Results 101 to 110 of about 276,787 (219)

An eigenvalue problem possessing a continuous family of eigenvalues plus an isolated eigenvalue

Communications on Pure and Applied Analysis, 2010
In this paper we analyze an eigenvalue problem, involving a homogeneous Neumann boundary condition, in a smooth bounded domain. We show that the problem possesses, on the one hand, a continuous family of eigenvalues and, on the other hand, exactly one more eigenvalue which is isolated in the set of eigenvalues of the problem.
openaire   +2 more sources

Inverse Sturm-Liouville problems with fixed boundary conditions

Electronic Journal of Differential Equations, 2015
Necessary and sufficient conditions for two sequences $\{\mu_n\}_{n=0}^\infty$ and $\{ a_n\}_{n=0}^\infty$ to be the spectral data for a certain Sturm-Liouville problem are well known.
Yuri A. Ashrafyan, Tigran N. Harutyunyan
doaj  

A fully parallel method for tridiagonal eigenvalue problem

International Journal of Mathematics and Mathematical Sciences, 1994
In this paper, a fully parallel method for finding all eigenvalues of a real matrix pencil (A,B) is given, where A and B are real symmetric tridiagonal and B is positive definite. The method is based on the homotopy continuation coupled with the strategy
Kuiyuan Li
doaj   +1 more source

Upper and lower bounds for eigenvalues of the clamped plate problem [PDF]

arXiv, 2012
In this paper, we study estimates for eigenvalues of the clamped plate problem. A sharp upper bound for eigenvalues is given and the lower bound for eigenvalues in [10] is improved.
arxiv  

Eigenvalues of the derangement graph

Journal of Combinatorial Theory, Series A, 2010
26 ...
Ku, Cheng Yeaw, Wales, David B.
openaire   +5 more sources

Eigenvalues of the negative Laplacian for arbitrary multiply connected domains

International Journal of Mathematics and Mathematical Sciences, 1996
The purpose of this paper is to derive some interesting asymptotic formulae for spectra of arbitrary multiply connected bounded domains in two or three dimensions, linked with variation of positive distinct functions entering the boundary conditions ...
E. M. E. Zayed
doaj   +1 more source

A Small Note About Lower Bound of Eigenvalues [PDF]

arXiv, 2016
This paper gives a framework to produce the lower bound of eigenvalues defined in a Hilbert space by the eigenvalues defined in another Hilbert space. The method is based on using the max-min principle for the eigenvalue problems.
arxiv  

A smoothing spline algorithm to interpolate and predict the eigenvalues of matrices extracted from the sequence of preconditioned banded symmetric Toeplitz matrices

AIMS Mathematics
Understanding the eigenvalue distribution of sequence Toeplitz matrices has advanced significantly in recent years. Notable contributors include Bogoya, Grudsky, Böttcher, and Maximenko, who have derived precise asymptotic expansions for these ...
Salima Kouser, Shafiq Ur Rehman , Mabkhoot Alsaiari, Fayyaz Ahmad, Mohammed Jalalah, Farid A. Harraz , Muhammad Akram   +6 more
doaj   +1 more source

On the Extended Adjacency Eigenvalues of a Graph

Information
Let H be a graph of order n with m edges. Let di=d(vi) be the degree of the vertex vi. The extended adjacency matrix Aex(H) of H is an n×n matrix defined as Aex(H)=(bij), where bij=12didj+djdi, whenever vi and vj are adjacent and equal to zero otherwise.
Alaa Altassan, Hilal A. Ganie, Yilun Shang   +2 more
doaj   +1 more source

Count of eigenvalues in the generalized eigenvalue problem [PDF]

arXiv, 2006
We address the count of isolated and embedded eigenvalues in a generalized eigenvalue problem defined by two self-adjoint operators with a positive essential spectrum and a finite number of isolated eigenvalues. The generalized eigenvalue problem determines spectral stability of nonlinear waves in a Hamiltonian dynamical system.
arxiv