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Reconstruction of the Sturm-Liouville Operators on a Graph with δ'(subscript s) Couplings

並列摘要


Inverse nodal problems consist in constructing operators from the given zeros of their eigenfunctions. In this work, we deal with the inverse nodal problems of reconstructing the Sturm-Liouville operator on a star graph with δ'(subscript s) couplings at the central vertex. The uniqueness theorem is proved and a constructive procedure for the solution is provided from a dense subset of zeros of the eigenfunctions for the problem as a data.

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