Results 101 to 110 of about 5,769 (217)

Solving inverse Sturm-Liouville problems: theory and practice

, 2017
Theoretical results on the solution of inverse Sturm-Liouville problems generally consider only idealized problems requiring much more data than is available in real applications.
Andrew, Alan
core  

Spectral and Oscillation Theory for an Unconventional Fractional Sturm–Liouville Problem

Fractal and Fractional
Here, we investigate the spectral and oscillation theory for a class of fractional differential equations subject to specific boundary conditions.
Mohammad Dehghan, Angelo B. Mingarelli
doaj   +1 more source

Orthonormal Bernstein Galerkin technique for computations of higher order eigenvalue problems. [PDF]

MethodsX, 2023
Farzana H, Bhowmik SK, Bhowmik SK, Islam MS.   +3 more
europepmc   +1 more source

Inverse scattering problems for energy-dependent Sturm-Liouville equations with point delta-interaction and eigenparameter-dependent boundary condition

Electronic Journal of Differential Equations, 2013
We consider an inverse problem of the scattering theory for energy-dependent Sturm-Liouville equations on the half line $[0,+\infty )$ with point $\delta $-interaction and eigenparameter-dependent boundary condition.
Manaf Dzh. Manafov, Abdullah Kablan
doaj  

Classical Sturm Liouville expansion theory.

, 1953
The idea of expanding a function in terms of the solutions of a second-order differential equation was first presented in a paper by Sturm and Liouville in 1836. But they gave a proof which is now not accepted.
Tiffin, Brian. F.
core  

Existence of solutions for a two-point boundary-value problem of a fourth-order Sturm-Liouville type

Electronic Journal of Differential Equations, 2012
In this work, we establish the existence of two intervals for a parameter $lambda$ for which a two-point boundary-value problem of fourth-order Sturm-Liouville type admits three weak solutions whose norms are uniformly bounded with respect to $lambda$.
Shapour Heidarkhani
doaj  

Optimal data acquisition in tomography. [PDF]

J Opt Soc Am A Opt Image Sci Vis, 2023
Javidan M, Esfandi H, Anderson R, Pashaie R.   +3 more
europepmc   +1 more source

Sturm-Liouville Theory and Orthogonal Functions

, 2009
Chebyschev polynomials, inessential singularities, extra examples and references ...
Azad, H., Mustafa, M. T.
openaire   +2 more sources

Description of the algebro-geometric Sturm–Liouville coefficients

, 2008
It was discovered recently that there is a class of Sturm–Liouville operators whose coefficients are related to algebro-geometric data via a construction analogous to that carried out in the 1970s for the Schrödinger operator by Dubrovin, Matveev, and ...
Zampogni, Luca, Johnson, Russell
core   +1 more source

Two Chebyshev Spectral Methods for Solving Normal Modes in Atmospheric Acoustics. [PDF]

Entropy (Basel), 2021
Wang Y, Tu H, Liu W, Xiao W, Lan Q.
europepmc   +1 more source