noncompact graph
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scholarly journals Inverse scattering problem for Sturm-Liouville operator on one-vertex noncompact graph with a cycle

2011 ◽  
Vol 42 (3) ◽  
pp. 365-384 ◽  
Author(s):  
Mikhail Ignatiev
Keyword(s):  
Inverse Problem ◽  
Differential Operator ◽  
Uniqueness Theorem ◽  
Inverse Scattering ◽  
Liouville Operator ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Order Differential Operator ◽  
Sturm Liouville ◽  
Noncompact Graph

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.

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