Inverse problem for Sturm-Liouville operators with a transmission and parameter dependent boundary conditions

Document Type : Research Articles

Authors

{Department of Mathematics}, {Faculty of Science}, {University of Maragheh,} {Maragheh-Iran.}

Abstract

In this manuscript, we consider the inverse problem for non self-adjoint Sturm--Liouville operator $-D^2+q$ with eigenparameter dependent boundary and discontinuity conditions inside a finite closed interval. We prove by defining a new Hilbert space and using spectral data of a kind, the potential function can be uniquely determined by a set of value of eigenfunctions at an interior point and part of two sets of eigenvalues.

Keywords

Caspian Journal of Mathematical Sciences
Volume 6, Issue 2
July 2017
Pages 107-119

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