Results 21 to 30 of about 4,826,204 (146)

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

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

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

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

Sturm-Liouville difference equations having Bessel and hydrogen atom potential type

open access: yesOpen Physics, 2018
In this work, we bring a different approach for Sturm-Liouville problems having Bessel and hydrogen atom type and we provide a basis for direct and inverse problems.
Bas Erdal   +2 more
doaj   +1 more source

Variational Estimation Methods for Sturm–Liouville Problems

open access: yesMathematics, 2022
In this paper, we are concerned with approach solutions for Sturm–Liouville problems (SLP) using variational problem (VP) formulation of regular SLP.
Elena Corina Cipu, Cosmin Dănuţ Barbu
doaj   +1 more source

Inverse Sturm-Liouville problems: some recent developments [PDF]

open access: yes, 2011
We consider numerical methods for obtaining, from spectral data, information on the potentials of Sturm--Liouville operators. In particular, we describe some recent work on methods using an asymptotic correction technique of Paine, de Hoog and Anderssen.
Andrew, Alan
core   +1 more source

Identification of the coefficients of equation for a vibrating rod in acoustic diagnostics

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2020
The work is devoted to the study solving some inverse problem of identifying the coefficients of Sturm-Liouville operator. Inverse problems in vibration are concerned with constructing a vibrating system of a particular type, e.g., a string, a rod, that
Zh.A. Kaiyrbek
doaj   +1 more source

A Survey of Nonlinear Sturm-Liouville Equations [PDF]

open access: yes, 2013
[[abstract]]This note gives a brief survey of existence, uniqueness and bifurcation results for nonlinear Sturm-Liouville equations. Early in 1960, Nehari made an interesting proposal to study solutions with a prescribed number of nodes.
Chen, Chao-Nien
core  

Inverse Sturm–Liouville problems with polynomials in nonseparated boundary conditions

open access: yes, 2022
An nonself-adjoint Sturm–Liouville problem with two polynomials in nonseparated boundary conditions are considered. It is shown that this problem have an infinite countable spectrum. The corresponding inverse problems is solved.
Akhtyamov, Azamat M.   +3 more
core   +1 more source

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