Inverse Spectral Problems for Sturm–Liouville Operators with a Constant Delay Less than Half the Length of the Interval and Robin Boundary Conditions

2019 ◽  
Vol 74 (1) ◽  
Author(s):  
Milenko Pikula ◽  
Vladimir Vladičić ◽  
Biljana Vojvodić
Keyword(s):  
Boundary Conditions ◽  
Robin Boundary Conditions ◽  
Inverse Spectral Problems ◽  
Constant Delay ◽  
Spectral Problems ◽  
Sturm Liouville ◽  
Inverse Spectral ◽  
Robin Boundary ◽  
Liouville Operators

scholarly journals INVERSE SPECTRAL PROBLEMS FOR STURM–LIOUVILLE OPERATORS WITH SINGULAR POTENTIALS. IV. POTENTIALS IN THE SOBOLEV SPACE SCALE

2006 ◽  
Vol 49 (2) ◽  
pp. 309-329 ◽  
Author(s):  
Rostyslav O. Hryniv ◽  
Yaroslav V. Mykytyuk
Keyword(s):  
Sobolev Space ◽  
Spectral Data ◽  
Sufficient Conditions ◽  
Inverse Spectral Problems ◽  
Singular Potentials ◽  
Spectral Problems ◽  
Sturm Liouville ◽  
Inverse Spectral ◽  
Necessary And Sufficient ◽  
Liouville Operators

AbstractWe solve the inverse spectral problems for the class of Sturm–Liouville operators with singular real-valued potentials from the Sobolev space $W^{s-1}_2(0,1)$, $s\in[0,1]$. The potential is recovered from two spectra or from one spectrum and the norming constants. Necessary and sufficient conditions for the spectral data to correspond to a potential in $W^{s-1}_2(0,1)$ are established.

scholarly journals Inverse spectral problems for Sturm–Liouville operators with partial information

2013 ◽  
Vol 26 (12) ◽  
pp. 1175-1181 ◽  
Author(s):  
Yu Ping Wang ◽  
Chung Tsun Shieh ◽  
Yan Ting Ma
Keyword(s):  
Partial Information ◽  
Inverse Spectral Problems ◽  
Spectral Problems ◽  
Sturm Liouville ◽  
Inverse Spectral ◽  
Liouville Operators

scholarly journals Half-inverse spectral problems for Sturm–Liouville operators with singular potentials

2004 ◽  
Vol 20 (5) ◽  
pp. 1423-1444 ◽  
Author(s):  
Rostyslav O Hryniv ◽  
Yaroslav V Mykytyuk
Keyword(s):  
Inverse Spectral Problems ◽  
Singular Potentials ◽  
Spectral Problems ◽  
Sturm Liouville ◽  
Inverse Spectral ◽  
Liouville Operators

scholarly journals Inverse spectral problems for Sturm–Liouville operators in impedance form

2005 ◽  
Vol 222 (1) ◽  
pp. 143-177 ◽  
Author(s):  
S. Albeverio ◽  
R. Hryniv ◽  
Ya. Mykytyuk
Keyword(s):  
Inverse Spectral Problems ◽  
Spectral Problems ◽  
Sturm Liouville ◽  
Inverse Spectral ◽  
Liouville Operators

Inverse spectral problems for Sturm–Liouville operators on graphs

2005 ◽  
Vol 21 (3) ◽  
pp. 1075-1086 ◽  
Author(s):  
V Yurko
Keyword(s):  
Inverse Spectral Problems ◽  
Spectral Problems ◽  
Sturm Liouville ◽  
Inverse Spectral ◽  
Liouville Operators

Inverse Spectral Problems for Sturm-Liouville Equations with Eigenparameter Dependent Boundary Conditions

2000 ◽  
Vol 62 (1) ◽  
pp. 161-182 ◽  
Author(s):  
P. A. Binding ◽  
P. J. Browne ◽  
B. A. Watson
Keyword(s):  
Boundary Conditions ◽  
Inverse Spectral Problems ◽  
Spectral Problems ◽  
Sturm Liouville ◽  
Inverse Spectral
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