Incomplete inverse spectral and nodal problems for differential pencils

SA Buterin, CT Shieh - Results in Mathematics, 2012 - Springer
We prove uniqueness theorems for so-called half inverse spectral problem (and also for
some its modification) for second order differential pencils on a finite interval with Robin …

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 …

[PDF][PDF] General inverse Sturm-Liouville problem with symmetric potential

VA Sadovnichii, YT Sultanaev… - Azerbaijan Journal of …, 2015 - azjm.org
The uniqueness theorems for an inverse nonselfadjoint Sturm-Liouville problem with
symmetric potential and general boundary conditions are proved. The spectral data used for …

Inverse spectral problems for the Sturm–Liouville operator on a d-star graph

CF Yang - Journal of mathematical analysis and applications, 2010 - Elsevier
In this work, we consider inverse spectral problems for the Sturm–Liouville differential
operator on a d-star-type graph with standard matching conditions in the internal vertex …

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 …

Half‐inverse problems for the quadratic pencil of the Sturm–Liouville equations with impulse

R Amirov, A Ergun, S Durak - Numerical Methods for Partial …, 2021 - Wiley Online Library
In this paper, we consider the inverse spectral problem for the impulsive Sturm–Liouville
differential pencils on [0, π] with the Robin boundary conditions and the jump conditions at …

Inverse nodal problem for a conformable fractional diffusion operator

Y Çakmak - Inverse Problems in Science and Engineering, 2021 - Taylor & Francis
In this paper, a second order differential pencil, namely diffusion equation with Dirichlet
boundary conditions which includes conformable fractional derivatives of order α (0< α≤ 1) …

[HTML][HTML] A new generalized Hilfer-type fractional derivative with applications to space-time diffusion equation

TU Khan, MA Khan, YM Chu - Results in Physics, 2021 - Elsevier
This paper is concerned to present and apply a new generalized fractional derivative, that is
the Generalized Hilfer-type (GH) fractional derivative. This derivative unifies various …

Inverse problems for Sturm–Liouville operators with interior discontinuities and boundary conditions dependent on the spectral parameter

YP Wang - Mathematical Methods in the Applied Sciences, 2013 - Wiley Online Library
In this paper, we discuss the inverse problem for Sturm–Liouville operators with arbitrary
number of interior discontinuities and boundary conditions having fractional linear function …

Hochstadt–Lieberman theorem for Dirac operator with eigenparameter dependent boundary conditions

CF Yang - Nonlinear Analysis: Theory, Methods & Applications, 2011 - Elsevier
We consider an inverse problem for the Dirac operator with the spectral parameter in the
boundary conditions. In this work, using Hochstadt and Lieberman's method (Hochstadt and …