An inverse problem for Sturm-Liouville operators on the half-line having Bessel-type singularity in an interior point
Keyword(s):
AbstractWe study the inverse problem of recovering Sturm-Liouville operators on the half-line with a Bessel-type singularity inside the interval from the given Weyl function. The corresponding uniqueness theorem is proved, a constructive procedure for the solution of the inverse problem is provided, also necessary and sufficient conditions for the solvability of the inverse problem are obtained.
2011 ◽
Vol 42
(3)
◽
pp. 247-258
◽
2019 ◽
Vol 27
(3)
◽
pp. 439-443
2018 ◽
Vol 64
(3)
◽
pp. 427-458
◽
2013 ◽
Vol 13
(3)
◽
pp. 59-64
2018 ◽
Vol 50
(1)
◽
pp. 71-102
◽
2006 ◽
Vol 49
(2)
◽
pp. 309-329
◽
2019 ◽
Vol 50
(3)
◽
pp. 207-221
◽
2014 ◽
Vol 48
(4)
◽
pp. 314-314
2012 ◽
Vol 46
(1)
◽
pp. 53-57
◽