Results 11 to 20 of about 430 (144)

Asymptotics of eigenvalues and eigenfunctions of energy-dependent Sturm-Liouville equations [PDF]

open access: yesМатематичні Студії, 2013
We study asymptotics of eigenvalues, eigenfunctions and normingconstants of singular energy-dependent Sturm--Liouville equationswith complex-valued potentials.
N. I. Pronska
doaj   +2 more sources

Approximation of eigenvalues of some unbounded self-adjoint discrete Jacobi matrices by eigenvalues of finite submatrices [PDF]

open access: yesOpuscula Mathematica, 2007
We investigate the problem of approximation of eigenvalues of some self-adjoint operator in the Hilbert space \(l^2(\mathbb{N})\) by eigenvalues of suitably chosen principal finite submatrices of an infinite Jacobi matrix that defines the operator ...
Maria Malejki
doaj   +2 more sources

Asymptotics of Eigenvalues and Eigenfunctions Of A Discontinuous Boundary Value Problem With a Spectral Parameter In The Transmission Condition [PDF]

open access: yes, 2023
We determine asymptotics of eigenvalues and eigenfunctions of a discontinuous boundary value problem with a spectral parameter in the transmission ...
Jafarova, Lala N.   +1 more
core   +3 more sources

Exponential localization of Steklov eigenfunctions on warped product manifolds: the flea on the elephant phenomenon

open access: yes, 2021
International audienceThis paper is devoted to the analysis of Steklov eigenvalues and Steklov eigenfunctions on a class of warped product Riemannian manifolds $(M,g)$ whose boundary $\partial M$ consists in two distinct connected components $\Gamma_0 ...
Nicoleau, François   +2 more
core   +2 more sources

Small order asymptotics of the Dirichlet eigenvalue problem for the fractional Laplacian

open access: yes, 2022
We study the asymptotics of Dirichlet eigenvalues and eigenfunctions of the fractional Laplacian (−Δ)s in bounded open Lipschitz sets in the small order limit s→0+.
Weth, Tobias   +2 more
core   +1 more source

Geodesic bi-angles and Fourier coefficients of restrictions of eigenfunctions [PDF]

open access: yes, 2023
This article concerns joint asymptotics of Fourier coefficients of restrictions of Laplace eigenfunctions $\phi_j$ of a compact Riemannian manifold to a submanifold $H \subset M$. We fix a number $c \in (0,1)$ and study the asymptotics of the thin sums, $
Xi, Yakun   +2 more
core   +1 more source

On the studying the spectrum of differential operators’ family whose potentials converge to the Dirac delta function

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021
Background. The paper proposes a new method for studying differential operators with discontinuous coefficients. We study a sequence of differential operators of high even order whose potentials converge to the Dirac delta function.
S.I. Mitrokhin
doaj   +1 more source

Initial and boundary value problems in two and three dimensions [PDF]

open access: yes, 2010
This thesis: (a) presents the solution of several boundary value problems (BVPs) for the Laplace and the modified Helmholtz equations in the interior of an equilateral triangle; (b) presents the solution of the heat equation in the interior of an ...

core   +2 more sources

Steklov spectral problems in a set with a thin toroidal hole

open access: yesPartial Differential Equations in Applied Mathematics, 2020
The paper concerns the Steklov spectral problem for the Laplace operator, and some variants in a 3-dimensional bounded domain, with a cavity Γεhaving the shape of a thin toroidal set, with a constant cross-section of diameter ε≪1.
V. Chiadò Piat, S.A. Nazarov
doaj   +1 more source

On spectral properties of a fourth-order boundary value problem

open access: yesAin Shams Engineering Journal, 2013
In this work, we study a fourth-order boundary value problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point.
Erdoğan Şen
doaj   +1 more source

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