Results 21 to 30 of about 4,764 (211)

STURM–LIOUVILLE PROBLEMS WITH DISCONTINUOUS POTENTIAL [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2008
AbstractWe consider a discontinuous Sturm–Liouville equation together with two supplementary transmission conditions at the point of discontinuity. We suggest our own approach for finding asymptotic approximation formulas for the eigenvalues of such discontinuous problems.
Akdogan, Z., Sasmaz, Z.
openaire   +3 more sources

The dual eigenvalue problems of the conformable fractional Sturm–Liouville problems

open access: yesBoundary Value Problems, 2021
In this paper, we are concerned with the eigenvalue gap and eigenvalue ratio of the Dirichlet conformable fractional Sturm–Liouville problems. We show that this kind of differential equation satisfies the Sturm–Liouville property by the Prüfer ...
Yan-Hsiou Cheng
doaj   +1 more source

Fractional Sturm–Liouville Eigenvalue Problems, II

open access: yesFractal and Fractional, 2022
We continue the study of a non-self-adjoint fractional three-term Sturm–Liouville boundary value problem (with a potential term) formed by the composition of a left Caputo and left Riemann–Liouville fractional integral under Dirichlet type boundary ...
Mohammad Dehghan, Angelo B. Mingarelli
doaj   +1 more source

Inverse spectral problems for Sturm–Liouville operators with partial information [PDF]

open access: yes, 2014
In this paper, we study the inverse spectral problems for Sturm–Liouville operators with Robin boundary conditions and show that if the potential q on the interval [0,α] for some α∈[0,1) is given a priori, then the potential q on the whole interval [0,1]
Wang, Yu-Ping; Shieh, Chung-Tsun; Ma, Yan-Ting   +1 more
core   +1 more source

Partial Inverse Sturm-Liouville Problems

open access: yesMathematics, 2023
This paper presents a review of both classical and modern results pertaining to partial inverse spectral problems for differential operators. Such problems consist in the recovery of differential expression coefficients in some part of the domain (a ...
Natalia P. Bondarenko
doaj   +1 more source

Fractional Sturm–Liouville problem

open access: yesComputers & Mathematics with Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malgorzata Klimek, Om Prakash Agrawal
openaire   +1 more source

Computation of eigenvalues of fractional Sturm–Liouville problems [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2021
We consider the eigenvalues of the fractional-order Sturm--Liouville equation of the form\begin{equation*}-{}^{c}D_{0^+}^{\alpha}\circ D_{0^+}^{\alpha} y(t)+q(t)y(t)=\lambda y(t),\quad ...
E.M. Maralani   +3 more
doaj   +1 more source

On fractional q-Sturm–Liouville problems [PDF]

open access: yesJournal of Fixed Point Theory and Applications, 2016
arXiv admin note: text overlap with arXiv:1602 ...
openaire   +2 more sources

The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems

open access: yesBoundary Value Problems, 2021
In this article, we consider the existence of solutions to the Sturm–Liouville differential equation with random impulses and boundary value problems.
Zihan Li, Xiao-Bao Shu, Tengyuan Miao
doaj   +1 more source

Special functions and generalized Sturm-Liouville problems

open access: yes, 2020
This book discusses theoretical and applied aspects of Sturm-Liouville theory and its generalization. It introduces and classifies generalized Sturm-Liouville problems in three different spaces: continuous, discrete, and q-discrete spaces, focusing on ...
Masjed-Jamei, Mohammad
core   +1 more source

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