查询词典 boundary value problem

A multi-layer viscoelastic model is developed, and the boundary-value problem under linear conditions about the multi-layer model is solved. Calculated values of wavelength and damping rate of wave height are compared with measured data. It is showed that the transformation of regular waves over muddy bottoms can be successfully predicted by this model.

建立了多层粘弹性体模型，求解了多层模型在线性化边界条件下的定解问题，得到了规则波在泥床上传播时波要素变化的理论值，并同大量实验数据进行了比较，结果表明，多层模型能够成功地预报规则波在泥床上的传播规律。

Under a resonance condition,a unique existence of generalized solution to the Direchlet boundary value problem of the semi-linear elliptic partial differential equations is given,and this extended partially the results that was known.

利用极小极大原理，在共振条件下，证明了一个半线性椭圆偏微分方程Direchlet边值问题广义解的存在唯一性定理，从而推广了已知的一些结果。

The second part is devided into two chapters, it\'s main aim is to study the global solutions to 1-d compressible Navier-Stokes equations, and it is organized as follows:In Chapter 2, we introduce the second boundary value problem for the compressible Navier-Stokes equations in the half space.

第二部分分为二章，主要讨论一维可压Navier-Stokes方程整体解的存在性，其中：第二章讨论了不可渗透问题(流体的速度在边界上为0情形)，其中对温度给出了第二边值条件。

The existence of triple positive solutions for second order multi-point boundary value problem is investigated by using Avery-Peterson fixed point theorem. Gives the sufficient conditions for the existence of three positive solutions of the problems.

研究一类二阶非线性微分方程的n点边值问题正解的存在性，应用Avery-Peterson不动点定理，给出这类边值问题至少存在3个正解的充分条件。

Based on the given results of second order boundary value problem, the existence of solutions of nonlinear differential-difference equation and unique of solutions of Hammerstein type integro-differential-difference linear equation were established because Hammerstein linear equation featured only one solution.

以二阶边值问题的已知结果为基础，建立了微分差分非线性方程解的存在性，以及Hammerstein型线性方程解的唯一性。

Linear triangular element is considered to solve the second order elliptic boundary value problem in 2-D. By using of the distinctive structure and some novel approaches, we obtain the super-close and superconvergence results on certain kind of anisotropic meshes.

讨论在有限制的各向异性网格下用线性三角形有限元逼近二阶椭圆边值问题，利用单元构造的特殊性和一些新的技巧得到相应的超逼近和超收敛结果。

By constructing suitable cone and applying the decomposition technique of equation,the positive solutions are investigated for a class of semilinear fourth-order boundary value problem s with first derivative.

通过构造适当的锥并且利用方程的分解技巧研究了一类含一阶导数的半线性四阶边值问题的正解。

In this paper,we discuss the existence of positive solution for singular positive boundary value problem of second order differential equations by using a general cone fixed point theorem .

利用一个普通的锥不动点定理研究了二阶奇异非共振边值问题正解的存在性。

In the last thirty years, singular boundary value problem in Banach space has become one of the most important problems that attract the attention of more and more mathematicians and other technicians see.

近年来，由于Banach空间中的奇异边值问题在气体动力学、流体力学、边界层理论、非线性光学等应用学科的研究中具有较高的实用价值，该问题逐渐成为国内外数学工作者和其他科技工作者所关心的重要问题之一(见[9]-[11]、[15])。

This paper deals with the singular perturbation of the boundary value problem of a class of third order nonlinear differential equations.

研究一类三阶非线性微分方程边值问题的奇摄动，由于退化问题是一阶微分方程，将失去两个初值条件，所以摄动解在x=0的某一邻域内将出现非一致性。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。