Inverse problems for the impulsive Sturm-Liouville operator with jump conditions
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Date
2019
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Taylor&Francis LTD
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Abstract
The inverse problem for impulsive Sturm-Liouville operators with discontinuity conditions is considered. We have shown that all parameters used in the boundary conditions as well as can be uniquely established by a set of values of eigenfunctions at the mid-point and one spectrum. Moreover, we discuss Gesztesy-Simon theorem and show that if the potential function is prescribed on the interval for some , then parts of a finite number of spectra suffice to determine on .
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Keywords
Inverse Problem, Impulsive Sturm-Liouville Operator, Discontinuity
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Citation
Khalili, Yasser; Kadkhoda, Nematollah; Baleanu, Dumitru, "Inverse problems for the impulsive Sturm-Liouville operator with jump conditions", Inverse Problems in Science and Engineering, Vol. 27, No. 10, pp. 1442-1450, (2019).
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Source
Inverse Problems in Science and Engineering
Volume
27
Issue
10
Start Page
1442
End Page
1450