Open AccessInverse scattering problem for Sturm-Liouville operator on one-vertex noncompact graph with a cycle
Author(s) -
M. Yu. Ignatiev
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.42.2011.913
Subject(s) - mathematics , vertex (graph theory) , inverse , uniqueness , graph , operator (biology) , uniqueness theorem for poisson's equation , differential operator , inverse problem , inverse scattering problem , combinatorics , discrete mathematics , pure mathematics , mathematical analysis , geometry , biochemistry , chemistry , repressor , transcription factor , gene
A scattering problem is studied for second-order differential operator on one-vertex noncompact graph with a cycle and with standard matching conditions in the vertex. A uniqueness theorem for a corresponding inverse problem is proved and a procedure for solving the problem is provided