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边值     
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  boundary value
    Periodic Solutions for Delay Differential Equations and Boundary Value Problems for Differential Equations
    时滞微分方程周期解与微分方程边值问题的研究
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    High Order Singular Integrals and Boundary Value Problems in Clifford Analysis
    Clifford分析中高阶奇异积分和边值问题
短句来源
    The Discussion of Some Nonlinear Operators and Applications to Boundary Value Problems for Differential Equations
    若干非线性算子的讨论及其在微分方程边值问题中的应用
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    Periodic Solutions and Boundary Value Problems for Discrete Hamiltonian Systems
    离散Hamilton系统周期解与边值问题
短句来源
    Second order Hamiltonian Systems and Elliptic Resonant Boundary Value Problems
    二阶Hamilton系统与椭圆共振边值问题
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  boundary
    Periodic Solutions for Delay Differential Equations and Boundary Value Problems for Differential Equations
    时滞微分方程周期解与微分方程边值问题的研究
短句来源
    High Order Singular Integrals and Boundary Value Problems in Clifford Analysis
    Clifford分析中高阶奇异积分和边值问题
短句来源
    The Discussion of Some Nonlinear Operators and Applications to Boundary Value Problems for Differential Equations
    若干非线性算子的讨论及其在微分方程边值问题中的应用
短句来源
    Periodic Solutions and Boundary Value Problems for Discrete Hamiltonian Systems
    离散Hamilton系统周期解与边值问题
短句来源
    Second order Hamiltonian Systems and Elliptic Resonant Boundary Value Problems
    二阶Hamilton系统与椭圆共振边值问题
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更多       
  boundary-value
    On Solving the Boundary-value Problem of Biharmonic Equation in Rectangular Region with Difference Method(I)
    关于差分法解矩形区域上重调和方程的边值问题(Ⅰ)
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    A Gencral Method for Finding the Functional from Operator Equations in the Boundary-value Problems
    由边值问题的算子方程返求泛函的普遍方法
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    Initial Boundary-Value Problems for a Class of Quasilinear Partial Differential Equations of Higher Order
    一类高阶拟线性方程的初边值问题
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    Singular Perturbation Solution of Boundary-value Problem for Second-order Differential-Difference Equations
    二阶微分差分方程边值问题的奇摄动解
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    Singular Perturbation Solution of Boundary-value Problem for Secondorder Differential-Difference Equations
    二阶微分差分方程边值问题的奇摄动解
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  boundary values
    THE COMBINED METHOD BETWEEN ORIGINAL ENERGY METHOD AND FINITE ELEMENT METHOD FOR SOLVING LAPLACE'S BOUNDARY VALUES WITH SINGULARITIES
    具有奇点的Laplace方程边值问题的原始能量-有限元结合法
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    A THEOREM ON BOUNDARY VALUES OF INTEGRALS OF CAUCHY-TYPE AND ITS APPLICATIONS
    Cauchy 型积分的一种边值定理及其应用
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    Existence of Solutions of Periodic Boundary Values for Random Impulsive ODEs
    二阶随机脉冲微分方程周期边值问题随机解的存在性
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    HIGH ORDER TRIDIAGONAL OCI DIFFERENCE SCHEME FOR ORDINARY DIFFERENTIAL EQUATIONS WITH BOUNDARY VALUES
    常微分方程边值问题的高阶三对角OCI差分法
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    A PROBABILISTIC APPROACH TO ONE CLASS OF NONLINEAR DIRICHLET'S PROBLEMS WITH INFINITE BOUNDARY VALUES
    一类具有无穷边值非线性Dirichlet问题的概率解
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  boundary value
The sampling theorem is a Kramer-type sampling theorem, but unlike Kramer's theorem the sampling points are not necessarily eigenvalues of some boundary value problems.
      
We study boundary value problems for the time-harmonic form of the Maxwell equations, as well as for other related systems of equations, on arbitrary Lipschitz domains in the three-dimensional Euclidean space.
      
We study boundary value problems for the time-harmonic form of the Maxwell equations, as well as for other related systems of equations, on arbitrary Lipschitz domains in the three-dimensional Euclidean space.
      
The main emphasis is on Hardy spaces and boundary value problems, and our aim is to identify the geometric and analytic assumptions guaranteeing the validity of basic results from complex function theory in this general setting.
      
In the second part, where we explore connections with Maxwell's equations, the main novelty is the treatment of the corresponding electro-magnetic boundary value problem by recasting it as a 'half' Dirichlet problem for a suitable Dirac operator.
      
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  boundary
The main idea for our approach relies on a study of the boundary theory we established for the general CAT(-1) spaces.
      
LetD be a Hermitian symmetric space of tube type,S its Shilov boundary andG the neutral component of the group of bi-holomorphic diffeomorphisms ofD.
      
Taking a specific determination of its argument and studying its limit when approaching the Shilov boundary, we are able to define a ?-valued,G-invariant kernel for triples of mutually transversal points inS.
      
For every orbitGυ which is not polynomially convex we construct an analytic annulus or strip inG?υ with the boundary inGυ.
      
Such properties are expressed using the Furstenberg boundary of the associated symmetric space ? × ?.
      
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  boundary-value
This approach aids in constructing a transformation for reducing the initial problem to a boundary-value problem for slow variables and two initial-value problems for fast variables.
      
In this paper, boundary-value problems of the principle of the maximum are numerically solved by the shooting method.
      
It allows one to formalize an algorithm of change from the problems of optimization to a boundary-value problem for a system of ordinary differential equations in the case of any optimization problem for which the pulse formulation makes sense.
      
The stability condition is formulated in terms of the eigenvalues of the linear boundary-value problem which arises in considering the question of the potential energy minimum.
      
A more detailed presentation of the algorithm of this method in application to boundary-value and variational problems is given in [4].
      
更多          
  boundary values
For the problems of optimal control with fixed boundary values of the phase coordinates, a scheme for establishing the signs of pulses in the procedure of the Pontryagin maximum principle was proposed.
      
By using the dynamic and kinematic conditions for this streamline, nonlinear relations are found linking the boundary values of the logarithms of the complex velocity in each of the two flow regions.
      
A solution to the asymmetric problem obtained in the hodograph plane can be realized physically only for a definite relationship between the boundary values for the flow function.
      
The theorem of the expansion of an arbitrary absolutely integrable function with respect to the boundary values of the eigenfunctions is proved.
      
In such an approach, the problem of constructing the required profile can be formulated as a sequence of corrections of the boundary of the flow region with respect to small variations of the boundary values of the flow velocity.
      
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  其他


~~

本文分爲二部分。第一部分,藉比能曲線解說了固定河床不含懸浮質明渠水流模型試驗的近似相似规律,使得當糙率不能確切的模型化時,可以有根據地來採用加大流量的辦法而求得原型與模型間的相似。第二部分,以擴散理論爲基礎,藉W.E.Dobbin所推導出的不平衡狀態明渠懸浮質運動的(?)分方程式而出發,結合邊值條件推導出含懸浮質明渠水流模型試驗的規律。並爲了增加此規律的應用彈性起見,引入了一個參變數“m”,如是形成了近似的相似規律。

The purpose of this Work is to develop a method for solving the boundary value problem of the exact theory of water waves. The boundary value problem of mixed type of harmonic functions with unknown and non-linear boundary conditions has been reduced to the boundary value problem of mixed type of harmonic functions with known and all-linear boundary conditions. The present metnod has been applied to finding first-order approximate solutions for two different sets of boundary conditlons, and the results obtained...

The purpose of this Work is to develop a method for solving the boundary value problem of the exact theory of water waves. The boundary value problem of mixed type of harmonic functions with unknown and non-linear boundary conditions has been reduced to the boundary value problem of mixed type of harmonic functions with known and all-linear boundary conditions. The present metnod has been applied to finding first-order approximate solutions for two different sets of boundary conditlons, and the results obtained are in agreement with that obtained by Pohle and by Penney and Thornhill.

本文提出解水波准确理论初值问题的一个方法,将原来的求解存在于未知区域并有非线性边界条件的调和函数的混边值问题化为逐次求解一个在已知区域上另有线性边界条件的调和函数混合边值问题,并就两种情况——水(?)渍决而引起的水的运动和被支持在水平面上的开始为静正并成半圆柱形的水的运动——得到了一级近似解,在这两种情况下所得的结果分别与Poble及Penney和Thornhill所得的结果一致。

The boundary-value problems of the linearized supersonic conical fields of thin wings are reduced to the boundary-value problems of analytical functions. Instead of using perturbation velocity potentials as unknown functions[6,7], the n-th partial derivatives of perturbed velocity potentials are used as unknown functions[2]. It is found that the present method is mathematically simple and direct and, moreover, can be used when the boundary-value is an arbitrary homogeneous function.The cases of plane delta wings...

The boundary-value problems of the linearized supersonic conical fields of thin wings are reduced to the boundary-value problems of analytical functions. Instead of using perturbation velocity potentials as unknown functions[6,7], the n-th partial derivatives of perturbed velocity potentials are used as unknown functions[2]. It is found that the present method is mathematically simple and direct and, moreover, can be used when the boundary-value is an arbitrary homogeneous function.The cases of plane delta wings are discussed in detail. The lift and pitching and rolling moments of plane delta wings are calculated by theorem of residues. This technique is much simpler than direct integrations of the pressure distributions. The cases of cruciform triangular wings are also discussed.The present method can be generally used in the linearized supersonic conical flow problems of the first and higher order for the plane and cruciform wings, while the boundary conditions may be cither those of the direct problems, the inverse problems or the mixed problems.

本文在已有的超声速薄翼錐形流問題解法的基础上,提出了一种比較普遍适用而計算又比較簡便的方法。本文的方法是以扰动速度势函数对座标的n阶偏导数为未知函数,将問題化为解析函数的边值問題求解。利用解析函数的性貭,討論了利用留数定理来比較簡便地計算超声速后緣的三角形机翼的升力、俯仰力垣和滾轉力矩的方法。簡要討論了本文方法对十字形三角机翼問題的应用。 本文方法可以計算边界条件中齐次函数是任意齐次函数的情形,而不象某些文献中主要仅限于研究齐次函数是n-1次多項式的情形。这点在实际問題中也是有意义的,例如:具有錐形扭轉的三角机翼的一阶錐形流問題,机翼上各种操纵面的偏轉和运动問題,超声速边緣的問題以及某些升力抵消流場的問題等。 本文方法适用于比較普遍的情形:錐形流可以是一阶的,也可以是高阶的;机翼形状可以是平面形的,也可以是十字形的;边界条件可以是已知翼剖面形状,也可以是已知压力分布,或者一部分已知翼剖面形状而另一部分已知压力分布。 附录中討論了和正文有关的解析函数边值問題及其某些簡单的推广。

 
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