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无限间断
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     In this paper, the result in the case of infinite gaps on the boundary under certain conditions has been generalized.
     本文试推广到边界上无限间断解的情形,满足一定条件,使唯一性仍成立。
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  相似匹配句对
     INFINITE ELEMENT METHOD FOR VARIATIONAL INEQUALITIES WITH DISCONTINUOUS COEFFICIENTS
     间断系数变分不等方程的无限元方法
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     Discontinuous and Impulsive Excitation
     间断和脉冲激励
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     Siemens AG Information & Communication Networks
     网络无限
     The Integral as Infinite Sum
     积分当作无限
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     (2)Discontinuous type;
     ②间断型;
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  infinite gap
We compute and study localized nonlinear modes (solitons) in the semi-infinite gap of the focusing two-dimensional nonlinear Schr?dinger (NLS) equation with various irregular lattice-type potentials.
      


The present paper is a s ummary of our recent research works [1-5] on optimum design of thin, solid, elastic plates. Within the context of thin plate theory, we first study the traditional formulation for optimal design, and then proceed to a new formulation, which is based on a densely, integrally stiffened plate model. Both numerical and analytical results reveal that a global optimal thickness ful1ction for thin, solid, elastic plates does genera- lly not exist within the class of continuous functions, or...

The present paper is a s ummary of our recent research works [1-5] on optimum design of thin, solid, elastic plates. Within the context of thin plate theory, we first study the traditional formulation for optimal design, and then proceed to a new formulation, which is based on a densely, integrally stiffened plate model. Both numerical and analytical results reveal that a global optimal thickness ful1ction for thin, solid, elastic plates does genera- lly not exist within the class of continuous functions, or continuous functions with a finite number of discontinuities, and shou1d instead be sought within the class of functions with an infinite number of discontinuities. In cases where smooth(or partially smooth) designs are possible, a now necessary condition for optimality should be applied.

本文是我们最近关于实心弹性薄板最优设计[1-5]的一个扼要总结。在薄板理论内,我们先研究传统提法,然后讨论新的、以密级加肋板模型为基础的提法。数值和解析结果两者揭示了实心弹性薄板的全局最优解在连续函数类和只有有限个问断的连续函数内并不存在,而应在只有无限间断的函数类内寻找。当光滑解可能时,本文给出一个新的最优化必要条件.

The uniqueness of the solution of the Dirichlet problem for the poisson equation, when there are finite gaps on the boundary was proved by M. H. Protter & H. F. Wetnberger[1] using the Phragmen-Lindelof principle. In this paper, the result in the case of infinite gaps on the boundary under certain conditions has been generalized.

M.H.Protter & H.F.Weinberger在〔1〕中应用Fhragmen-Lindclof原理及推论论证了Poisson方程Dirichlet问题在边界上有限间断解的唯一性。本文试推广到边界上无限间断解的情形,满足一定条件,使唯一性仍成立。

 
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