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- When f(x,u)=u+p,p=2NN-4, the above problem becomes a critical biharmonic problem. 当 f( x;u) =up;p=2 NN - 4时 ;上述问题就是一个临界双重调和问题 .
- Damage of optical materials induced by SBS process under biharmonic laser irradiation[J]. 引用该论文 郭少锋;陆启生;程湘爱;江厚满;银燕.
- Key words Biharmonic equation positive entire solution close convex subset continuous mapping relative compactness equicontinuity. 本刊中 包含“双调和方程;正整解;闭凸子集;连续映照;相对紧;等度连续.
- In chapter three, we study the wavelet numerical solution of simply-supported boundary value problem of biharmonic equation. 第三章,我们考察了双调和方程简支边值问题的非平稳小波数值解。
- Chapter 2 surveys the application of Green quasifunction method to all kinds of arithmetic operators such as Laplace operator, Helmholtz operator and biharmonic operator, etc. 第二章对准格林函数方法在拉普拉斯(Laplace)算子、亥姆霍兹(Helmholtz)算子以及双调和算子等算子中的应用进行了综述。
- The second kind of boundary integral equations are uesd on different boundary, and the double-equation boundary element method for biharmonic equation is getted. 对不同边界都采用第二类积分方程,得到了三维重调和方程的双方程方法。
- This paper mainly makes an elemental investigation on the numerical solution of the boundary value problems for the biharmonic equation using wavelet-Galerkin methods. 本文主要对小波分析在双调和方程边值问题的数值解上的应用进行初步研究。
- It is not only introduced the two measures taken to solve the biharmonic equations, but the topical grids of H-type、C-type 、 and O-type are generated with this equation. 文中不仅对数值求解双调和方程的两种不同方法作了介绍,还利用该方程生成了典型的H型、C型、O型网格。
- Then by using the critical point theory, prove the many solutions to a class of nonlinear biharmonic equation with critical potential when the nonlinear term has subcritical growth. 随后,利用临界点理论证明了含临界位势的非线性椭圆型双调和方程多重解的存在性,其中非线性项为次临界增长。
- In this paper we explore multiresolution approximation to the solution of the boundary value problems in intervals and rectangular fields for the biharmonic equation using wavelet-Galerkin methods. 本文主要用小波-伽辽金方法研究了区间以及矩形域上双调和方程边值问题的解的多尺度逼近。
- According to the nature of two-dimensional biharmonic equations,this paper obtains a polynomial solution of the biharmonic equation for stress function by means of the MATHEMATICA software. 根据二维双调和方程的特点并借助于MATHEMATICA软件,得到了应力函数双调和方程的多项式解答。
- Solvability of a class of biharmonic equation 一类双调和方程的可解性
- AN ERROR ESTIMATE OF BEM TO BIHARMONIC EQUATION 求解平面双调和方程边界元法的误差分析
- biharmonic boundary value problem 双调和边值问题
- biharmonic Abel-Poisson operator 双调和Abel-Poisson算子
- The Nontrivial Solutions of a Sort of Critical Biharmonic Problem 一类临界双调和问题的非平凡解
- Eigenvalue Estimates of Biharmonic Operator in Complex Ball 复球上重调和算子的特征值估计
- Eigenvalue inequalities for the biharmonic elliptic equations 双调和椭圆型方程的特征值不等式
- On Bifurcation Problem for a Semilinear Biharmonic Equation 一类半线性双调和方程的分歧问题
- On existence of positive solution for biharmonic equation 一类双调和方程正解的存在性