Results 81 to 90 of about 147,544 (216)
Subcritical perturbations of resonant linear problems with sign-changing potential
Electronic Journal of Differential Equations, 2005 We establish existence and multiplicity theorems for a Dirichlet boundary-value problem at resonance. This problem is a nonlinear subcritical perturbation of a linear eigenvalue problem studied by Cuesta, and includes a sign-changing potential. We obtain
Teodora-Liliana Dinu
doaj
Ain Shams Engineering Journal, 2016 This paper deals with the modelling and small signal stability analysis for the two areas interconnected power system using a load frequency controller. The eigenvalues and the participation factor analysis are used to examine the small signal stability ...
Ravi Shankar +2 more
doaj +1 more source
Eigenvalues in Spectral Gaps of a Perturbed Periodic Manifold [PDF]
arXiv, 2002 We consider a non-compact Riemannian periodic manifold such that the corresponding Laplacian has a spectral gap. By continuously perturbing the periodic metric locally we can prove the existence of eigenvalues in a gap. A lower bound on the number of eigenvalue branches crossing a fixed level is established in terms of a discrete eigenvalue problem ...
arxiv
Civil and Environmental Engineering, 2014 The paper presents the perturbation method which was used for computation of eigenvalues and eigenvectors for the assumed homogeneous state of strain in the hyperelastic Murnaghan material.
Major Izabela, Major Maciej
doaj +1 more source
Convergence of Dirichlet Eigenvalues for Elliptic Systems on Perturbed Domains [PDF]
arXiv, 2010 We consider the eigenvalues of an elliptic operator for systems with bounded, measurable, and symmetric coefficients. We assume we have two non-empty, open, disjoint, and bounded sets and add a set of small measure to form the perturbed domain. Then we show that the Dirichlet eigenvalues corresponding to the family of perturbed domains converge to the ...
arxiv
Another instructive example in eigenvalue perturbation theory [PDF]
, 1979 M. P. Fry
openalex +1 more source
Nongeneric eigenvalue perturbations of Jordan blocks
Linear Algebra and its Applications, 1998 AbstractWe show that if an n × n Jordan block is perturbed by an O(ε) upper k-Hessenberg matrix (k subdiagonals including the main diagonal), then generically the eigenvalues split into p rings of size k and one of size r (if r ≠ 0), where n = pk + r. This generalizes the familiar result (k = n, p = 1, r = 0) that generically the eigenvalues split into
Yanyuan Ma, Alan Edelman
openaire +2 more sources
A new class of eigenvalue problems for perturbed p-Laplacians [PDF]
arXiv, 2010 This paper is devoted to a dispersion analysis of a class of perturbed p-Laplacians. Besides the p-Laplacian-like eigenvalue problems we also deal with new and non-standard eigenvalue problems, which can not be solved by the methods used in nonlinear eigenvalue problems for p-Laplacians and similar operators.
arxiv
Asymptotic expansions of the largest eigenvalues [PDF]
arXiv, 2016 In this paper, we provide a rigorous derivation of asymptotic formula for the largest eigenvalues using the convergence estimation of the eigenvalues of a sequence of self-adjoint compact operators of perturbations resulting from the presence of small inhomogeneities.
arxiv
Perturbation nonlinearly dependent on the eigenvalue and a condensation of perturbation theory
Journal of Mathematical Analysis and Applications, 1969 where H,, is a self-adjoint operator with known spectral measure E. for the complex Hilbert space X and G, is given as a symmetric operator in X depending on h, and where by a solution pair u, h to (1.1) we mean that X is to be a real scalar and u is to be a nonnull X vector belonging to both the domain of H,, and of G, and (1.1) is to be satisfied by ...
openaire +2 more sources