Results 1 to 10 of about 204 (48)
Demonstratio Mathematica, 2023 The goal of this study is to analyse the eigenvalues and weak eigenfunctions of a new type of multi-interval Sturm-Liouville problem (MISLP) which differs from the standard Sturm-Liouville problems (SLPs) in that the Strum-Liouville equation is defined ...
Olgar Hayati
doaj +1 more source
Open Mathematics, 2021 For any positive integer n and a set of positive integers mi{m}_{i}, i=1,2,…,n+1i=1,2,\ldots ,n+1, we construct a class of quadratic eigenparameter-dependent boundary Sturm-Liouville problems with n transmission conditions, which have at most ∑i=1n+1mi+n+
Li Jia, Hao Xiaoling, Li Kun, Yao Siqin
doaj +1 more source
Open Mathematics, 2022 In this article, an effective finite element method based on dimension reduction scheme is proposed for a fourth-order Steklov eigenvalue problem in a circular domain.
Zhang Hui, Liu Zixin, Zhang Jun
doaj +1 more source
Inverse Problem for Fractional Diffusion Equation [PDF]
, 2011 MSC 2010: 26A33, 33E12, 34K29, 34L15, 35K57, 35R30We prove that by taking suitable initial distributions only finitely many measurements on the boundary are required to recover uniquely the diffusion coefficient of a one dimensional fractional diffusion ...
Tuan, Vu Kim
core +1 more source
Synchronization of a double pendulum with moving pivots: a study of the spectrum [PDF]
, 2018 The model we consider consists in a double pendulum set, where the pivot points are free to shift along a horizontal line. Moreover, the two pendula are coupled by means of a spring whose extremities connect two points of each pendulum, at a fixed ...
Talamucci, Federico
core +2 more sources
Eigenvalue Bounds for Perturbations of Schrodinger Operators and Jacobi Matrices With Regular Ground States [PDF]
, 2007 We prove general comparison theorems for eigenvalues of perturbed Schrodinger operators that allow proof of Lieb--Thirring bounds for suitable non-free Schrodinger operators and Jacobi matrices.Comment: 11 ...
B. Simon +16 more
core +3 more sources
On the Removal of Finite Discrete Spectrum by Coefficient Stripping [PDF]
, 2011 We prove for a large class of operators, J, including block Jacobi matrices, if σ(J)\[α,β] is a finite set, each point of which is an eigenvalue of finite multiplicity, then a finite coefficient stripped, J_N , has σ(J_N)⊂[α,β].
Simon, Barry
core +1 more source
Complex potentials: bound states, quantum dynamics and wave operators
, 2014 Schr\"odinger operator on half-line with complex potential and the corresponding evolution are studied within perturbation theoretic approach. The total number of eigenvalues and spectral singularities is effectively evaluated.
Stepin, S. A.
core +1 more source
Progress on Hardy-type Inequalities
, 2014 This paper surveys some of our recent progress on Hardy-type inequa\-lities which consist of a well-known topic in Harmonic Analysis. In the first section, we recall the original probabilistic motivation dealing with the stability speed in terms of the ...
Chen, Mu-Fa
core +1 more source
Bounds on the negative eigenvalues of Laplacians on finite metric graphs [PDF]
, 2013 For a self--adjoint Laplace operator on a finite, not necessarily compact, metric graph lower and upper bounds on each of the negative eigenvalues are derived.
Hussein, Amru
core +1 more source