Inverse spectral problems for energy-dependent Sturm–Liouville equations

R Hryniv, N Pronska - Inverse Problems, 2012 - iopscience.iop.org
We study the inverse spectral problem of reconstructing energy-dependent Sturm–Liouville
equations from their Dirichlet spectra and sequences of the norming constants. For the class …

Half inverse problems for quadratic pencils of Sturm-Liouville operators

CF Yang, A Zettl - Taiwanese Journal of Mathematics, 2012 - projecteuclid.org
Generally, the coefficients $ p (x) $ and $ q (x) $ of quadratic pencils of Sturm-Liouville
operators are uniquely determined by two spectra or one spectrum and norming constants …

Inverse problems for Sturm–Liouville difference equations

M Bohner, H Koyunbakan - Filomat, 2016 - JSTOR
We consider a discrete Sturm–Liouville problem with Dirichlet boundary conditions. We
show that the specification of the eigenvalues and weight numbers uniquely determines the …

[PDF][PDF] Half inverse problems for the impulsive singular diffusion operator

R Amirov, A Ergün - Turkish Journal of Science, 2020 - dergipark.org.tr
In this paper, we consider the inverse spectral problem for the impulsiveSturm-Liouville
differential pencils on \left0,π\right with theRobin boundary conditions and the jump …

Inverse nodal problem for p-Laplacian energy-dependent Sturm-Liouville equation

H Koyunbakan - Boundary Value Problems, 2013 - Springer
In this study, the inverse nodal problem is solved for p-Laplacian Schrödinger equation with
energy-dependent potential function with the Dirichlet conditions. Asymptotic estimates of …

[PDF][PDF] Inverse Sturm-Liouville problem with eigenparameter dependent boundary and transmission conditions

M Shahriari - Azerbaijan Journal of Mathematics, 2014 - researchgate.net
This paper deals with the boundary value problem involving the differential equation ℓy:=−
y′′+ qy= λy subject to the eigenparameter dependent boundary conditions along with the …

INVERSE NODAL PROBLEM FORp LAPLACIAN DIFFUSION EQUATION WITH POLYNOMIALLY DEPENDENT SPECTRAL PARAMETER

T Gulsen, E Yılmaz - … Faculty of Sciences University of Ankara …, 2016 - dergipark.org.tr
In this study, solution of inverse nodal problem for one-dimensional p-Laplacian diffusion
equation is extended to the case that boundary condition depends on polynomial eigen …

Impulsive diffusion equation on time scales

T Gulsen, SSM Sian, E Yilmaz… - International Journal of …, 2018 - etamaths.com
Application of boundary value problems (BVP's) on an arbitrary time scale T is a fairly new
and important subject in mathematics. In this study, we deal with an eigenvalue problem for …

Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions

M Shahriari - Computational Methods for Differential Equations, 2014 - cmde.tabrizu.ac.ir
This paper deals with the boundary value problem involving the differential equation ell y:=-
y''+ qy= lambda y, subject to the eigenparameter dependent boundary conditions along with …

A New Tool for Approaching Eigenvalues of the Quadratic Pencil of Schrödinger Operators

S Kamouche, M Kurulay, H Guebbai… - Lobachevskii Journal of …, 2024 - Springer
The aim of this paper is to establish a robust theoretical and numerical framework for
implementing the generalized spectrum approximation method in the context of quadratic …