Sentence examples for behavior of eigenvalues of from inspiring English sources

In this article, for the white noise case, we study the behavior of eigenvalues of the SCM.

A closer examination of the proofs in [2] reveals that when investigating the behavior of eigenvalues of the monodromy matrix U N in dependence on the parameter λ, one can forget about the original system from which this monodromy matrix originates (differential system (3) or difference system (2)).

By means of the two-scale convergence method, we investigate the asymptotic behavior of eigenvalues and eigenfunctions of Stekloff eigenvalue problems in perforated domains.

(I) The "semiclassical trace formula", on the asymptotic behavior of eigenvalues and eigenfunctions of Sh in terms of periodic trajectors of H. (II) Associated to certain isotropic submanifolds Λ ⊂ T*M we define families of functions {ψh} and prove that ∀t {exp(− ithSħ)} is a family of the same kind associated to φt.

In the theory of ordinary differential equations, spectral methods on a suitable Hilbert space are used to study the behavior of eigenvalues and eigenfunctions of differential equations.

The aim of the present paper is to study the asymptotic behavior of the eigenvalues of the operator L. The existing methods still are not capable to evaluate the number of eigenvalues of the operator L directly.

This eigenvalue represented a minimum of 99% of the sum of eigenvalues of the covariance matrix (V).

In particular, we give the asymptotic behavior of the eigenvalues of the hydrogen atom equation.

We also analyze the behavior of the eigenvalues of (mathcal{K}_{l, alpha, k}) with respect to the intrinsic length L of the beam.

Several articles have investigated the behavior of the eigenvalues of R N when M, N → ∞ assuming M N → c > 0 [15, 15].

We study the asymptotic behavior of the eigenvalues of the Schrödinger operator with a vector potential on a compact manifold, as Planck's constant tends to zero.