助手标题  
全文文献 工具书 数字 学术定义 翻译助手 学术趋势 更多
查询帮助
意见反馈
   nontrivial solutions 的翻译结果: 查询用时:0.024秒
图标索引 在分类学科中查询
所有学科
数学
更多类别查询

图标索引 历史查询
 

nontrivial solutions
相关语句
  非平凡解
     With the aids of variational methods and delicate estimates, the existence of nontrivial solutions is obtained for elliptic equations with singular potential-△u-μ u/|x|2=|u|2*(s)-2u/|x|s+ λu,u∈H0 (1,2)(Ω)where Ωis an open bounded domain with smooth boundary,μ,λA are two positive parameters.
     运用精确估计和变分法得到具奇异位势的椭圆方程-△u-μu/|x|2=|u|2*(s)-2u/|x|s+λu,u∈H0(1,2)(Ω)的非平凡解的存在性,其中Ω是有光滑边界的有界开区域,μ,λ是两个正参数.
短句来源
     Some asymptotic behaviours of nontrivial solutions are given for the following Dirichlet problems of semilinear elliptic equation -Δu=u p-σ ,x∈Ω u=0,x∈Ω where ΩR n is the starsharped domain, n≥3,0<σ<4n-2,p=n+2n-2.
     讨论Rn的有界星形区域中半线性椭圆型方程Dirichlet问题-Δu=up-σ,x∈Ω,u=0,x∈Ω,{非平凡解的渐近性态,其中ΩRn,n≥3,0<σ<4n-2,p=n+2n-2.
短句来源
     On the nontrivial solutions and dead core problem for the equation Δu=c︱Du(X)︱~(p-1)
     关于方程Δu=c︱Du︱~(p-1)的非平凡解及死核问题
短句来源
     The existence of nontrivial solutions of the follwing quasilinear elliptic equations is obtained,where N>P>1, P= NP/(N-P).
     给出了R_N中有界域Ω上临界增长拟线性椭圆型方程Dirichlet问题(N>P>1),P~=NP/(N-P)的非平凡解的存在性结果。
短句来源
     Nontrivial Solutions of Superlinear Sturm-Liouville Problems in Banach Spaces
     Banach空间中超线性Sturm-Liouville问题的非平凡解(英文)
短句来源
更多       
  “nontrivial solutions”译为未确定词的双语例句
     EXISTENCE OF NONTRIVIAL SOLUTIONS FOR CRITICAL SEMILINEAR BIHARMONIC EQUATIONS
     EXISTENCE OF NONTRIVIAL SOLUTIONS FOR CRITICAL SEMILINEAR BIHARMONIC EQUATIONS
短句来源
     EXISTENCE OF MULTIPLE NONTRIVIAL SOLUTIONS FOR THE CRITICAL ELLIPTIC EQUATION -△_u=λ_k~u+|u|~(2~*-2_u)+f(x,u)
     具临界指数椭圆方程-Δu=λ_κu+|u|~(2~*-2)u+f(x,u)非平凡多解存在性
短句来源
     If 1 < pq < 1 + 2(1 + γ)/N, all nontrivial solutions blow up at the finite time;
     当pq>1+2(1+γ)/N,且初值充分大时解在有限时刻爆破;
短句来源
     Multiple Nontrivial Solutions for Semilinear Elliptic Equations with Hardy-Sobolev Critical Exponent
     具Hardy-Sobolev临界指数的半线性椭圆方程的多解存在性
短句来源
     Thus, the result is obtained: If λ > λ_0 = 1/4, then the problem (1) has no nontrivial solutions for all p ∈ (2, +∞) (including subcritical, critical, supercritical cases);
     从而得到如下的存在性结论:对任意的p∈(2,+∞)(此时包括次临界、临界和超临界指数的情况),若λ>λ_0=1/4成立,则该问题无解;
短句来源
更多       
  相似匹配句对
     On the Asymptotic Behaviour of Nontrivial Solutions of Subcritical Problems
     次临界问题非平凡解的渐近性态
短句来源
     Nontrivial Solutions of Hammerstein Integral Equations with Applications
     Hammerstein型积分方程非零解的存在性及应用
短句来源
     PC SOLUTIONS
     PC信箱
短句来源
     Function in Solutions
     浅谈函数思想在解题中的应用
短句来源
查询“nontrivial solutions”译词为用户自定义的双语例句

    我想查看译文中含有:的双语例句
例句
为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。
  nontrivial solutions
A special case of this problem, that with homogeneous Neumann condition, is known in the literature as Schiffer's problem, due to the still open conjecture, attributed to him, that the only domains possessing nontrivial solutions aren-balls.
      
In this paper, we establish that the nonlinear equilibrium equation for this model has nontrivial solutions which appear for critical values of the pressure.
      
We prove the existence of nontrivial solutions to the system
      
We consider a general nonlinear elliptic problem of the second order whose associated functional presents two linking structures and we prove the existence of three nontrivial solutions to the problem.
      
The existence of two nontrivial solutions for a class
      
更多          


In this paper, a method based on the triangular unequality is used to explain themaximum power transfer theorem in n-ports network. This method of proof is not only rigid and terse, it can also determine directly the condition of the maximum power transfer and the supremum of the available power drawn by the terminated load. Moreover, with this method, it is not necessary to decide whether the extreme value is of local or global optimum nor is it necessary to determine whether the objective function is convex...

In this paper, a method based on the triangular unequality is used to explain themaximum power transfer theorem in n-ports network. This method of proof is not only rigid and terse, it can also determine directly the condition of the maximum power transfer and the supremum of the available power drawn by the terminated load. Moreover, with this method, it is not necessary to decide whether the extreme value is of local or global optimum nor is it necessary to determine whether the objective function is convex or non-convex prior to finding the extreme value. However, these are unavoidable requirements if the usual varia-tional method is employed.The general formula of the optimum load impedance is derived in a detailed manner when internal impedance of network, Hermite matrix Zs+Zs*, is positive definite. It would appear that there are infinite numbers of the optimal load impedance matrices satisfying the maximum power transfer condition, where all solutions except one are nontrivial. The set composed of all these solutions constitutes a n2-n dimensional linear submanifold in complex space Cn2 . It is to be noted that trivial solution may evade influence of source vectors, and as is well known, this is an important characteristic in its implementation, but it requires to achieve match between corresponding components of the mutual impedance respectively. In contrast, those nontrivial solution may avoid such a difficult task of matching between corresponding components of the mutual impedance, but the influence of source vectors cannot be avoided.This paper applies, some mathematical accomplishments based on intuitive conception of projective geometry and the theory of generalized inverses, which are good at dealing with the problem considered impossible to solve in the sense of a solution of a nonsingular problem, i. e. the so-called "ill-posed" linear problem. Obviously, the optimal current will be solved if internal impedance of network Zs+Zs* is positive semidefinite. Hence, the optimal load impedance matrices may be found provided that results obtained in the positive definite condition are utilized directly. Finally, it also shows by the operation of cardinal numbers that the numbers of optimal load impedances make no difference between the positive definite and positive semidefinite conditions.

本文采用三角不等式求得了有用功率的上确界,推导了正定情况下最优负载阻抗的一般公式,获得了半正定情况下的最优电流,指出其解的个数并不多于正定情况。

This paper treats the vector linear boundary value problem with perturbedboundary L_ε: dy_ε/dx -F(x)y_ε=g(x, e) Ay_ε(0)+By_ε(1+8)=0Where ε>0 is a small parameter, y_ε and g(x, ε) are n-dimensional vector func-tions, F(x) is an n×n matrix function and A, B are n×n constant matrices. Underappropriate assumptions, we obtain a solution both in the case that the unper-turbed homogeneous boundary problem L_0 has the trivial solution only and inthe case that L_0 has nontrivial solutions. For the later, we derive...

This paper treats the vector linear boundary value problem with perturbedboundary L_ε: dy_ε/dx -F(x)y_ε=g(x, e) Ay_ε(0)+By_ε(1+8)=0Where ε>0 is a small parameter, y_ε and g(x, ε) are n-dimensional vector func-tions, F(x) is an n×n matrix function and A, B are n×n constant matrices. Underappropriate assumptions, we obtain a solution both in the case that the unper-turbed homogeneous boundary problem L_0 has the trivial solution only and inthe case that L_0 has nontrivial solutions. For the later, we derive the solvabilitycondition for a nonhomogeneous boundary value problem preliminarily. In the lastsection, we study the scalar linear boundary value problem of higher order withperturbed boundary by transforming it into L.

本文将〔1〕、〔2〕中所得到的结果推广到线性常微分方程组的情况。与〔1〕、〔2〕不同的是,当未摄动齐次边值问题L_0有非平凡解时,作者就最一般的情况,即非平凡解是多重的并且边界条件是一般的情况,进行了研究。为此,附带地预先导出利用广义逆矩阵表示的非齐次边值问题的可解性条件。最后一节将边界摄动时具有一般边界条件的高阶线性常微分方程过值问题转化为线性常微分方程组边值问题进行研究并得到相应的结论。

Let N and P denote respectively the positive integers and the positive reals. In this short paper, we have obtained(1) The nontrivial solutions of xy = yx in N are x = 4, y = 2 and x = 2, y = 4 only.(2) All nontrivial solutions of xy = yx in P can be expressed by x =(3) Formulas giving all solutions of the inequality Xy>yx in P.(4) 1° In case of x>y>l, the only solution of xy - yx=1 in N is = 3, 7 = 2.2° The only solution of xy- (x+l)Z=1 in N is x = 2, y = 2, z=1 3° There are no...

Let N and P denote respectively the positive integers and the positive reals. In this short paper, we have obtained(1) The nontrivial solutions of xy = yx in N are x = 4, y = 2 and x = 2, y = 4 only.(2) All nontrivial solutions of xy = yx in P can be expressed by x =(3) Formulas giving all solutions of the inequality Xy>yx in P.(4) 1° In case of x>y>l, the only solution of xy - yx=1 in N is = 3, 7 = 2.2° The only solution of xy- (x+l)Z=1 in N is x = 2, y = 2, z=1 3° There are no solutions of (x -1)y- (x+1)= 1 in N, etc.

设N与P分别表示正态数集与正实数集.在本文内我们得到(1)x~y=y~x在N内的非平凡解(x≠y)只有x=4,y=2与x=2,y=4.(2)x~y=y~x在P内的一切非平凡解只能是x=t~(t/(t-1)),y=y~(1/(t-1)),t∈p,t≠1.(3)在p内不等式x~y>y~x的一切解的公式.(4)1~(?)若x>y>1,则x~y-y~x=1在N内仅有解x=3,y=2.2~(?)x~y-(x+1)~z=1在N内只有解x=2,y=2,z=1.3~(?)(x-1)~y-(x+1)~z=1在N内没有解等等.

 
<< 更多相关文摘    
图标索引 相关查询

 


 
CNKI小工具
在英文学术搜索中查有关nontrivial solutions的内容
在知识搜索中查有关nontrivial solutions的内容
在数字搜索中查有关nontrivial solutions的内容
在概念知识元中查有关nontrivial solutions的内容
在学术趋势中查有关nontrivial solutions的内容
 
 

CNKI主页设CNKI翻译助手为主页 | 收藏CNKI翻译助手 | 广告服务 | 英文学术搜索
版权图标  2008 CNKI-中国知网
京ICP证040431号 互联网出版许可证 新出网证(京)字008号
北京市公安局海淀分局 备案号:110 1081725
版权图标 2008中国知网(cnki) 中国学术期刊(光盘版)电子杂志社