Half inverse problems for the impulsive operator with eigenvalue-dependent boundary conditions

Half inverse problems for the impulsive operator with eigenvalue-dependent boundary conditions

In this work we study a Sturm-Liouville operator with a piece-wise continuous coefficient and a spectral parameter in the boundary condition. We show that if the potential function is ascertained in $(\pi/2, \pi)$ then one spectrum suffices to determinate the potential function in the whole of...

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Main Authors: Yasser Khalili, Milad Yadollahzadeh, Mohsen Khaleghi Moghadam
Format: Article
Language:English
Published: Texas State University 2017-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Half inverse problem
impulsive operator
spectral boundary condition
Online Access:http://ejde.math.txstate.edu/Volumes/2017/190/abstr.html
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spelling doaj-e62ddc2fc5b94549b29c31e67a169bd62020-11-24T23:46:57ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-07-012017190,15Half inverse problems for the impulsive operator with eigenvalue-dependent boundary conditionsYasser Khalili0Milad Yadollahzadeh1Mohsen Khaleghi Moghadam2 Sari Agricultural Sciences Univ., Sari, Iran Univ. of Mazandaran, Babolsar, Iran Sari Agricultural Sciences Univ., Sari, Iran In this work we study a Sturm-Liouville operator with a piece-wise continuous coefficient and a spectral parameter in the boundary condition. We show that if the potential function is ascertained in $(\pi/2, \pi)$ then one spectrum suffices to determinate the potential function in the whole of the interval.http://ejde.math.txstate.edu/Volumes/2017/190/abstr.htmlHalf inverse problemimpulsive operatorspectral boundary condition
collection DOAJ
language English
format Article
sources DOAJ
author Yasser Khalili
Milad Yadollahzadeh
Mohsen Khaleghi Moghadam
spellingShingle Yasser Khalili
Milad Yadollahzadeh
Mohsen Khaleghi Moghadam
Half inverse problems for the impulsive operator with eigenvalue-dependent boundary conditions
Electronic Journal of Differential Equations
Half inverse problem
impulsive operator
spectral boundary condition
author_facet Yasser Khalili
Milad Yadollahzadeh
Mohsen Khaleghi Moghadam
author_sort Yasser Khalili
title Half inverse problems for the impulsive operator with eigenvalue-dependent boundary conditions
title_short Half inverse problems for the impulsive operator with eigenvalue-dependent boundary conditions
title_full Half inverse problems for the impulsive operator with eigenvalue-dependent boundary conditions
title_fullStr Half inverse problems for the impulsive operator with eigenvalue-dependent boundary conditions
title_full_unstemmed Half inverse problems for the impulsive operator with eigenvalue-dependent boundary conditions
title_sort half inverse problems for the impulsive operator with eigenvalue-dependent boundary conditions
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2017-07-01
description In this work we study a Sturm-Liouville operator with a piece-wise continuous coefficient and a spectral parameter in the boundary condition. We show that if the potential function is ascertained in $(\pi/2, \pi)$ then one spectrum suffices to determinate the potential function in the whole of the interval.
topic Half inverse problem
impulsive operator
spectral boundary condition
url http://ejde.math.txstate.edu/Volumes/2017/190/abstr.html
work_keys_str_mv AT yasserkhalili halfinverseproblemsfortheimpulsiveoperatorwitheigenvaluedependentboundaryconditions
AT miladyadollahzadeh halfinverseproblemsfortheimpulsiveoperatorwitheigenvaluedependentboundaryconditions
AT mohsenkhaleghimoghadam halfinverseproblemsfortheimpulsiveoperatorwitheigenvaluedependentboundaryconditions
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