Open AccessReconstruction 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