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连续依赖性     
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  continuous dependence
     The existence,uniqueness and continuous dependence of solutions on initial conditions and parameter are established by using the Kurzweil-Henstock integral for the local dynamics system of the equation x′(t)=f(x,t)+h(t).
     利用Kurzweil-Henstock积分,建立了形如x′(t)=f(x,t)+h(t)型方程解的存在唯一性定理以及解对初值及参数的连续依赖性定理.
短句来源
     The paper analyses the existence and uniqueness of solution of certain functional equation(x) with time-mixed effect about inital valueφ∈([-σ,0],E) and discusses its continuous dependence about f、g、δ、.
     本文主要讨论一类带有时间混合效应的泛函积分方程(*)关于初值φ∈([-σ,0],E)的解的存在性、唯一性,以及关于f,g,δ,φ的连续依赖性
短句来源
     This paper is concerned with the global existence, uniqueness of H2generalized solutions and continuous dependence on the initial data of Higeneralized global solutions (i=1,2) to the initial boundary value problem with the Dirichlet boundary conditions for the compressible NavierStokes equations of a onedimensional viscous polytropic ideal gas for large initial data.
     研究具有Dirichlet边界条件和"大"初值的一维粘性多方理想气体可压缩Navier-Stokes方程组的初边值问题H2广义解的整体存在性、唯一性及Hi(i=1,2)广义解对初值的连续依赖性.
短句来源
     Reaction Diffusion Equations with Infinite Delay—Existence and Continuous Dependence of Solutions
     含无限时滞的反应扩散方程——解的存在性和连续依赖性
短句来源
     when d(f 1,f 2)<ε,the modeling problem has continuous dependence and harmoniablity about valued function.
     证明了,当d(f1,f2)< εC 时,模糊矩阵对策模型问题关于价值函数f1 (x),f2(x)具有连续依赖性和可调和性。
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  continuous reliance
     Solution's Continuous Reliance about the Coefficent Functions in Boundary Value Problems
     基本边值问题的解对系数函数的连续依赖性
短句来源
     This paper discusses the stability of the solution for sigular integral equations with Hilbert kernel on  and the stable conditions under Chebyshev module. It states, consequently, the solvability of the disturbed equation and the continuous reliance on the known functions for the solution of the equation.
     本文在Chebyshev模下讨论了带Hilbert核奇异积分方程解的稳定性及其稳定性条件.证明了扰动方程的可解性及原方程的解对于已知函数的连续依赖性
短句来源
     In this paper,under the regular condition,we study the continuous reliance that the solution of the classical Riemamm boundary value problems depend on the coefficent functions on closed smooth curves.
     在正则型条件下,讨论了封闭曲线上基本Riemamm边值问题的解对于系数函数的连续依赖性
短句来源
     In this paper, we discuss the continuous reliance on the known functions for the solutions of the Boundary Value Problems, study the normatization and stability of singular integral equations on a closed smooth curve.
     讨论了在封闭曲线上,边值问题的解对于已知函数的连续依赖性、带Cauchy核奇异积分方程的归一化及其解的稳定性问题.
短句来源
     With the discussion of the continuous reliance of the fixed point of the single contractive mapping on R~d with reference to a parameter,this paper comes to conclude one property of similar-set sequence which is fixed by the sequence of the similar Iterated Function System.
     在讨论了Rd上单个压缩映射的不动点对参数的连续依赖性后,我们导出了相似迭代函数系统列所确定的自相似集列的一个性质.
短句来源
  continuous dependency
     Based on the nonlinear Boltzmann model equation, the unified simplified velocity distribution function equations adapted to various flow regimes can be presented. The discrete ordinate method is applied to the reduced distribution functions in order to replace their continuous dependency on the velocity space, and then the kinetic model equation will be cast into hyperbolic conservation laws form with nonlinear source terms.
     从非线性模型Boltzmann方程出发 ,引入简化速度分布函数、使用离散速度坐标法对速度空间进行离散、降维 ,去掉分布函数对速度分量的连续依赖性 ;
短句来源
     The two dimensional generalized KdV Burgers equation with a forcing function is discussed. The continuous dependency and boundedness of the anti periodic traceling wave solution are proved, and the estimating expressions for the solution are given.
     讨论了二维广义非齐次KdV Burgers方程{ut+[f(u) ]x+αuxx+βuxxx} x+δuyy =gt≥ 0 ,x ,y∈R的反周期行波解的连续依赖性、解的有界性以及估计式 .
短句来源
  continuing dependence
     In this paper,we discuss the stability of singular integral equations with Hilbertkerel on H(w). This article gives the stability conditions,gets the estimation of the solutionfor the disturbed equation, and proves the continuing dependence of the solution for theknown functions.
     讨论了H(ω)上带Hilbert核奇异积分方程解的稳定性,给出了稳定性条件,推得了扰动方程解的估计,证明了方程的解对于已知函数的连续依赖性
短句来源

 

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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
          
    更多          
      continuous dependency
    This includes the existence of a unique solution, the continuous dependency of the solution on the data, and the stability problem of a steady-state solution.
          
      continuing dependence
    China's continuing dependence on coal suggests a need for a cost-effective strategy to address SO2 and acid rain impacts.
          
    Because of the continuing dependence on foreign loans, interest payments continue to have a very large share of the budget.
          
    Programs and projects that encourage self-sufficiency rather than continuing dependence on W.
          
    That difference, however, does not alter my continuing dependence on much of his overall approach to theology and ethics.
          


    This paper discusses three kinds of typical improperly posed problems in interpretation of geophysical informations, i.e., Cauchy's problem for Laplace's equation, time-directional Cauehy's problem for wave equation and Cauehy's problem for the equation of heat conduction. The main contents are presented as follows:1. We state succinctly the questions in relation to three kinds of typical improperly posed problems and pay spacial attention to several points when solving these problems.2. We establish a new formulation...

    This paper discusses three kinds of typical improperly posed problems in interpretation of geophysical informations, i.e., Cauchy's problem for Laplace's equation, time-directional Cauehy's problem for wave equation and Cauehy's problem for the equation of heat conduction. The main contents are presented as follows:1. We state succinctly the questions in relation to three kinds of typical improperly posed problems and pay spacial attention to several points when solving these problems.2. We establish a new formulation of definite problem more close to physical practice and give an estimate of the continuous dependence of its solutions.3. We give the estimates of Holder continuous dependence of the solutions for three kinds of typical improperly posed problems.

    本文讨论地球物理资料解释中三类典型的不适定问题,主要内容如下: 1.综述与三类典型不适定问题有关的问题及研究概况; 2.建立一个更接近物理实际的不适定问题的新提法; 3.给出三类典型不适定问题解的Hlder连续依赖性的估计式。

    This paper presents several generalizations of Gronwall-Bihari-Wendroff inequality and Langenhop's inequality in n independent variables.These inequalities are applied to obtain a priori bounds of solutions and to prove the continuous dependence of the solution on the boundary data for the characteristic boundary value problems of a class of hyperbolic differential and integro-differential equations in n independent variables.

    本文推广Gronwall-Bihari-Wendroff不等式及Langenhop不等式到n个变数的情形,而且放宽了条件,提高了精确度;然后把所得到的不等式应用于一类双曲型微分方程及积分微分方程,得出特证边值问题的解的先验界,证明解对边界条件的连续依赖性.

    This paper,which is based on the Schauder fixed-point theorem,discusses the general theory of functional differential equations with delays,it includes the existence,uniqueness,continuous dependence and continuationof solutions,at the same time it supplements and generalizes some theoremin the paper[1].

    本文在引进Schauder 不动点定理的基础上讨论了具有延迟因子的泛函微分方程的一般理论,包括解的存在性、唯一性、连续依赖性以及解的延拓性质,并对文献[1]中的某些定理作了补充和推广。

     
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