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first order differential
    ASYMPTOTIC EQUILIBRIUM AND PERIODIC BOUNDARY VALUE PROBLEMS OF FIRST ORDER DIFFERENTIAL EQUATIONS
    一阶微分方程的渐近平稳和周期边值问题
    Monotone Iterative Technique for Initial Value Problems in First Order Differential Equations
    一阶微分方程初值问题的单调叠代术
    The Calculation of the First Order Differential Sensitivity for Network
    网络一阶微分灵敏度的计算
    PERIODIC BOUNDARY VALUE PROBLEMS OF FIRST ORDER DIFFERENTIAL EQUATIONS
    一阶微分方程的周期边值问题
    Problems about the Integrating Factor of First Order Differential Equation
    关于一阶微分方程的积分因子问题
    Unique Existence of the Solutions for the First Order Differential Equations in Banach Spaces
    Banach空间一阶微分方程解的存在唯一性
    The Solution of First Order Differential Equation by Using Integrating Factor
    一阶微分方程的积分因子解法
    The application of th integrating factor of first order differential equation
    一阶微分方程积分因子的应用
    Existence and uniqueness of periodic solutions for first order differential equations in Banach spaces
    Banach空间一阶微分方程周期解的存在唯一性
    Calculation of Integrating Factor for First Order Differential Equation
    有关一阶微分方程积分因子的计算
    Solution-Seeking Formula for Three Kinds of First Order Differential Equations
    三类一阶微分方程的求解公式
    The Existence of Positive Solutions of Infinite Boundary Value Problems in a Banach Space for First Order Differential Systems
    Banach空间中一阶微分方程组的无穷边值问题解的存在性
    GM(1,1) model is the most popular grey dynamic predictive model in the grey system theory ,which is made up of first order differential equation about one variable.
    GM(1,1)模型是灰色系统理论中应用最广泛的一种灰色动态预测模型,该模型由一个单变量的一阶微分方程构成。
    On the basis of the Tellegen's Theorem and the concept of multi-element --function differential calculus, this paper makes a systematic derivation of the formulae of the first order differential sensitivity used in a nonlinear di- ret current network.
    本文运用特勒根定理及多元函数微分的概念系统推导出非线性直流网络一阶微分灵敏度的计算公式。
    The aims of this paper is the quantitative analysis for nonlinear dynamic network and the discussion of the calculating method of its first order differential sensitivity.
    旨在对非线性动态网络进行定量地分析,讨论其一阶微分灵敏度的计算方法。
    Discussed in this paper is a class of nonlinear parabolic differential equations with forced oscillation in various boundary conditions. Green's formula is used to study the forced and nonhomogeneous term of boundary conditions. Necessary conditions are thus obtained for the existence of nonoscillatory and positive solutions for a first order differential inequality.
    研究了一类具偏差变元的非线性抛物方程解的强迫振动性,利用Green公式.不等式的估计,将强迫项和边值条件的非齐次项在一定限制下并入方程首项,得到了方程存在非振动解的必要条件是一类一阶微分不等式有终归正解,然后,通过对一阶微分不等式的研究,建立了该方程所有解振动的若干充分判据.
    We shall show sufficient and necessary condition that first order differential equation M(x,y)dx+N(x,y)dy=0 have 1,μ(x,y)=F(ax+by),2,μ(x,y)-G(xy), 3,μ(x,y)=exp[∫f(x)dx+∫g(y)dy] three forms integrating factors. 
    给出了一阶微分方程M (x ,y)dx +N(x ,y)dy =0 ,具有1.μ(x ,y) =F(ax +by) ,  2 .μ(x ,y) =G(xy) ,3.μ(x ,y) =exp[∫f(x)dx +∫g(y)dy]三种形式的积分因子的充要条件
    Using the topological degree theory, the author proves several existence theorems of solutions between lower and upper solutions for periodic boundary value problems of first order differential equations, where the lower and upper solutions \$α(t)\$ and \$β(t)\$ need not satisfy relations \$α(0)≤α(2π),β(0)≥β(2π).
    该文用拓扑度理论证明了一阶微分方程周期边值问题关于下解与上解之间解的存在性的两个定理 ,这里下解 α( t)与上解 β( t)可以不满足关系 α( 0 )≤ α( 2 π) ,β( 0 )≥ β( 2 π)。
    F(x)∈C′,G≠0.Then first order differential equationdydx-G′(x)G(x)y=Q(x)Ф(y+F(x)G(x))+G′(x)G(x)F(x)-F′(x)is integrable and possesses parameter formal general solution.
    F(x)∈C′,G≠0,则一阶微分方程dydx-G′(x)G(x)y=Q(x)Ф(y+F(x)G(x))+G′(x)G(x)F(x)-F′(x)可积,且具有参数形式的通解.
    Taking the superstructure as elastomer and the simulating the time delay with a first order differential equation, the state equations of motion for this system were developed, the controllable friction force of sliding structure was calculated by using instantaneous optimal control method.
    考虑上部结构的刚度和阻尼,采用一阶微分方程模拟时滞的影响,与结构的振动微分方程一起作为整个系统的状态方程,使用瞬态最优控制算法计算基底摩擦力的大小,通过计算实例对这种摩擦力可控的滑移隔震半主动控制方案进行了分析.
 

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