INVERSE PROBLEMS OF SPECTRAL ANALYSIS FOR STURM-LIOUVILLE OPERATORS WITH NONSEPARATED BOUNDARY CONDITIONS. II

1989 ◽  
Vol 64 (1) ◽  
pp. 141-160 ◽  
Author(s):  
O A Plaksina
Keyword(s):  
Spectral Analysis ◽  
Inverse Problems ◽  
Boundary Conditions ◽  
Nonseparated Boundary Conditions ◽  
Sturm Liouville ◽  
Liouville Operators

scholarly journals Inverse problems for differential operators with nonseparated boundary conditions in the central symmetric case

2017 ◽  
Vol 48 (4) ◽  
pp. 377-387 ◽  
Author(s):  
Vjacheslav Yurko
Keyword(s):  
Inverse Problems ◽  
Boundary Conditions ◽  
Differential Operators ◽  
Sufficient Conditions ◽  
Symmetric Case ◽  
Nonseparated Boundary Conditions ◽  
Separated Boundary Conditions ◽  
Sturm Liouville ◽  
Necessary And Sufficient ◽  
Liouville Operators

Inverse spectral problems for Sturm-Liouville operators on a finite interval with non-separated boundary conditions are studied in the central symmetric case, when the potential is symmetric with respect to the middle of the interval. We discuss statements of the problems, provide algorithms for their solutions along with necessary and sufficient conditions for the solvability of the inverse problems considered.

scholarly journals An inverse spectral problem for non-selfadjoint Sturm-Liouville operators with nonseparated boundary conditions

2012 ◽  
Vol 43 (2) ◽  
pp. 289-299 ◽  
Author(s):  
Vjacheslav Yurko
Keyword(s):  
Inverse Problem ◽  
Boundary Conditions ◽  
Spectral Problem ◽  
Uniqueness Theorem ◽  
Inverse Spectral Problem ◽  
Finite Interval ◽  
Spectral Characteristics ◽  
Nonseparated Boundary Conditions ◽  
Sturm Liouville ◽  
Liouville Operators

Non-selfadjoint Sturm-Liouville operators on a finite interval with nonseparated boundary conditions are studied. We establish properties of the spectral characteristics and investigate an inverse problem of recovering the operators from their spectral data. For this inverse problem we prove a uniqueness theorem and provide a procedure for constructing the solution.

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