Inverse scattering problems for energy-dependent Sturm-Liouville equations with point delta-interaction and eigenparameter-dependent boundary condition

Inverse scattering problems for energy-dependent Sturm-Liouville equations with point delta-interaction and eigenparameter-dependent boundary condition

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 equ...

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Main Authors: Manaf Dzh. Manafov, Abdullah Kablan
Format: Article
Language:English
Published: Texas State University 2013-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Inverse scattering
scattering data
point delta-interaction
eigenvalue-dependent boundary condition
Online Access:http://ejde.math.txstate.edu/Volumes/2013/237/abstr.html
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spelling doaj-cfece68c548046458cecbf771c05b5572020-11-24T23:57:57ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-10-012013237,19Inverse scattering problems for energy-dependent Sturm-Liouville equations with point delta-interaction and eigenparameter-dependent boundary conditionManaf Dzh. Manafov0Abdullah Kablan1 Adiyaman Univ., Adiyaman, 02040, Turkey Gaziantep Univ., Gaziantep, 27310, Turkey 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.http://ejde.math.txstate.edu/Volumes/2013/237/abstr.htmlInverse scatteringscattering datapoint delta-interactioneigenvalue-dependent boundary condition
collection DOAJ
language English
format Article
sources DOAJ
author Manaf Dzh. Manafov
Abdullah Kablan
spellingShingle Manaf Dzh. Manafov
Abdullah Kablan
Inverse scattering problems for energy-dependent Sturm-Liouville equations with point delta-interaction and eigenparameter-dependent boundary condition
Electronic Journal of Differential Equations
Inverse scattering
scattering data
point delta-interaction
eigenvalue-dependent boundary condition
author_facet Manaf Dzh. Manafov
Abdullah Kablan
author_sort Manaf Dzh. Manafov
title Inverse scattering problems for energy-dependent Sturm-Liouville equations with point delta-interaction and eigenparameter-dependent boundary condition
title_short Inverse scattering problems for energy-dependent Sturm-Liouville equations with point delta-interaction and eigenparameter-dependent boundary condition
title_full Inverse scattering problems for energy-dependent Sturm-Liouville equations with point delta-interaction and eigenparameter-dependent boundary condition
title_fullStr Inverse scattering problems for energy-dependent Sturm-Liouville equations with point delta-interaction and eigenparameter-dependent boundary condition
title_full_unstemmed Inverse scattering problems for energy-dependent Sturm-Liouville equations with point delta-interaction and eigenparameter-dependent boundary condition
title_sort inverse scattering problems for energy-dependent sturm-liouville equations with point delta-interaction and eigenparameter-dependent boundary condition
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2013-10-01
description 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.
topic Inverse scattering
scattering data
point delta-interaction
eigenvalue-dependent boundary condition
url http://ejde.math.txstate.edu/Volumes/2013/237/abstr.html
work_keys_str_mv AT manafdzhmanafov inversescatteringproblemsforenergydependentsturmliouvilleequationswithpointdeltainteractionandeigenparameterdependentboundarycondition
AT abdullahkablan inversescatteringproblemsforenergydependentsturmliouvilleequationswithpointdeltainteractionandeigenparameterdependentboundarycondition
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