Reconstruction of the Sturm-Liouville operators on a graph with $\delta'_s$ couplings | Zendy

ChuanFu Yang | Zendy

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Reconstruction of the Sturm-Liouville operators on a graph with $\delta'_s$ couplings

Author(s) -

ChuanFu Yang

Publication year - 2011

Publication title -

tamkang journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 18

eISSN - 0049-2930

pISSN - 2073-9826

DOI - 10.5556/j.tkjm.42.2011.773

Subject(s) - mathematics , eigenfunction , uniqueness , constructive , vertex (graph theory) , graph , operator (biology) , inverse , inverse problem , pure mathematics , discrete mathematics , mathematical analysis , eigenvalues and eigenvectors , geometry , computer science , biochemistry , physics , chemistry , process (computing) , quantum mechanics , repressor , transcription factor , gene , operating system

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 $delta'_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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