Inverse Sturm-Liouville problems with a Spectral Parameter in the Boundary and transmission conditions
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Abstract:
In this manuscript, we study 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. By defining a new Hilbert space and using its spectral data of a kind, it is shown that the potential function can be uniquely determined by part of a set of values of eigenfunctions at some interior point and parts of two sets of eigenvalues.
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Journal title
volume 03 issue 2
pages 75- 89
publication date 2016-06-01
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