The interior inverse boundary value problem for the impulsive Sturm-Liouville operator with the spectral boundary conditions

Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_CMDE-10-2_017

تاریخ نمایه سازی: 9 بهمن 1401

Abstract:

In this study, we discuss the inverse problem for the Sturm-Liouville operator with the impulse and with the spectral boundary conditions on the finite interval (۰, π). By taking the Mochizuki-Trooshin’s method, we have shown that some information of eigenfunctions at some interior point and parts of two spectra can uniquely determine the potential function q(x) and the boundary conditions.

Keywords:

. Inverse problem , Sturm-Liouville operator with the impulse , Spectral boundary condition , Spectrum

Authors

Yasser Khalili

Department of Basic Sciences, Sari Agricultural Sciences and Natural Resources University, ۵۷۸ Sari, Iran.

Mohsen Khaleghi Moghadam

Department of Basic Sciences, Sari Agricultural Sciences and Natural Resources University, ۵۷۸ Sari, Iran.

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