Suchergebnisse - eigenvalues and eigenfunctions problems
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1
Tunneling estimates and approximate controllability for hypoelliptic equations
ISBN: 1470451387, 9781470451387ISSN: 0065-9266, 1947-6221Veröffentlicht: Providence, Rhode Island American Mathematical Society 2022“… hypoelliptic heat equation We also explain how the analyticity assumption can be relaxed, and a boundary Most results turn out to be optimal on a family of Grushin-type operators …”
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Properties of Eigenvalues and Generalized Eigenfunctions for Sturm–Liouville Problem with Eigenparameter-Dependent Boundary Conditions: Properties of Eigenvalues and Generalized Eigenfunctions
ISSN: 1660-5446, 1660-5454Veröffentlicht: Cham Springer International Publishing 05.11.2025Veröffentlicht in Mediterranean journal of mathematics (05.11.2025)“… This paper investigates the eigenvalues and generalized eigenfunctions of a Sturm …”
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Upper bounds of nodal sets for eigenfunctions of eigenvalue problems
ISSN: 0025-5831, 1432-1807Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2022Veröffentlicht in Mathematische annalen (01.04.2022)“… The aim of this article is to provide a simple and unified way to obtain the sharp upper bounds of nodal sets of eigenfunctions for different types of eigenvalue problems on real analytic domains …”
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4
The problem of finding eigenvalues and eigenfunctions of boundary value problems for mixed-type equations
ISSN: 1998-8621, 2311-2255Veröffentlicht: 01.02.2025Veröffentlicht in Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (01.02.2025)“… In this work, eigenvalues and eigenfunctions of the boundary value problem with the Frankl condition for an elliptic-hyperbolic type equation in a special domain are considered …”
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An efficient numerical method for estimating eigenvalues and eigenfunctions of fractional Sturm–Liouville problems
ISSN: 0378-4754, 1872-7166Veröffentlicht: Elsevier B.V 01.07.2021Veröffentlicht in Mathematics and computers in simulation (01.07.2021)“… The eigenfunctions are approximated and some of their properties are investigated. The experimental rate of convergence of numerical calculations for the eigenvalues is reported and the order convergence of the numerical method is obtained. Finally, some examples are presented to illustrate the efficiency and accuracy of the numerical method …”
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A Boundary Shape Function Method for Computing Eigenvalues and Eigenfunctions of Sturm–Liouville Problems
ISSN: 2227-7390, 2227-7390Veröffentlicht: Basel MDPI AG 01.10.2022Veröffentlicht in Mathematics (Basel) (01.10.2022)“… In the paper, we transform the general Sturm–Liouville problem (SLP) into two canonical forms …”
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Properties of Eigenvalues and Generalized Eigenfunctions for Sturm–Liouville Problem with Eigenparameter-Dependent Boundary Conditions
ISSN: 1660-5446, 1660-5454Veröffentlicht: Heidelberg Springer Nature B.V 01.12.2025Veröffentlicht in Mediterranean journal of mathematics (01.12.2025)“… This paper investigates the eigenvalues and generalized eigenfunctions of a Sturm …”
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ON THE EIGENVALUES AND THE NODAL POINTS OF THE EIGENFUNCTIONS OF SOME EIGENVALUE PROBLEMS WITH EIGENPARAMETER-DEPENDENT BOUNDARY CONDITIONS
ISSN: 0017-0895, 1469-509XVeröffentlicht: Cambridge, UK Cambridge University Press 01.01.2021Veröffentlicht in Glasgow mathematical journal (01.01.2021)“… Consider the following two eigenvalue problems: (0.1) \begin{cases}\label{eqn:1abs}y"(x)+[\lambda^2-q(x)]y(x)=0, 0 \leq x \leq \pi,\\[3pt] y(0)=0, ay'(\pi …”
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Asymptotic formulae for eigenvalues and eigenfunctions of q-Sturm-Liouville problems
ISSN: 0025-584X, 1522-2616Veröffentlicht: Germany WILEY-VCH Verlag 01.03.2011Veröffentlicht in Mathematische Nachrichten (01.03.2011)“… We investigate the asymptotic behavior of the eigenvalues and the eigenfunctions of q‐Sturm …”
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The bounds of the mixed derivatives of the least eigenvalue and eigenfunction of the eigenvalue problem with stochastic density function
ISSN: 2837-0562, 2837-0562Veröffentlicht: 2025Veröffentlicht in Communications on Analysis and Computation (2025)“… Then, the total truncation-FE-QMC error is obtained based on the bounds of the mixed derivatives of the least eigenvalue and eigenfunction for the eigenvalue problem …”
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The Properties of Eigenvalues and Eigenfunctions for Nonlocal Sturm–Liouville Problems
ISSN: 2073-8994, 2073-8994Veröffentlicht: Basel MDPI AG 01.05.2021Veröffentlicht in Symmetry (Basel) (01.05.2021)“… The comparison result of eigenvalues and the oscillation properties of eigenfunctions indicate that the spectral properties of nonlocal problems are very different from those of classical Sturm–Liouville problems …”
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Eigenvalue-eigenfunction problem for Steklov's smoothing operator and differential-difference equations of mixed type
ISSN: 1232-9274Veröffentlicht: AGH Univeristy of Science and Technology Press 2013Veröffentlicht in Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica (2013)“… \) acting on the space \(L^1_{loc}(\mathbb{R})\). For \(\mu \neq 0\) the eigenvalue-eigenfunction problem leads to studying a differential-difference equation of mixed type …”
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Computation of eigenvalues and eigenfunctions of a Schrödinger‐type boundary‐value‐transmission problem with retarded argument
ISSN: 0170-4214, 1099-1476Veröffentlicht: Freiburg Wiley Subscription Services, Inc 15.11.2018Veröffentlicht in Mathematical methods in the applied sciences (15.11.2018)“… 31, AMS, Providence, RI, 1972] and suggesting own approaches, we find asymptotic formulas for the eigenvalues and eigenfunctions of the second …”
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An efficient method to approximate eigenfunctions and high-index eigenvalues of regular Sturm–Liouville problems
ISSN: 0096-3003, 1873-5649Veröffentlicht: Elsevier Inc 10.04.2016Veröffentlicht in Applied mathematics and computation (10.04.2016)“… The computation of the eigenvalues of a Sturm–Liouville problem is a difficult task, when high-index eigenvalues are computed …”
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Computation of Eigenvalues and Eigenfunctions in the Solution of Eddy Current Problems
ISSN: 1424-8220, 1424-8220Veröffentlicht: Switzerland MDPI AG 01.03.2023Veröffentlicht in Sensors (Basel, Switzerland) (01.03.2023)“… The solution of the eigenvalue problem in bounded domains with planar and cylindrical stratification is a necessary preliminary task for the construction of modal solutions to canonical problems with discontinuities …”
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Adiabatic Evolution and Shape Resonances
ISBN: 9781470454210, 1470454211ISSN: 0065-9266, 1947-6221Veröffentlicht: Providence, Rhode Island American Mathematical Society 2022“… Motivated by a problem of one mode approximation for a non-linear evolution with charge accumulation in potential wells, we consider a general linear adiabatic evolution problem for a semi-classical …”
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17
Asymptotic formulations of the eigenvalues and eigenfunctions for a boundary value problem
ISSN: 0170-4214, 1099-1476Veröffentlicht: Blackwell Publishing Ltd 01.08.2013Veröffentlicht in Mathematical methods in the applied sciences (01.08.2013)“… We obtained asymptotic formulas for the eigenvalues and eigenfunctions. Copyright © 2012 John Wiley & Sons, Ltd …”
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A Numerical Study of Eigenvalues and Eigenfunctions of Fractional Sturm-Liouville Problems via Laplace Transform
ISSN: 0019-5588, 0975-7465Veröffentlicht: New Delhi Indian National Science Academy 01.09.2020Veröffentlicht in Indian journal of pure and applied mathematics (01.09.2020)“… The Laplace transform method is applied to obtain algebraic equations. Then, the eigenvalues and the eigenfunctions of the fractional Sturm-Liouville problems are obtained numerically …”
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Eigenvalues and eigenfunctions of discontinuous Sturm--Liouville problems with eigenparameter-dependent boundary conditions
ISSN: 0236-5294, 1588-2632Veröffentlicht: 01.01.2004Veröffentlicht in Acta mathematica Hungarica (01.01.2004)Volltext
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Limiting classification on linearized eigenvalue problems for 1-dimensional Allen–Cahn equation II — Asymptotic profiles of eigenfunctions
ISSN: 0022-0396, 1090-2732Veröffentlicht: Elsevier Inc 15.11.2016Veröffentlicht in Journal of Differential Equations (15.11.2016)“… This paper is a continuation of a previous paper by the authors. We are interested in the asymptotic behavior of eigenpairs on one dimensional linearized eigenvalue problem for Allen …”
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