Results 11 to 20 of about 11,653 (147)
Asymptotics of eigenvalues and eigenfunctions of energy-dependent Sturm-Liouville equations [PDF]
Математичні Студії, 2013 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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, 2006 We study the asymptotic behavior of the solutions of a spectral problem for the Laplacian in a domain with rapidly oscillating boundary. We consider the case where the eigenvalue of the limit problem is multiple.
A. G. Belyaev +42 more
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Asymptotic behavior of Eigenvalues and Eigenfunctions of T.Regge Fractional Problem
Journal 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
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Asymptotic formulations of the eigenvalues and eigenfunctions for a boundary value problem [PDF]
Mathematical 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
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Asymptotic formulae for eigenvalues and eigenfunctions of \(q\)-Sturm-Liouville problems
Mathematische Nachrichten, 2011 The authors consider a \(q\)-Sturm-Liouville problem: \[ \begin{aligned} - \frac{1}{q} D_{q^{-1}} D_q y(x) + \nu(x) y(x) &= \lambda y(x), \\ a_{11} y(0) + a_{12} D_{q^{-1}} y(0) &= 0, \\ a_{21} y(a) + a_{22} D_{q^{-1}} y(a) &= 0,\end{aligned} \] where \(0 \leq x \leq a < \infty\), the base \(q\) is taken positive and less than \(1\), and: \[ D_q f(x) :=
Annaby, Mahmoud H., Mansour, Zeinab S.
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Asymptotic expansions of eigenvalues and eigenfunctions of random boundary value problems [PDF]
Quarterly of Applied Mathematics, 1980 An asymptotic procedure is developed for calculating the eigenvalues and eigenfunctions of linear boundary-value problems which may contain random coefficients in the operator. The corresponding asymptotic series for the solution of a second-order initial-value problem is shown to be convergent.
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Differential operators admitting various rates of spectral projection growth [PDF]
, 2016 We consider families of non-self-adjoint perturbations of self-adjoint harmonic and anharmonic oscillators. The norms of spectral projections of these operators are found to grow at intermediate rates from arbitrarily slowly to exponentially rapidly ...
Mityagin, Boris, Siegl, Petr, Viola, Joe
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Steklov spectral problems in a set with a thin toroidal hole
Partial 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
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On the behavior of clamped plates under large compression [PDF]
, 2019 We determine the asymptotic behavior of eigenvalues of clamped plates under large compression by relating this problem to eigenvalues of the Laplacian with Robin boundary conditions.
Antunes, Pedro R. S. +2 more
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Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument [PDF]
Journal 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.
Erdoğan Şen +2 more
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