scholarly journals An inverse spectral problem for Sturm-Liouville operators with singular potentials on arbitrary compact graphs

2019 ◽  
Vol 50 (3) ◽  
pp. 293-305
Author(s):  
S. V. Vasiliev
Keyword(s):  
Inverse Problems ◽  
Spectral Problem ◽  
Differential Operators ◽  
Inverse Spectral Problem ◽  
Singular Potentials ◽  
Sturm Liouville ◽  
Inverse Spectral ◽  
Weyl Functions ◽  
Liouville Operators

Sturm-Liouville differential operators with singular potentials on arbitrary com- pact graphs are studied. The uniqueness of recovering operators from Weyl functions is proved and a constructive procedure for the solution of this class of inverse problems is provided.

scholarly journals Inverse spectral problems for differential operators on a graph with a rooted cycle

2009 ◽  
Vol 40 (3) ◽  
pp. 271-286 ◽  
Author(s):  
V. Yurko
Keyword(s):  
Spectral Problem ◽  
Uniqueness Theorem ◽  
Differential Operators ◽  
Inverse Spectral Problem ◽  
Inverse Spectral Problems ◽  
Matching Conditions ◽  
Spectral Problems ◽  
Sturm Liouville ◽  
Inverse Spectral

An inverse spectral problem is studied for Sturm-Liouville differential operators on graphs with a cycle and with standard matching conditions in internal vertices. A uniqueness theorem is proved, and a constructive procedure for the solution is provided.

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