Inverse nodal problems for Sturm-Liouville equation with eigenparameter-dependent boundary and jump conditions. (English) Zbl 1326.34033
Summary: In this work, the Sturm-Liouville problem with boundary and jump conditions dependent on the spectral parameter linearly is studied. We show that all coefficients of the problem can be uniquely determined by nodal points. Moreover, we give an algorithm for reconstruction of the potential function and the coefficient in the jump conditions.
MSC:
34A55 | Inverse problems involving ordinary differential equations |
34B24 | Sturm-Liouville theory |
34L05 | General spectral theory of ordinary differential operators |
Keywords:
Sturm-Liouville equation; inverse nodal problem; parameter dependent boundary condition; discontinuity conditionReferences:
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