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

نویسندگان
Khaleghi Moghadam, Mohsen ID 1
Khalili, Yasser ID 2

1 Department of Basic Sciences, Sari Agricultural Sciences and Natural Resources University, 578 Sari, Iran.

2 Department of Basic Sciences, Sari Agricultural Sciences and Natural Resources University, 578 Sari, Iran.

doi
10.22034/cmde.2021.34215.1567
چکیده

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 (0, 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.

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