Results 51 to 60 of about 276,787 (219)

Theory of discrete fractional Sturm–Liouville equations and visual results

AIMS Mathematics, 2019
In this article, we study discrete fractional Sturm-Liouville (DFSL) operators within Riemann-Liouville and Grünwald-Letnikov fractional operators with both delta and nabla operators.
Erdal Bas, Ramazan Ozarslan
doaj   +1 more source

Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem [PDF]

SIAM Journal on Numerical Analysis, 2019
To provide mathematically rigorous eigenvalue bounds for the Steklov eigenvalue problem, an enhanced version of the eigenvalue estimation algorithm developed by the third author is proposed, which removes the requirements of the positive definiteness of bilinear forms in the formulation of eigenvalue problems.
Chun'guang You, Hehu Xie, Xuefeng Liu
openaire   +2 more sources

Optimal Shrinkage of Eigenvalues in the Spiked Covariance Model. [PDF]

Annals of Statistics, 2013
We show that in a common high-dimensional covariance model, the choice of loss function has a profound effect on optimal estimation. In an asymptotic framework based on the Spiked Covariance model and use of orthogonally invariant estimators, we show ...
D. Donoho, M. Gavish, I. Johnstone
semanticscholar   +1 more source

On the Detection of Fracture within Vibrating Beams Traversed by a Moving Force

Infrastructures, 2022
In this work, we examine the influence of a crack in the span of a beam as it is being traversed by a point force with constant velocity. This problem presents two types of discontinuities: one spatial, where the crack is modelled as a discontinuity in ...
Georgios I. Dadoulis, George D. Manolis
doaj   +1 more source

On a Class of Positive Definite Operators and Their Application in Fractional Calculus

Axioms, 2022
This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary value problems for differential equations of fractional order. Approximation matrices are also investigated.
Temirkhan Aleroev
doaj   +1 more source

Fractional Sturm–Liouville Eigenvalue Problems, II

Fractal and Fractional, 2022
We continue the study of a non-self-adjoint fractional three-term Sturm–Liouville boundary value problem (with a potential term) formed by the composition of a left Caputo and left Riemann–Liouville fractional integral under Dirichlet type boundary ...
Mohammad Dehghan, Angelo B. Mingarelli
doaj   +1 more source

Construction of Eigenfunctions to One Nonlocal Second-Order Differential Operator with Double Involution

Axioms, 2022
In this paper, we study the eigenfunctions to one nonlocal second-order differential operator with double involution. We give an explicit form of the eigenfunctions to the boundary value problem in the unit ball with Dirichlet conditions on the boundary.
Batirkhan Turmetov, Valery Karachik
doaj   +1 more source

Exactly solvable nonlinear eigenvalue problems [PDF]

arXiv, 2020
The nonlinear eigenvalue problem of a class of second order semi-transcendental differential equations is studied. A nonlinear eigenvalue is defined as the initial condition which gives rise a separatrix solution. A semi-transcendental equation can be integrated once to a first order nonlinear equation, e.g., the Ricatti equation.
arxiv  

On the eigenvalues and Seidel eigenvalues of chain graphs

Discrete Applied Mathematics
In this paper we consider the eigenvalues and the Seidel eigenvalues of a chain graph. An$\dbar$elić, da Fonseca, Simić, and Du \cite{andelic2020tridiagonal} conjectured that there do not exist non-isomorphic cospectral chain graphs with respect to the adjacency spectrum. Here we disprove this conjecture.
Zhuang Xiong, Yaoping Hou
openaire   +2 more sources

On Selberg's small eigenvalue conjecture and residual eigenvalues [PDF]

Journal für die reine und angewandte Mathematik (Crelles Journal), 2011
33pages, Various expository ...
openaire   +3 more sources