Turkish Journal of Mathematics
Article Title
Half Inverse Problems For The Impulsive Quadratic Pencil With The Discontinouty Coefficient
DOI
10.3906/mat-2104-40
Abstract
In this paper, we study the inverse spectral problem for the quadratic differential pencils with discontinuity coefficient on $\left[ 0,\pi\right] $ with separable boundary conditions and the impulsive conditions at the point $x=\dfrac{\pi}{2}$. We prove that two potential functions on the interval $\left[ 0,\pi\right] $, and the parameters in the boundary and impulsive conditions can be determined from a sequence of eigenvalues for two cases: (i) The potentials are given on $\left( 0,\dfrac{\pi}{4}\left( 1+\alpha\right) \right) ,$ (ii) The potentials are given on $\left( \dfrac{\pi}{4}\left( 1+\alpha\right) ,\pi\right) $, where $0
Keywords
Inverse spectral problems, Sturm--Liouville operator, spectrum, uniqueness
First Page
1847
Last Page
1870
Recommended Citation
AMİROV, RAUF and DURAK, SEVİM
(2021)
"Half Inverse Problems For The Impulsive Quadratic Pencil With The Discontinouty Coefficient,"
Turkish Journal of Mathematics: Vol. 45:
No.
4, Article 27.
https://doi.org/10.3906/mat-2104-40
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss4/27
