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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...
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...
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...
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...
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...
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...
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 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.
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...
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...
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].

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