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mixed problems
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  混合问题
     On the Blowing up Properties of Solution of the Mixed Problems for Nonlinear Schrdinger Equations
     关于非线性Schrdinger方程混合问题解的爆破
短句来源
     On Discrete Phenomenon in Mixed Problems
     关于高维混合问题唯一性的离散现象
短句来源
     This paper discusses the blowing up properties of solutions of the mixed problems for nonlinear Schrodinger equations u_t+i△u=f(u, ▽u)by introducing the blowing up factors k (u, ǖ).
     本文通过引入爆破因子k(u,ū),讨论了非线性schrūdinger方程u_t+iΔu=f(u,▽u)的混合问题解的爆破性质。
短句来源
     Blow up of Solutions to the Mixed Problems for Nonlinear Schrodinger Equations
     非线性Schrodinger方程混合问题解的爆破
短句来源
     On the Blowing-up and Mass Concentration of Solutions to the Mixed Problems for Nonlinear Schrodinger Equations
     关于非线性Schrodinger方程混合问题解的破裂和质量集中
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  “mixed problems”译为未确定词的双语例句
     THE METHOD COUPLING SCHWARZ ALTERNATE AND TWO-SCALE ANALYSIS METHOD FOR SOLVING MIXED PROBLEMS WITH SMALL PERIODIC COEFFICIENTS
     求解小周期系数的混合边值问题Schwarz交替法与双尺度渐近分析法的耦合
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     ON THE SPACE/TIME FINITE ELEMENT METHOD OF A CLASS OF MIXED PROBLEMS
     一类混合型问题的空间\时间有限元方法研究
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     A MULTIGRID ALGORITHM FOR MIXED PROBLEMS
     混合方程的多重网格算法
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     On the Mixed Problems with Periodic Cracks in an Infinite Anisotropic Elastic Plane with Different Materials
     带周期裂缝的不同材料拼接的各向异性弹性平面混合边值问题(I)
短句来源
     On the Mixed Problems with Periodic Cracks in an Infinite Anisotropic Elastic Plane with Different Materials(II)
     带周期裂缝的不同材料拼接的各向异性弹性平面混合边值问题(Ⅱ)
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  相似匹配句对
     On Discrete Phenomenon in Mixed Problems
     关于高维混合问题唯一性的离散现象
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     Problems
     问题
短句来源
     On the Mixed problems of periodic Analytic Functions
     周期解析函数的混合问题
短句来源
     On Problems with Referendums
     全民公决的若干问题
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     On the Mixed Powerdomain
     关于混合Domain的几个问题
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  mixed problems
Resultant forces and moments in mixed-mixed problems of the theory of elasticity
      
For the particular cases of homogeneous isotropic and transversely isotropic materials, this theorem provides necessary and sufficient conditions for uniqueness of solution to the mixed problems posed.
      
Addendum to 'asymptotic eigenfunctions of mixed problems of Stekloff's type': Extension to exterior problems
      
Asymptotic eigenfunctions of mixed problems of Stekloff's type
      
Extremal principles and isoperimetric inequalities for some mixed problems of Stekloff's type
      
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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。

In this paper we consider a maximum principle of differential equation of the form: u_(xyz)-a(x)u_(yz)-b(y)_(zx)-c(z)u_(xy)-d(y,z)u_x -e(x,z)u_y-f(x,y)u_z-g(x,y,z)u=0 (1) Obtained results show:If Coefficients of equation (1) satisfy some conditions, then maximum principle of Cauchy's problem and mixed problem hold. The same principle for second order hyperbolic equation was proved by several Authors.(see [1]-[5]) In order to prove a maximum principle we have to establish the positive de- finite property...

In this paper we consider a maximum principle of differential equation of the form: u_(xyz)-a(x)u_(yz)-b(y)_(zx)-c(z)u_(xy)-d(y,z)u_x -e(x,z)u_y-f(x,y)u_z-g(x,y,z)u=0 (1) Obtained results show:If Coefficients of equation (1) satisfy some conditions, then maximum principle of Cauchy's problem and mixed problem hold. The same principle for second order hyperbolic equation was proved by several Authors.(see [1]-[5]) In order to prove a maximum principle we have to establish the positive de- finite property of Reimann's function.In section 1 of this paper we discuss this property.In section 2 and 3,with the help of results obtained in section 1 we prove a maximum principle.

在本文中我们考虑了如方程:u_(xyz)-a(x)u_(yz)-b(y)u_(zx)-c(z)u-(xy)-d(y.z)u_x-e(x.z)u_y-f(x.y)u_z-g(x.y.z)u=0 (1)的极值原理。所获得的结果表明:如果方程(1)的系数满足某些条件,则柯西问题与混合问题的极值原理成立。二阶双曲型方程类似的极值原理已被一些作者研究过了(见为了证明极值原理,我们需要建立 Reimann 函数的正定性。在§1中我们讨论了这个性质,在§2与§3中我们利用在§1中已获得的结果证明了极值原理。

In this paper the mixed problem of the 3rd order linear Bianchi equation Bu≡u_(xyz)-au_(yz)-bu_(zx)-cu_(xy)-du_x-eu_y-fu_z-gu=F and some boundary problems are particularly studied. The effect of a reflection of wave on a fixed point is ivestigated geometrically. We have developed the method adopted by J. Hadamard for solving the mixed problem of Laplace hyperbolic equation into the 3rd order Bianchi equation and proposed a condition characterizing Hadamard function. Finally, an expression...

In this paper the mixed problem of the 3rd order linear Bianchi equation Bu≡u_(xyz)-au_(yz)-bu_(zx)-cu_(xy)-du_x-eu_y-fu_z-gu=F and some boundary problems are particularly studied. The effect of a reflection of wave on a fixed point is ivestigated geometrically. We have developed the method adopted by J. Hadamard for solving the mixed problem of Laplace hyperbolic equation into the 3rd order Bianchi equation and proposed a condition characterizing Hadamard function. Finally, an expression of the solution is obtained.

本文具体讨论了三阶线性Bianchi方程 Bu≡u_(xyz)-au_(yz)-bu(zx)-cu(xy)-du_x-eu_y-fu_z-gu=F的混合问题和一些有关的定解问题。文中从几何上处理了波的反射对一定点的影响。把J.Hadamard关於Laplace双曲型方程混合问题的处理方法推广到三阶Bianchi方程上去,提出了刻划Hadamard函数的条件,最后,得到了解案的表达式。

 
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