Search Results - eigenvalues and eigenfunctions problem
-
1
Properties of Eigenvalues and Generalized Eigenfunctions for Sturm–Liouville Problem with Eigenparameter-Dependent Boundary Conditions: Properties of Eigenvalues and Generalized Eigenfunctions
ISSN: 1660-5446, 1660-5454Published: Cham Springer International Publishing 05.11.2025Published in Mediterranean journal of mathematics (05.11.2025)“…This paper investigates the eigenvalues and generalized eigenfunctions of a Sturm…”
Get full text
Journal Article -
2
The problem of finding eigenvalues and eigenfunctions of boundary value problems for mixed-type equations
ISSN: 1998-8621, 2311-2255Published: 01.02.2025Published 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…”
Get full text
Journal Article -
3
Properties of Eigenvalues and Generalized Eigenfunctions for Sturm–Liouville Problem with Eigenparameter-Dependent Boundary Conditions
ISSN: 1660-5446, 1660-5454Published: Heidelberg Springer Nature B.V 01.12.2025Published in Mediterranean journal of mathematics (01.12.2025)“…This paper investigates the eigenvalues and generalized eigenfunctions of a Sturm…”
Get full text
Journal Article -
4
Upper bounds of nodal sets for eigenfunctions of eigenvalue problems
ISSN: 0025-5831, 1432-1807Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2022Published 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…”
Get full text
Journal Article -
5
An efficient numerical method for estimating eigenvalues and eigenfunctions of fractional Sturm–Liouville problems
ISSN: 0378-4754, 1872-7166Published: Elsevier B.V 01.07.2021Published 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…”
Get full text
Journal Article -
6
The bounds of the mixed derivatives of the least eigenvalue and eigenfunction of the eigenvalue problem with stochastic density function
ISSN: 2837-0562, 2837-0562Published: 2025Published 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…”
Get full text
Journal Article -
7
Eigenvalue-eigenfunction problem for Steklov's smoothing operator and differential-difference equations of mixed type
ISSN: 1232-9274Published: AGH Univeristy of Science and Technology Press 2013Published 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…”
Get full text
Journal Article -
8
A Boundary Shape Function Method for Computing Eigenvalues and Eigenfunctions of Sturm–Liouville Problems
ISSN: 2227-7390, 2227-7390Published: Basel MDPI AG 01.10.2022Published in Mathematics (Basel) (01.10.2022)“…In the paper, we transform the general Sturm–Liouville problem (SLP) into two canonical forms…”
Get full text
Journal Article -
9
Computation of eigenvalues and eigenfunctions of a Schrödinger‐type boundary‐value‐transmission problem with retarded argument
ISSN: 0170-4214, 1099-1476Published: Freiburg Wiley Subscription Services, Inc 15.11.2018Published 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…”
Get full text
Journal Article -
10
ON THE EIGENVALUES AND THE NODAL POINTS OF THE EIGENFUNCTIONS OF SOME EIGENVALUE PROBLEMS WITH EIGENPARAMETER-DEPENDENT BOUNDARY CONDITIONS
ISSN: 0017-0895, 1469-509XPublished: Cambridge, UK Cambridge University Press 01.01.2021Published 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…”
Get full text
Journal Article -
11
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…”
Get full text
Journal Article -
12
The Properties of Eigenvalues and Eigenfunctions for Nonlocal Sturm–Liouville Problems
ISSN: 2073-8994, 2073-8994Published: Basel MDPI AG 01.05.2021Published 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…”
Get full text
Journal Article -
13
One-dimensional quasilinear eigenvalue and eigenfunction problem
ISSN: 0012-2661, 1608-3083Published: Dordrecht SP MAIK Nauka/Interperiodica 01.06.2011Published 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…”
Get full text
Journal Article -
14
Asymptotic formulations of the eigenvalues and eigenfunctions for a boundary value problem
ISSN: 0170-4214, 1099-1476Published: Blackwell Publishing Ltd 01.08.2013Published 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…”
Get full text
Journal Article -
15
Dynamics of small bubble interface perturbations in vertical hele‐shaw cell with magnetic liquid under the action of normal magnetic field
ISSN: 1392-6292, 1648-3510Published: Vilnius Gediminas Technical University 31.12.2004Published 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…”
Get full text
Journal Article -
16
An efficient method to approximate eigenfunctions and high-index eigenvalues of regular Sturm–Liouville problems
ISSN: 0096-3003, 1873-5649Published: Elsevier Inc 10.04.2016Published 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…”
Get full text
Journal Article -
17
Dynamics of small bubble interface perturbations in vertical hele-shaw cell with magnetic liquid under the action of normal magnetic field
ISSN: 1392-6292, 1648-3510Published: Taylor & Francis Group 01.01.2004Published 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…”
Get full text
Journal Article -
18
Computation of Eigenvalues and Eigenfunctions in the Solution of Eddy Current Problems
ISSN: 1424-8220, 1424-8220Published: Switzerland MDPI AG 01.03.2023Published 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…”
Get full text
Journal Article -
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
ISSN: 0965-5425, 1555-6662Published: Moscow Pleiades Publishing 01.10.2016Published in Computational mathematics and mathematical physics (01.10.2016)“…A functional-based variational method is proposed for finding the eigenfunctions and eigenvalues in the Sturm…”
Get full text
Journal Article -
20
A Numerical Study of Eigenvalues and Eigenfunctions of Fractional Sturm-Liouville Problems via Laplace Transform
ISSN: 0019-5588, 0975-7465Published: New Delhi Indian National Science Academy 01.09.2020Published 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…”
Get full text
Journal Article