Inverse spectral problems for energy-dependent Sturm-Liouville equations with finitely many point \(\delta\)-interactions
Electronic journal of differential equations, Tome 2016 (2016)
In this study, inverse spectral problems for a energy-dependent Sturm-Liouville equations with finitely many point $\delta $-interactions. The uniqueness theorems for the inverse problems of reconstruction of the boundary value problem from the Weyl function, from the spectral data and from two spectra are proved and a constructive procedure for finding its solution are obtained.
Classification :
34A55, 34B24, 34L05
Keywords: energy-dependent Sturm-Liouville equation, inverse spectral problems, point delta-interactions
Keywords: energy-dependent Sturm-Liouville equation, inverse spectral problems, point delta-interactions
@article{EJDE_2016__2016__a40,
author = {Manafov, Manaf Dzh.},
title = {Inverse spectral problems for energy-dependent {Sturm-Liouville} equations with finitely many point \(\delta\)-interactions},
journal = {Electronic journal of differential equations},
year = {2016},
volume = {2016},
zbl = {1329.34038},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a40/}
}
TY - JOUR AU - Manafov, Manaf Dzh. TI - Inverse spectral problems for energy-dependent Sturm-Liouville equations with finitely many point \(\delta\)-interactions JO - Electronic journal of differential equations PY - 2016 VL - 2016 UR - http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a40/ LA - en ID - EJDE_2016__2016__a40 ER -
%0 Journal Article %A Manafov, Manaf Dzh. %T Inverse spectral problems for energy-dependent Sturm-Liouville equations with finitely many point \(\delta\)-interactions %J Electronic journal of differential equations %D 2016 %V 2016 %U http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a40/ %G en %F EJDE_2016__2016__a40
Manafov, Manaf Dzh. Inverse spectral problems for energy-dependent Sturm-Liouville equations with finitely many point \(\delta\)-interactions. Electronic journal of differential equations, Tome 2016 (2016). http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a40/