Search Results - asymptotic behavior of the eigenvalues and eigenfunctions
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Oscillation theorems for the Dirac operator with a spectral parameter in the boundary condition
ISSN: 1417-3875Published: University of Szeged 01.01.2016Published in Electronic journal of qualitative theory of differential equations (01.01.2016)“… We give location of the eigenvalues on the real axis, study the oscillation properties of eigenvector-functions and obtain the asymptotic behavior of the eigenvalues…”
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Asymptotic behavior for eigenvalues and eigenfunctions associated to Stokes operator in the presence of a rapidly oscillating boundary
ISSN: 0170-4214, 1099-1476Published: Freiburg Wiley Subscription Services, Inc 15.03.2024Published in Mathematical methods in the applied sciences (15.03.2024)“…In this paper, we analyze rigorously the asymptotic behaviors for perturbation of eigenvalues and eigenfunctions associated to the Stokes eigenvalue problem in the presence of a rapidly oscillating boundary…”
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On the Asymptotic Behavior of Eigenvalues and Eigenfunctions of an Integral Convolution Operator with a Logarithmic Kernel on a Finite Interval
ISSN: 0012-2661, 1608-3083Published: Moscow Pleiades Publishing 01.09.2022Published in Differential equations (01.09.2022)“… on the entire line or on the half-line. For this reason, when studying their spectrum, some asymptotic method must be used…”
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On the Asymptotic Behavior of Eigenvalues and Eigenfunctions of the Robin Problem with Large Parameter
ISSN: 1392-6292, 1648-3510Published: Taylor & Francis 02.01.2017Published in Mathematical modelling and analysis (02.01.2017)“…, ν is the outward unit normal, α is a real parameter. We obtain two terms of the asymptotic expansion of simple eigenvalues of this problem for α…”
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Asymptotic Behaviors for Eigenvalues and Eigenfunctions Associated to Stokes Operator in the Presence of Small Boundary Perturbations
ISSN: 1385-0172, 1572-9656Published: Dordrecht Springer Netherlands 01.06.2017Published in Mathematical physics, analysis, and geometry (01.06.2017)“… The aim of this paper is to advance the development of high-order terms in the asymptotic expansions of the perturbations in the eigenvalues for the Stokes system caused by small perturbations…”
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6
Asymptotic behavior of Eigenvalues and Eigenfunctions of T.Regge Fractional Problem
ISSN: 2074-0204, 2521-3504Published: 24.09.2022Published in Journal of Al-Qadisiyah for Computer Science and Mathematics (24.09.2022)“… 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…”
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Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument
ISSN: 1110-757X, 1687-0042Published: Cairo, Egypt Hindawi Limiteds 01.01.2013Published in Journal of Applied Mathematics (01.01.2013)“… 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…”
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Asymptotic behaviors and numerical computations of the eigenfunctions and eigenvalues associated with the classical and circular prolate spheroidal wave functions
ISSN: 0096-3003, 1873-5649Published: Elsevier Inc 15.07.2012Published in Applied mathematics and computation (15.07.2012)“…For a fixed bandwidth c, the classical prolate spheroidal wave functions (PSWFs) ψn,c, and the circular ones (CPSWFs) φn,c, form remarkable Hilbertian bases…”
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The Eigenvalue Problem for the Regional Fractional Laplacian in the Small Order Limit
ISSN: 0926-2601, 1572-929XPublished: Dordrecht Springer Netherlands 01.01.2024Published in Potential analysis (01.01.2024)“…In this note, we study the asymptotic behavior of eigenvalues and eigenfunctions of the regional fractional Laplacian ( − Δ ) Ω s as s…”
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10
On the ratio of different norms of caloric functions and related eigenfunctions of an integral operator
ISSN: 1674-7283, 1869-1862Published: Heidelberg SP Science China Press 01.08.2012Published in Science China. Mathematics (01.08.2012)“… The related asymptotic behavior of the eigenvalues and eigenfunctions of certain integral operators is obtained…”
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Spectral Properties of a Fourth-Order Differential Operator with Eigenvalue Parameter-Dependent Boundary Conditions
ISSN: 0126-6705, 2180-4206Published: Singapore Springer Singapore 01.03.2022Published in Bulletin of the Malaysian Mathematical Sciences Society (01.03.2022)“…This paper is devoted to the study of the spectral properties of one eigenvalue problem for the fourth-order ordinary differential equations with a spectral parameter contained in two of the boundary conditions…”
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Asymptotic behavior of eigenvalues and eigenfunctions of the Fourier problem in a thick multilevel junction
ISSN: 0041-5995, 1573-9376Published: 01.02.2006Published in Ukrainian mathematical journal (01.02.2006)Get full text
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Asymptotic formulae for eigenvalues and eigenfunctions of q-Sturm-Liouville problems
ISSN: 0025-584X, 1522-2616Published: Germany WILEY-VCH Verlag 01.03.2011Published in Mathematische Nachrichten (01.03.2011)“…We investigate the asymptotic behavior of the eigenvalues and the eigenfunctions of q‐Sturm…”
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Spectral asymptotics and basis properties of fourth order differential operators with regular boundary conditions
ISSN: 0170-4214, 1099-1476Published: Freiburg Blackwell Publishing Ltd 30.03.2014Published in Mathematical methods in the applied sciences (30.03.2014)“… The boundary conditions of this problem are regular, but not strongly regular. Asymptotic formulae for eigenvalues and eigenfunctions of the considered boundary value problem are established…”
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Spectral Properties of Fourth Order Differential Operators with Periodic and Antiperiodic Boundary Conditions
ISSN: 1422-6383, 1420-9012Published: Basel Springer Basel 01.11.2015Published in Resultate der Mathematik (01.11.2015)“… Asymptotic formulae for eigenvalues and eigenfunctions of the considered boundary value problem are established…”
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Asymptotic behavior of the eigenvalues of the Steklov problem on a junction of domains of different limiting dimensions
ISSN: 0965-5425, 1555-6662Published: Dordrecht SP MAIK Nauka/Interperiodica 01.11.2012Published in Computational mathematics and mathematical physics (01.11.2012)“…The asymptotic behavior of eigenvalues and eigenfunctions of the Steklov problem on a junction of rectangles…”
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Asymptotic distribution of eigenvalues and eigenfunctions for a multi-point discontinuous Sturm-Liouville problem
ISSN: 1072-6691Published: Texas State University 06.06.2016Published in Electronic journal of differential equations (06.06.2016)“… transmission conditions at finite number interior points. The asymptotic behaviors of the eigenvalues and eigenfunctions are discussed…”
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On the Asymptotic Behavior of Eigenvalues and Eigenfunctions of Non-Self-Adjoint Elliptic Operators
ISSN: 1072-3374, 1573-8795Published: 01.03.2004Published in Journal of mathematical sciences (New York, N.Y.) (01.03.2004)Get full text
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Spectral properties of some regular boundary value problems for fourth order differential operators
ISSN: 1895-1074, 1644-3616, 2391-5455Published: Heidelberg SP Versita 01.01.2013Published in Central European journal of mathematics (01.01.2013)“… Asymptotic formulae for eigenvalues and eigenfunctions of the considered boundary value problem are established in the case α 3,2 + α 1,0 ≠ α 2,1…”
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Asymptotic behaviors for eigenvalues and eigenfunctions associated to Stokes operator in the presence of small boundary perturbations
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 21.12.2016Published in arXiv.org (21.12.2016)“… The aim of this paper is to advance the development of high-order terms in the asymptotic expansions of the boundary perturbations of eigen- values, eigenfunctions and eigenpressures for the Stokes…”
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