Electron. J. Differential Equations, Vol. 2017 (2017), No. 190, pp. 1-5.

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

Yasser Khalili, Milad Yadollahzadeh, Mohsen Khaleghi Moghadam

Abstract:
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.

Submitted January 20, 2017. Published July 28, 2017.
Math Subject Classifications: 34A55, 34L05.
Key Words: Half inverse problem; impulsive operator; spectral boundary condition.

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Yasser Khalili
Department of Basic Sciences
Sari Agricultural Sciences and Natural Resources University
Sari, Iran
email: y.khalili@sanru.ac.ir
Milad Yadollahzadeh
Department of Mathematics
University of Mazandaran
Babolsar, Iran
email: m.yadollahzadeh@yahoo.com
Mohsen Khaleghi Moghadam
Department of Basic Sciences
Sari Agricultural Sciences and Natural Resources University
Sari, Iran
email: m.khaleghi@sanru.ac.ir

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