Results 31 to 40 of about 7,909 (213)

On the Eigenvalues of the Fermionic Angular Eigenfunctions in the Kerr Metric

open access: yesEntropy, 2022
In view of a result recently published in the context of the deformation theory of linear Hamiltonian systems, we reconsider the eigenvalue problem associated with the angular equation arising after the separation of the Dirac equation in the Kerr metric, and we show how a quasilinear first order PDE for the angular eigenvalues can be derived ...
Davide Batic   +2 more
openaire   +4 more sources

The Properties of Eigenvalues and Eigenfunctions for Nonlocal Sturm–Liouville Problems

open access: yes, 2021
The present paper is concerned with the spectral theory of nonlocal Sturm–Liouville eigenvalue problems on a finite interval. The continuity, differentiability and comparison results of eigenvalues with respect to the nonlocal potentials are studied, and
Jiangang Qi, Zhiwen Liu
core   +1 more source

Influence of the Pauli principle on two-cluster potential energy

open access: yesSciPost Physics Proceedings, 2020
We study effects of the Pauli principle on the potential energy of two-cluster systems. The object of the investigation is the lightest nuclei of p-shell with a dominant $\alpha$-cluster channel.
Yuliya A. Lashko, Victor S. Vasilevsky, Gennady F. Filippov
doaj   +1 more source

On completeness of weak eigenfunctions for multi-interval Sturm-Liouville equations with boundary-interface conditions

open access: yesDemonstratio 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

On multiplicity of eigenvalues and symmetry of eigenfunctions of the $p$-Laplacian [PDF]

open access: yesTopological Methods in Nonlinear Analysis, 2018
We investigate multiplicity and symmetry properties of higher eigenvalues and eigenfunctions of the $p$-Laplacian under homogeneous Dirichlet boundary conditions on certain symmetric domains $Ω\subset \mathbb{R}^N$. By means of topological arguments, we show how symmetries of $Ω$ help to construct subsets of $W_0^{1,p}(Ω)$ with suitably high Krasnosel ...
Audoux, Benjamin   +2 more
openaire   +7 more sources

Eigenvalues and eigenfunctions of double layer potentials

open access: yesTransactions of the American Mathematical Society, 2017
Eigenvalues and eigenfunctions of two- and three-dimensional double layer potentials are considered. Let Ω \Omega
Miyanishi, Yoshihisa, Suzuki, Takashi
openaire   +2 more sources

On the fundamental solutions of a discontinuous fractional boundary value problem

open access: yesAdvances in Difference Equations, 2017
The main purpose of this study is to investigate a fractional discontinuous Sturm-Liouville problem with transmission conditions. We shall consider a fractional boundary value problem involving an operator with two parts. It is shown that the eigenvalues
Ali Yakar, Zulfigar Akdogan
doaj   +1 more source

On eigenfunctions corresponding to a small resurgent eigenvalue [PDF]

open access: yesAsymptotic Analysis, 2012
The paper is devoted to some foundational questions in resurgent analysis. As a main technical result, it is shown that under appropriate conditions the infinite sum of endlessly continuable majors commutes with the Laplace transform. A similar statement is proven for compatibility of a convolution and of an infinite sum of majors.
openaire   +3 more sources

An estimation of the eigenfunctions of periodic Sturm-Liouville problems

open access: yesArab Journal of Basic and Applied Sciences, 2021
In this paper, the numerical estimations for the eigenfunctions corresponding to the eigenvalues of Sturm-Liouville problem with periodic and semi-periodic boundary conditions are considered.
Seza Dinibutun
doaj   +1 more source

Computation of eigenvalues and eigenfunctions of a non-local boundary value problem with retarded argument

open access: yes, 2021
In this study, we proved the simplicity of eigenvalues and obtained asymptotic formulas for eigenvalues and eigenfunctions of second order non-local boundary-value problems with retarded argument.
Şen, Erdoğan, Stikonas, Arturas
core   +1 more source

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