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连续依赖
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  continuous dependence
     The theorem of the continuous dependence of the roots of a palynomial on itscoefficients is of great Importance in the qualitative theory of defferential equation.
     “多项式的根对系数连续依赖”定理在微分方程性理论中占重要地位.
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     By using the theory of the eigenvalue of completely continuous operators andα-concave (orα-convex) operators, we obtain several sufficient conditions which guarantee the existence and unique existence of positive periodic solutions and its continuous dependence on parameter for certain differential equations with piecewise constant argument.
     利用全连续算子的特征值与α-凹(凸)算子理论,得到了一类具有逐段常变量微分方程正周期解存在性、惟—性及其对参数连续依赖的充分条件.
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     In this paper the initial value problem of impulsive differential system is discussed and sufficient conditions for the continuous dependence of solution of the problem on the initial condition and the impulse effect are obtained.
     本文研究脉冲微分系统的初值问题,得到了该问题的解连续依赖于初值及脉冲效应的充分条件。
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     In this paper,the stability robustness bounds for linear system with structured uncertainty are obtained according to the continuous dependence of the eigenvalues of Hermite matrix on its elements,which are constructed by some inequalities.
     利用Hermite矩阵特征值连续依赖其元素的结果,得到了结构摄动线性系统的强健稳定界,它由一些不等式所构成.
短句来源
     In chapter 2, we first discuss the complex Ginzurg-Landau equationsaccording to the conditions that solutions exist, we derive a prior estimates that indicate that solutions depend continuously on some parameters in the governing differential equation μ,ν,αSecondly, in chapter 3, continuous dependence on a modelling parameter is established for solutions of a problem for a complex Ginzurg-Landau equation with p-Laplacian.
     u_t=au-(μ+iν)|u|~2u+(α+iβ)Δu,(x,t)∈Ω×(0,T)根据方程解的存在条件,通过先验估计讨论解连续依赖于方程中的控制系数μ,ν,α。 我们在第三章中主要讨论关于p-Laplacian复金兹堡-朗道方程
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  “连续依赖”译为未确定词的双语例句
     Dependence of the algorithm solution on the disturbance of parameters that represent some characteristic numbers of industrial noises or process structure parameters is investigated.
     文中讨论了优化解集对参数扰动的关系,这些参数代表工业噪声的某些数字特征或过程结构参数等,并得到了优化解连续依赖参数的几个充分性定理。
短句来源
     With prior estimate method, the existence, uniqueness, stability and large time behavior of the solution of second initial_boundary value problem for a fast diffusion equation with nonlinear boundary conditions are investigated. The main results are: 1) there exists only one global weak solution which continuously depends on initial value;
     利用先验估计的方法讨论具非线性第二边界条件的快扩散方程解的存在性、唯一性、稳定性和渐近性· 主要结果是 :1)存在唯的整体广义解 ,解连续依赖于初值 ;
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     With the method of prior estimate, the following results are obtained that: there exists unique smooth positive solution u(x, t) which dependents on initial value continuously in L1, ||u - u||L2 converges to a constant as t →∞.
     利用先验估计的方法得到:存在唯一的光滑正解,解在L1范数意义下连续依赖于初值. t充分大时, ||u-u||L2收敛于一个常数.
短句来源
     This paper proves the existence and uniqueness of generalized solutions of mixed problems for a nonlinear equation with Galerkin method.
     用Galerkin方法研究了一类一般非线性抛物方程的混合问题 ,在给定条件下得到了解的存在唯一性定理 ,并在此条件下得出其解在L2 空间连续依赖于初始条件。
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     ,the solution for limit boundary value problem depends upon the boundary value
     进而证明了极限边值问题的解是连续依赖于边界值的。
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  相似匹配句对
     head continuous with body;
     头连续;
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     Z-continuous Poset
     Z-连续偏序集
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     A NEW PROVE METHOD ON THE PRINCIPLE ABOUT THE DEPENDENCE OF SOLUTION ON THE CONTINUOUS OF INITIAL VALUE
     关于解对初值的连续依赖定理的证明
短句来源
     Dependences of Entanglement Swapping for Continuous Variables on Physical Parameters of Experimental System
     连续变量纠缠交换对系统物理参量的依赖关系
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     Functional Dependencies for XML
     XML的函数依赖
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  continuous dependence
In addition, the continuous dependence of the solution of this equation on the linear dispersive coefficient contained in the equation is obtained.
      
Spline approximation of experimental dependences of lnk on P is used to determine the continuous dependence of the activation volume ΔV# on P in the solvents cyclohexane, anisole, toluene, n-nonane, isopropylbenzene, and tert-butylbenzene.
      
Spline approximation of experimental dependences of lnk on P is used to determine the continuous dependence of the activation volume ΔV# on P in the solvents cyclohexane, anisole, toluene, n-nonane, isopropylbenzene, and tert-butylbenzene.
      
Continuous dependence of an element realizing the minimum of a convex functional on the set of admissible elements
      
Existence and continuous dependence of the solution of a system of operator equations
      
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In this article, a mathematical method for calculation of model of a population Ⅱ star using high speed digital computer is discussed. The model used is the same as that which Hoyle and Schwarzschild have constructed and thereafter Kippenhahn and others have improved. It is suggested that the most simple and practical method to solve In ρ, In P_e, y, z_1, z_2, and In μ, from the view of programming, is the iterative method from (5)', (6)', (7)', (8)', (9)', (10)'. The corresponding condition of convergence is...

In this article, a mathematical method for calculation of model of a population Ⅱ star using high speed digital computer is discussed. The model used is the same as that which Hoyle and Schwarzschild have constructed and thereafter Kippenhahn and others have improved. It is suggested that the most simple and practical method to solve In ρ, In P_e, y, z_1, z_2, and In μ, from the view of programming, is the iterative method from (5)', (6)', (7)', (8)', (9)', (10)'. The corresponding condition of convergence is that the characteristic equation (11) and hence have characteristic roots with moduli less than unity. This is satisfied within the interested range of model compution. Since the characteristic root with the largest modulus is complex, the iterative process converges oscillatorially. Then the formulae (16) and (20) are used to accelerate the iterative process. It is shown from Table 2 that as theintegration is carried on toward the stellar interior, the largest modulus (|x_2|)~1/2 diminishes gradually step by step, and the iterative process ends more rapidly. The whole integration of the envelope solution proceeds by two ways: the improved Euler's method with a step length of Δ In P = 0.0125 and the Rung-Kutta method with changing interval. In integrating the partially degenerate isothermal core, we will require values of the Fermi-Dirac function at points between the pivotal values. For this, Newton's interpolation formulae with divided differences is used. The corresponding error formulae (30) leads to a maximum error of 10~(-6).

本文讨论在电子计算机上计算中型质量恒星模型的数学方法和程序实践。相应的模型是核外包层——产能薄壳——部分简并等温核模型。文中论述了核外包层解对初始值的连续依赖,提出用迭代法同时求解lnρ、lnP_e、y、z_1、z_2、ln_μ,并指明迭代的振动性质和加速迭代的方法。用理查逊外插估计核外包层解的积分精度。在计算核结构时采用牛顿三次插值程序进行费米-狄拉克函数的内插,估计了插值误差。

It has been studied in this paper that a control of distributed parameter systems is contained in coefficients of linear 2nd order elliptic or parabolic equations, which has beencalled the problem of control in the coefficients and applied to a numcer of mathemaitcal physics problems. We first give a sufficient condition under which thesystein state depends continuously on the control. And then we give conditions respectively for the systems governed by the mentioned equations. Under anyone of them the system...

It has been studied in this paper that a control of distributed parameter systems is contained in coefficients of linear 2nd order elliptic or parabolic equations, which has beencalled the problem of control in the coefficients and applied to a numcer of mathemaitcal physics problems. We first give a sufficient condition under which thesystein state depends continuously on the control. And then we give conditions respectively for the systems governed by the mentioned equations. Under anyone of them the system has the optimal control minimizing the given cost functional.

本文研究的分布参数系统特点是:控制含在二阶线性椭园型或抛物型方程的系数中,即所谓系数控制问题,它在许多数学物理问题中有着重要的应用。我们首先给出了一个条件,在此条件下,系统的状态连续地依赖于控制。随后,分别给出了三个充分条件,在每个条件下,系统的最佳控制是存在的。

It has been studied in this paper that a control of distributed parameter systems is contained in coefficients of linear 2nd order elliptic or parabolic equations,which has been called the problem of control in the coefficients and applied to a numcer of mathemaitcal physics problems.We first give a sufficient condition under which thesystein state depends continuously on the control.And then we give conditions respectively for the systems governed by the mentioned equations.Under anyone of them the system has...

It has been studied in this paper that a control of distributed parameter systems is contained in coefficients of linear 2nd order elliptic or parabolic equations,which has been called the problem of control in the coefficients and applied to a numcer of mathemaitcal physics problems.We first give a sufficient condition under which thesystein state depends continuously on the control.And then we give conditions respectively for the systems governed by the mentioned equations.Under anyone of them the system has the optimal control minimizing the given cost functional.

本文研究的分布参数系统特点是:控制含在二阶线性椭园型或抛物型方程的系数中,即所谓系数控制问题。它在许多数学物理问题中有着重要的应用。我们首先给出了一个条件,在此条件下,系统的状态连续地依赖于控制。随后,分别给出了三个充分条件,在每个条件下,系统的最佳控制是存在的。

 
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