Results 91 to 100 of about 276,787 (219)
Riesz bases generated by the spectra of Sturm-Liouville problems
Electronic Journal of Differential Equations, 2013 Let ${lambda _n^2} _{n = 0}^infty$ be the spectra of a Sturm-Liouville problem on $[0,pi ]$. We investigate the question: Do the systems ${ cos(lambda_nx)} _{n = 0}^infty$ or ${ sin(lambda_n x)} _{n = 0}^infty$ form Riesz bases in ${L^2}[0,pi ]$? The
Tigran Harutyunyan +2 more
doaj
Explicit eigenvalue bounds of differential operators defined by symmetric positive semi-definite bilinear forms [PDF]
arXiv, 2019 Recently, the eigenvalue problems formulated with symmetric positive definite bilinear forms have been well investigated with the aim of explicit bounds for the eigenvalues. In this paper, the existing theorems for bounding eigenvalues are further extended to deal with the case of eigenvalue problems defined by positive semi-definite bilinear forms. As
arxiv
Interlacing eigenvalues and graphs [PDF]
Linear Algebra and its Applications, 1995 AbstractWe give several old and some new applications of eigenvalue interlacing to matrices associated to graphs. Bounds are obtained for characteristic numbers of graphs, such as the size of a maximal (co)clique, the chromatic number, the diameter, and the bandwidth, in terms of the eigenvalues of the standard adjacency matrix or the Laplacian matrix.
openaire +5 more sources
Factor Productivity in the Argentinean Agriculture
Revista de Economía y Estadística, 2007 This paper is aimed at investigating the endogeneity of the total factor productivity in the Argentinean agriculture. In a simple model ofendogenous technological change, the implementation of new techniques of production would depend upon sectoral ...
Alberto Herrou Aragón
doaj
The zeros of az2J″ν(z)+bzJ′ν(z)+cJν(z) as functions of order
International Journal of Mathematics and Mathematical Sciences, 1992 If j″νk denotes the kth positive zero of the Bessel function J″ν(x), it has been shown recently by Lorch and Szego [2] that j″ν1 increases with ν in ν>0 and that (with k fixed in 2,3,…) j″νk increases in 00.
A. McD. Mercer
doaj +1 more source
Eigenvalue comparisons in Steklov eigenvalue problem and some other eigenvalue estimates [PDF]
arXiv, 2018 In this paper, two interesting eigenvalue comparison theorems for the first non-zero Steklov eigenvalue of the Laplacian have been established for manifolds with radial sectional curvature bounded from above. Besides, sharper bounds for the first non-zero eigenvalue of the Wentzell eigenvalue problem of the weighted Laplacian, which can be seen as a ...
arxiv
Random matrices, Frobenius eigenvalues, and monodromy
, 1998 Statements of the main results Reformulation of the main results Reduction steps in proving the main theorems Test functions Haar measure Tail estimates Large $N$ limits and Fredholm determinants Several variables Equidistribution Monodromy of families ...
N. M. Katz, P. Sarnak
semanticscholar +1 more source
A new spectral theory for nonlinear operators and its applications
Abstract and Applied Analysis, 1997 In this paper, by applying (p,k)-epi mapping theory, we introduce a new definition of spectrum for nonlinear operators which contains all eigenvalues, as in the linear case.
W. Feng
doaj +1 more source
Tricyclic graphs with exactly two main eigenvalues [PDF]
arXiv, 2010 An eigenvalue of a graph $G$ is called a main eigenvalue if it has an eigenvector the sum of whose entries is not equal to zero. In this paper, all connected tricyclic graphs with exactly two main eigenvalues are determined.
arxiv
An upper bound for higher order eigenvalues of symmetric graphs [PDF]
arXiv, 2020 In this paper, we derive an upper bound for higher order eigenvalues of the normalized Laplace operator associated with a symmetric finite graph in terms of lower order eigenvalues.
arxiv