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Inverse problems for Sturm–Liouville operators on a compact equilateral graph by partial nodal data
Author(s) -
Wang Yu Ping,
Shieh ChungTsun
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6775
Subject(s) - mathematics , equilateral triangle , uniqueness , graph , inverse , star (game theory) , nodal , operator (biology) , vertex (graph theory) , combinatorics , pure mathematics , mathematical analysis , geometry , biochemistry , chemistry , repressor , gene , transcription factor , medicine , anatomy
Partial inverse nodal problems for Sturm–Liouville operators on a compact equilateral star graph are investigated in this paper. Uniqueness theorems from partial twin‐dense nodal subsets in interior subintervals or arbitrary interior subintervals having the central vertex are proved. In particular, we posed and solved a new type partial inverse nodal problems for the Sturm–Liouville operator on the compact equilateral star graph.