Results 11 to 20 of about 486 (190)

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   +5 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

Asymptotic formulations of the eigenvalues and eigenfunctions for a boundary value problem [PDF]

open access: yesMathematical Methods in the Applied Sciences, 2012
In this work, a discontinuous boundary‐value problem with retarded argument that contains a spectral parameter in the transmission conditions at the point of discontinuity is investigated. We obtained asymptotic formulas for the eigenvalues and eigenfunctions. Copyright © 2012 John Wiley & Sons, Ltd.
Şen, Erdoğan, Bayramov, Azad
openaire   +3 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   +1 more source

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   +5 more
core   +2 more sources

Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument [PDF]

open access: yesJournal of Applied Mathematics, 2013
In the present paper, a discontinuous boundary-value problem with retarded argument at the two points of discontinuities is investigated. We obtained asymptotic formulas for the eigenvalues and eigenfunctions. This is the first work containing two discontinuities points in the theory of differential equations with retarded argument.
Erdogan Sen, Jong Jin Seo, Serkan Araci
openaire   +5 more sources

Eigenvalue and Eigenfunction Asymptotics for Regular Sturm-Liouville Problems

open access: yesJournal of Mathematical Analysis and Applications, 1994
Asymptotic formulas for the eigenvalues, eigenfunctions, and the reciprocals of the eigenfunction norms for Sturm-Liouville problems with regular end points are developed. The method is based on a transformation to Liouville normal form and an iterative procedure using an associated Volterra integral equation.
Fulton, C.T., Pruess, S.A.
openaire   +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

Asymptotic behavior of Eigenvalues and Eigenfunctions of T.Regge Fractional Problem

open access: yesJournal of Al-Qadisiyah for Computer Science and Mathematics, 2022
         The asymptotic behavior of eigenvalues and eigenfunctions of T.Regge fractional boundary value problem has been shown, and we state and prove some theorems for many results, also some necessary definitions and results. In this paper, we look into a group of fractional boundary value problem equations involving fractional derivative fractional ...
Karwan Hama Faraj Jwamer   +1 more
openaire   +1 more source

Optimal partitioning of an interval and applications to Sturm-Liouville eigenvalues [PDF]

open access: yes, 2020
We study the optimal partitioning of a (possibly unbounded) interval of the real line into n subintervals in order to minimize the maximum of certain set-functions, under rather general assumptions such as continuity, monotonicity, and a Radon-Nikodym ...
Tilli, Paolo, Zucco, Davide, Zucco, D.
core   +1 more source

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