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Semi-linear equations and principal eigenvalues in unbounded domains
Semi-linear equations principal eigenvalues unbounded domains
2015/4/3
Semi-linear equations and principal eigenvalues in unbounded domains.
A lower bound for eigenvalues of the poly-Laplacian with arbitrary order
the eigenvalue problem a lower bound for eigenvalues
2011/1/21
In this paper, we study eigenvalues of the poly-Laplacian with arbitrary order on a bounded domain in an n-dimensional Euclidean space and obtain a lower bound for eigenvalues, which gives an importan...
Asymptotic ergodicity of the eigenvalues of random operators in the localized phase
Asymptotic ergodicity eigenvalues of random operators localized phase
2011/1/18
We prove that, for a general class of random operators, the family of the unfolded eigenvalues in the localization region is asymptotically ergodic in the sense of N. Minami (see [24]). N. Minami conj...
On eigenvalues of differential equations with singularities, discontinuity conditions and turning points
eigenvalues of differential equations singularities turning points
2010/9/20
We consider the Sturm-Liouville equation on the bounded interval with two singularities in end points. This equation contains one turning point together with discontinuity conditions, moreover the tur...
A new method to find the eigenvalues of convex matrices with application in web page rating
Eigenvalue Google matrix convex matrices PageRank
2010/9/21
Although many factors determine Google's overall ranking of search engine results, Google maintains that the heart of its search engine software is PageRank, the eigenvector corresponds to the maximal...
Asymptotic solutions and eigenvalues of second-order differential equations with poles and turning points
Eigenvalues singularity turning point
2010/9/13
Using of the asymptotic estimates provided in [2] for a special fundamental system of solutions of Sturm-Liouville equation, we study the asymptotic estimates for a special fundamental system of solut...
Coarse non-amenability and covers with small eigenvalues
Amenability coarse embeddings expander graphs graph coverings
2010/12/3
Given a closed Riemannian manifold M and a (virtual) epimorphism π1(M) ։ F2 of the fundamental group onto a free group of rank 2, we construct a tower of finite sheeted regular
covers {Mn}1 n=0...
The negative Neumann eigenvalues of second order differential equation with two turning points
Turning point Sturm-Liouville problem
2010/9/10
In this work, we have studied the solution of the second order differential equation with two turning points case. It is well known that the solutions of the equation are obtained by the asymptotic so...
The negative Neumann eigenvalues of second order differential equation with two turning points
Turning point Sturm-Liouville problem
2010/9/10
In this work, we have studied the solution of the second order differential equation with two turning points case. It is well known that the solutions of the equation are obtained by the asymptotic so...
In this paper, we find the numbers of positive and negative eigenvalues of integral operators with certain rational kernels.
Computing of signs of eigenvalues for diagonally dominant matrix for inertia problem
Eigenvalue Inertia Diagonally Dominant Matrix
2010/9/13
In this paper we present two theorems for computing of inertia of Diagonally Dominant Matrix and show a good relation between the inertia theorem and the signs of diagonal entries of the diagonally do...
Lower Bounds for Eigenvalues of Schatten-Von Neumann Operators
Schatten-von Neumann ideals Inequalities for eigenvalues
2008/7/1
Lower Bounds for Eigenvalues of Schatten-Von Neumann Operators.
Approximate eigenvalues of periodic Sturm-Liouville problems using differential quadrature method
Eigenvalues Differential quadrature method Periodic boundary conditions
2010/9/15
Computation of eigenvalues of regular Sturm-Liouville problems with periodic boundary conditions is considered. It is shown through numerical illustrations that both polynomial-based differential quad...
On the Upper Bound of Second Eigenvalues for Uniformly Elliptic Operators of any Orders
uniformly elliptic operators of any orders
2007/12/10
r + 1. We consider the eigenvalue problems (1.1) and (1.2), and obtain Theorem 1 and Theorem 2, which generalize the results in [1,2,5].