Asymptotics of eigenvalues and eigenfunctions of energy-dependent Sturm-Liouville equations [PDF]
We study asymptotics of eigenvalues, eigenfunctions and normingconstants of singular energy-dependent Sturm--Liouville equationswith complex-valued potentials.
N. I. Pronska
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Approximation of eigenvalues of some unbounded self-adjoint discrete Jacobi matrices by eigenvalues of finite submatrices [PDF]
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
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Asymptotic formulations of the eigenvalues and eigenfunctions for a boundary value problem [PDF]
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
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Asymptotics of Eigenvalues and Eigenfunctions Of A Discontinuous Boundary Value Problem With a Spectral Parameter In The Transmission Condition [PDF]
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
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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
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Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument [PDF]
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
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Eigenvalue and Eigenfunction Asymptotics for Regular Sturm-Liouville Problems
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.
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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
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Asymptotic behavior of Eigenvalues and Eigenfunctions of T.Regge Fractional Problem
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
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Optimal partitioning of an interval and applications to Sturm-Liouville eigenvalues [PDF]
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.
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