paper, starting from the equations of the nonlinear inertio-internal1 gravity waves in stratified shear fluid, and considering the flow about a class of the progressive waves, the autonomous dynamic systems of the first-order differential equations in two variables are derived. Using the qualitative theory of the differential equations, we analyze qualitatively the topological structure of the integral curves in the neighbourhood of the origin on a phase planewith cartesian axes u, v. On the du/dz (the velocity shear), L2-L02 (L is thehorizontal scale, L0 is the Rossby radius of deformation) plane, the integral curves divide the plane into some domains of different stability. 本文从层结切变流体的非线性惯性重力内波的方程组出发,设解为行波的形式并将非线性项在平衡点附近作Taylor展开,导得了两个变量的一阶自治动力系统的常微分方程组。应用常微分方程的稳定性理论,讨论了惯性重力内波的稳定性。分析指出:在考虑了速度垂直切变和非线性作用后,惯性重力内波的稳定性发生了变化,当LL_0时是稳定的结论只是在时才是正确的,当时,L_0~2<0和L>L_0成为不稳定的条件。 本文还讨论了某些条件下非线性惯性重力内波的解析解。 << 更多相关文摘 相关查询

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