Geodesic
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 
@article{EJDE_2016__2016__a7,
     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__a7/}
}
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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__a7/