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 the i...

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Veröffentlicht in:Electronic journal of differential equations 2017-07, Vol.2017 (190), p.1-5
Hauptverfasser: Yasser Khalili, Milad Yadollahzadeh, Mohsen Khaleghi Moghadam
Format: Artikel
Sprache:eng
Schlagworte:
Half inverse problem
impulsive operator
spectral boundary condition
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Zusammenfassung: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.
ISSN:1072-6691