查询词典 eigenvalue

This paper considers the estimate of the upper bound of second eigenvalue for the differential operator with any order.

考虑了任意阶微分算子第二特征值的上界估计，获得了用第一特征值来估计第二特征值的上界的不等式，其估计系数与区间的度量无关。

At the research course with eigenvalues of digraphs,all need to hold digraph melt into form of matrix,research eigenvalue of matrix again.

在研究有向图的特征值的过程中，都要把有向图化为矩阵的形式，再研究矩阵的特征值。

We prove the solvability of the first eigenvalue problem for a class of quasilinear elliptic equations including distance potential with homogeneous Dirichlet boundary condition.

变分原理证明了一类含距离位势的拟线性椭圆方程齐次Dirichlet边界条件下第一特征值问题的可解性。

In this thesis, we consider positive solutions of a degenerate parabolic system with homogeneous Dirichlet boundary condition. It is proved that all positive solutions exist globally iff 12≥abλ, whereλ1 is the first eigenvalue of ??

该论文研究一类具有齐次Dirichlet边界条件的退化抛物方程组正解的性质，证明了所有正解整体存在的充要条件是12≥abλ，其中λ1是具有齐次Dirichlet边界条件的？？

In this paper we study the existence and multiplicity of solutions for the semilinear elliptic Dirichlet problem at the first eigenvalue.

本篇文章主要研究了在一阶共振的半线性椭圆Dirichlet问题解的存在性和多解性，得到了几个解的存在性定理和一个多解性定理。

For the infective subsystem, we obtain the existent condition of the subsystem equilibrium point and the uniqueness of the positive equilibrium point by the no infectious subsystem's conclusion and the image analysis. The partial stability of the subsystem equilibrium points is discussed by analyzing eigenvalue. The condition that the system has no limit cycle is obtained by the Dulac function.

对染病子系统，利用无病子系统所得结论及图像分析法，得到了系统平衡点的存在条件，正平衡点的存在唯一性；利用特征根方法判断了系统平衡点的局部稳定性；利用Dulac函数得到了系统不存在极限环的条件；利用极限方程理论得到了系统疾病消除平衡点和地方病平衡点的全局稳定性。

Moreover $\lambda_1$ is isolated, and is the unique positive eigenvalue associated to a non-negative eigenfunction.

另外第一特征值也是孤立的，是唯一具有正特征函数的特征值。

Finally we obtain a formula which can be used to calculate the numbers of oscillation points in 0,l} of the eigenfunction corresponding to the nth eigenvalue.

Binding研究的具有一种特殊分离型边条件的左定Sturm-Liouville算子得到的结果要复杂，P.Binding得到的结果是本文的一种特例。

Based on an interpolation postprocessing, superconvergence estimates of both eigenfunction and eigenvalue are obtained.

应用稀有限元方法讨论特征值问题的求解，通过插值后处理，得到了特征值和特征函数的超收敛结果。

In this paper we use the method of supersymmetry to discuss the invariant,obtain an eigenfunction corresponding to eigenvalue of the invariant for a harmonic oscillator with time-dependent frequency.

在采用超对称性的方法讨论了不变量，得到了变频率谐振子不变量的本征值和本征函

Methods Clinical data of 3 cases of bile duct injury during laparoscopic cholecystectomy were analyzed retrospectively.

回顾总结3例LC术中胆管损伤的临床资料，分析3例胆管损伤的原因及对策。

These techniques are applied to the gobang.

本文将这些技术用于五子棋中。