Results 31 to 40 of about 7,909 (213)
On the Eigenvalues of the Fermionic Angular Eigenfunctions in the Kerr Metric
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
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The Properties of Eigenvalues and Eigenfunctions for Nonlocal Sturm–Liouville Problems
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
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Influence of the Pauli principle on two-cluster potential energy
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
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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
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On multiplicity of eigenvalues and symmetry of eigenfunctions of the $p$-Laplacian [PDF]
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
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Eigenvalues and eigenfunctions of double layer potentials
Eigenvalues and eigenfunctions of two- and three-dimensional double layer potentials are considered. Let Ω \Omega
Miyanishi, Yoshihisa, Suzuki, Takashi
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On the fundamental solutions of a discontinuous fractional boundary value problem
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
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On eigenfunctions corresponding to a small resurgent eigenvalue [PDF]
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.
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An estimation of the eigenfunctions of periodic Sturm-Liouville problems
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
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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
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