مساله وارون برای عملگرهای استورم-لیوویل با شرایط مرزی انتقالی و وابسته به پارامتر

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:

Inverse Sturm--Liouville equation , Non self-adjoint operator , Jump condition , Hilbert space