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- When f(x,u)=u+p,p=2NN-4, the above problem becomes a critical biharmonic problem. 當 f( x;u) =up;p=2 NN - 4時(shí) ;上述問(wèn)題就是一個(gè)臨界雙重調和問(wèn)題 .
- Damage of optical materials induced by SBS process under biharmonic laser irradiation[J]. 引用該論文 郭少鋒;陸啟生;程湘愛(ài);江厚滿(mǎn);銀燕.
- Key words Biharmonic equation positive entire solution close convex subset continuous mapping relative compactness equicontinuity. 本刊中 包含“雙調和方程;正整解;閉凸子集;連續映照;相對緊;等度連續.
- In chapter three, we study the wavelet numerical solution of simply-supported boundary value problem of biharmonic equation. 第三章，我們考察了雙調和方程簡(jiǎn)支邊值問(wèn)題的非平穩小波數值解。
- 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. 第二章對準格林函數方法在拉普拉斯(Laplace)算子、亥姆霍茲(Helmholtz)算子以及雙調和算子等算子中的應用進(jìn)行了綜述。
- The second kind of boundary integral equations are uesd on different boundary, and the double-equation boundary element method for biharmonic equation is getted. 對不同邊界都采用第二類(lèi)積分方程，得到了三維重調和方程的雙方程方法。
- This paper mainly makes an elemental investigation on the numerical solution of the boundary value problems for the biharmonic equation using wavelet-Galerkin methods. 本文主要對小波分析在雙調和方程邊值問(wèn)題的數值解上的應用進(jìn)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. 文中不僅對數值求解雙調和方程的兩種不同方法作了介紹，還利用該方程生成了典型的H型、C型、O型網(wǎng)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. 隨后，利用臨界點(diǎn)理論證明了含臨界位勢的非線(xiàn)性橢圓型雙調和方程多重解的存在性，其中非線(xiàn)性項為次臨界增長(cháng)。
- 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-伽遼金方法研究了區間以及矩形域上雙調和方程邊值問(wèn)題的解的多尺度逼近。
- 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. 根據二維雙調和方程的特點(diǎn)并借助于MATHEMATICA軟件,得到了應力函數雙調和方程的多項式解答。
- Solvability of a class of biharmonic equation 一類(lèi)雙調和方程的可解性
- AN ERROR ESTIMATE OF BEM TO BIHARMONIC EQUATION 求解平面雙調和方程邊界元法的誤差分析
- biharmonic boundary value problem 雙調和邊值問(wèn)題
- biharmonic Abel-Poisson operator 雙調和Abel-Poisson算子
- The Nontrivial Solutions of a Sort of Critical Biharmonic Problem 一類(lèi)臨界雙調和問(wèn)題的非平凡解
- Eigenvalue Estimates of Biharmonic Operator in Complex Ball 復球上重調和算子的特征值估計
- Eigenvalue inequalities for the biharmonic elliptic equations 雙調和橢圓型方程的特征值不等式
- On Bifurcation Problem for a Semilinear Biharmonic Equation 一類(lèi)半線(xiàn)性雙調和方程的分歧問(wèn)題
- On existence of positive solution for biharmonic equation 一類(lèi)雙調和方程正解的存在性
