Search Results - eigenvalues and eigenfunctions problem

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  1. 1

    Properties of Eigenvalues and Generalized Eigenfunctions for Sturm–Liouville Problem with Eigenparameter-Dependent Boundary Conditions: Properties of Eigenvalues and Generalized Eigenfunctions by Li, Zhiyu, Zheng, Zhaowen, Zhang, Yinghan

    ISSN: 1660-5446, 1660-5454
    Published: Cham Springer International Publishing 05.11.2025
    Published in Mediterranean journal of mathematics (05.11.2025)
    “…This paper investigates the eigenvalues and generalized eigenfunctions of a Sturm…”
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    Journal Article
  2. 2

    The problem of finding eigenvalues and eigenfunctions of boundary value problems for mixed-type equations by Tojiboev, Ibrokhimjon Tojalievich

    ISSN: 1998-8621, 2311-2255
    Published: 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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  3. 3

    Properties of Eigenvalues and Generalized Eigenfunctions for Sturm–Liouville Problem with Eigenparameter-Dependent Boundary Conditions by Li, Zhiyu, Zheng, Zhaowen, Zhang, Yinghan

    ISSN: 1660-5446, 1660-5454
    Published: Heidelberg Springer Nature B.V 01.12.2025
    Published in Mediterranean journal of mathematics (01.12.2025)
    “…This paper investigates the eigenvalues and generalized eigenfunctions of a Sturm…”
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    Journal Article
  4. 4

    Upper bounds of nodal sets for eigenfunctions of eigenvalue problems by Lin, Fanghua, Zhu, Jiuyi

    ISSN: 0025-5831, 1432-1807
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2022
    Published 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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  5. 5

    An efficient numerical method for estimating eigenvalues and eigenfunctions of fractional Sturm–Liouville problems by Kashfi Sadabad, Mahnaz, Jodayree Akbarfam, Aliasghar

    ISSN: 0378-4754, 1872-7166
    Published: Elsevier B.V 01.07.2021
    Published 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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  6. 6

    The bounds of the mixed derivatives of the least eigenvalue and eigenfunction of the eigenvalue problem with stochastic density function by Chen, Zhijun, Zhang, Zhengfang, Deng, Ziyi, Zhang, Xianfei, Chen, Weifeng

    ISSN: 2837-0562, 2837-0562
    Published: 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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  7. 7

    Eigenvalue-eigenfunction problem for Steklov's smoothing operator and differential-difference equations of mixed type by Iakovlev, Serguei I., Iakovleva, Valentina

    ISSN: 1232-9274
    Published: AGH Univeristy of Science and Technology Press 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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  8. 8

    A Boundary Shape Function Method for Computing Eigenvalues and Eigenfunctions of Sturm–Liouville Problems by Liu, Chein-Shan, Chang, Jiang-Ren, Shen, Jian-Hung, Chen, Yung-Wei

    ISSN: 2227-7390, 2227-7390
    Published: Basel MDPI AG 01.10.2022
    Published 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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  9. 9

    Computation of eigenvalues and eigenfunctions of a Schrödinger‐type boundary‐value‐transmission problem with retarded argument by Şen, Erdoğan

    ISSN: 0170-4214, 1099-1476
    Published: Freiburg Wiley Subscription Services, Inc 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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  10. 10

    ON THE EIGENVALUES AND THE NODAL POINTS OF THE EIGENFUNCTIONS OF SOME EIGENVALUE PROBLEMS WITH EIGENPARAMETER-DEPENDENT BOUNDARY CONDITIONS by CHAN, CHI-HUA, HUANG, PO-CHUN

    ISSN: 0017-0895, 1469-509X
    Published: Cambridge, UK Cambridge University Press 01.01.2021
    Published 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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  11. 11

    Asymptotic formulae for eigenvalues and eigenfunctions of q-Sturm-Liouville problems by Annaby, Mahmoud H., Mansour, Zeinab S.

    ISSN: 0025-584X, 1522-2616
    Published: Germany WILEY-VCH Verlag 01.03.2011
    Published in Mathematische Nachrichten (01.03.2011)
    “…We investigate the asymptotic behavior of the eigenvalues and the eigenfunctions of q‐Sturm…”
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  12. 12

    The Properties of Eigenvalues and Eigenfunctions for Nonlocal Sturm–Liouville Problems by Liu, Zhiwen, Qi, Jiangang

    ISSN: 2073-8994, 2073-8994
    Published: Basel MDPI AG 01.05.2021
    Published 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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  13. 13

    One-dimensional quasilinear eigenvalue and eigenfunction problem by Kostomarov, D. P.

    ISSN: 0012-2661, 1608-3083
    Published: Dordrecht SP MAIK Nauka/Interperiodica 01.06.2011
    Published in Differential equations (01.06.2011)
    “…We consider a one-dimensional quasilinear eigenvalue and eigenfunction problem. The simplification of the problem by replacing a second-order elliptic operator…”
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  14. 14

    Asymptotic formulations of the eigenvalues and eigenfunctions for a boundary value problem by Şen, Erdoğan, Bayramov, Azad

    ISSN: 0170-4214, 1099-1476
    Published: Blackwell Publishing Ltd 01.08.2013
    “… We obtained asymptotic formulas for the eigenvalues and eigenfunctions. Copyright © 2012 John Wiley & Sons, Ltd…”
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  15. 15

    Dynamics of small bubble interface perturbations in vertical hele‐shaw cell with magnetic liquid under the action of normal magnetic field by Cirulis, T., Lietuvietis, O., Cēbers, A.

    ISSN: 1392-6292, 1648-3510
    Published: Vilnius Gediminas Technical University 31.12.2004
    Published in Mathematical modelling and analysis (31.12.2004)
    “…‐Shaw cell filled with magnetic liquid is considered. It is reduced to searching of eigenvalues and eigenfunctions for a linear operator with periodic boundary conditions…”
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  16. 16

    An efficient method to approximate eigenfunctions and high-index eigenvalues of regular Sturm–Liouville problems by Dehghan, M.

    ISSN: 0096-3003, 1873-5649
    Published: Elsevier Inc 10.04.2016
    Published 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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  17. 17

    Dynamics of small bubble interface perturbations in vertical hele-shaw cell with magnetic liquid under the action of normal magnetic field by Cirulis, T., Lietuvietis, O., Cēbers, A.

    ISSN: 1392-6292, 1648-3510
    Published: Taylor & Francis Group 01.01.2004
    Published in Mathematical modelling and analysis (01.01.2004)
    “… It is reduced to searching of eigenvalues and eigenfunctions for a linear operator with periodic boundary conditions…”
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  18. 18

    Computation of Eigenvalues and Eigenfunctions in the Solution of Eddy Current Problems by Theodoulidis, Theodoros, Skarlatos, Anastassios, Tytko, Grzegorz

    ISSN: 1424-8220, 1424-8220
    Published: Switzerland MDPI AG 01.03.2023
    Published 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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  19. 19

    Computation of eigenfunctions and eigenvalues for the Sturm–Liouville problem with Dirichlet boundary conditions at the left endpoint and Neumann conditions at the right endpoint by Khapaev, M. M., Khapaeva, T. M.

    ISSN: 0965-5425, 1555-6662
    Published: Moscow Pleiades Publishing 01.10.2016
    “…A functional-based variational method is proposed for finding the eigenfunctions and eigenvalues in the Sturm…”
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  20. 20

    A Numerical Study of Eigenvalues and Eigenfunctions of Fractional Sturm-Liouville Problems via Laplace Transform by Sadabad, Mahnaz Kashfi, Akbarfam, Aliasghar Jodayree, Shiri, Babak

    ISSN: 0019-5588, 0975-7465
    Published: New Delhi Indian National Science Academy 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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