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Inverse problems for the impulsive Sturm-Liouville operator with jump conditions

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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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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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Inverse Problems in Science and Engineering

Volume

27

Issue

10

Start Page

1442

End Page

1450