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Sinan Ozkan, A.; Keskin, Baki

Inverse nodal problems for Sturm-Liouville equation with eigenparameter-dependent boundary and jump conditions. (English) Zbl 1326.34033

Inverse Probl. Sci. Eng. 23, No. 8, 1306-1312 (2015).
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.

Cited in 15 Documents

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 condition
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References:

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