Incomplete and Interior Inverse Problem for a Discontinuous Differential Pencil with the Spectral Boundary Condition on the Half-Line

نویسندگان

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

2 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

doi
10.22052/mir.2022.243155.1314
چکیده

Differential pencils on the half-line with a spectral boundary condition having a discontinuity in an interior point are investigated. We prove two uniqueness theorems: (i) knowing β1 ,β0 and potentials p,q on (0,a), only eigenvalues suffice to determine the boundary value problem B. (ii) some in formation on eigenfunctions at x = a and eigenvalues establish the boundary value problem B.