Reconstruction of the Sturm–Liouville Operator on a Graph from Subinterval Nodes

Autor:	Chuan-Fu Yang, Sheng-Yu Guan
Rok vydání:	2021
Předmět:	Matching (graph theory) General Mathematics A* search algorithm Sturm–Liouville theory Mathematics::Spectral Theory Vertex (geometry) law.invention Combinatorics Operator (computer programming) law Quantum graph Graph (abstract data type) Boundary value problem Mathematics
Zdroj:	Taiwanese Journal of Mathematics. 25
ISSN:	1027-5487
DOI:	10.11650/tjm/210302
Popis:	We consider inverse subinterval-nodal problems for the Sturm–Liouville operator on a star graph with mixed boundary conditions in pendant vertices and the standard matching conditions at the interior vertex. Can subinterval nodes recognize star-shaped quantum graphs? In this paper we give a positive answer. It is shown that the data of subinterval-nodes near the interior vertex can uniquely determine the potential on a graph and boundary conditions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::095a76943f9be69cfcc1411ecffd7f27 https://doi.org/10.11650/tjm/210302 Zobrazit plný text záznamu