Geodesic
Inverse scattering problems for energy-dependent Sturm-Liouville equations with point delta-interaction and eigenparameter-dependent boundary condition
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider an inverse problem of the scattering theory for energy-dependent Sturm-Liouville equations on the half line $[0,+\infty )$ with point $\delta $-interaction and eigenparameter-dependent boundary condition. We define the scattering data of the problem first, then consider the basic equation and study an algorithm for finding the potentials with the given scattering data.
Classification : 34A55, 34B24, 47E05
Keywords: inverse scattering, scattering data, point delta-interaction, eigenvalue-dependent boundary condition 
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     author = {Manafov, Manaf Dzh. and Kablan, Abdullah},
     title = {Inverse scattering problems for energy-dependent {Sturm-Liouville} equations with point delta-interaction and eigenparameter-dependent boundary condition},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a46/}
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Manafov, Manaf Dzh.; Kablan, Abdullah. Inverse scattering problems for energy-dependent Sturm-Liouville equations with point delta-interaction and eigenparameter-dependent boundary condition. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a46/