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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 ;上述問題就是一個臨界雙重調和問題 .
- 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;江厚滿;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支邊值問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)運算元、亥姆霍茲(Helmholtz)運算元以及雙調和運算元等運算元中的應用進行了綜述。
- The second kind of boundary integral equations are uesd on different boundary, and the double-equation boundary element method for biharmonic equation is getted. 對不同邊界都採用第二類積分方程,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題的數值解上的應用進行初步研究。
- 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. 隨後,利用臨界點理論證明了含臨界位勢的非線性橢圓型雙調和方程多重解的存在性,其中非線性項為次臨界增長。
- 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並藉助於MATHEMATICA軟體,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 雙調和邊值問題
- biharmonic Abel-Poisson operator 雙調和Abel-Poisson運算元
- The Nontrivial Solutions of a Sort of Critical Biharmonic Problem 一類臨界雙調和問題的非平凡解
- Eigenvalue Estimates of Biharmonic Operator in Complex Ball 復球上重調和運算元的特徵值估計
- Eigenvalue inequalities for the biharmonic elliptic equations 雙調和橢圓型方程的特徵值不等式
- On Bifurcation Problem for a Semilinear Biharmonic Equation 一類半線性雙調和方程的分歧問題
- On existence of positive solution for biharmonic equation 一類雙調和方程正解的存在性