Reconstruction of the Sturm-liouville Operators with Transmission and Parameter Dependent Boundary Conditions

Volume 13, Issue 2, pp 142-156 http://dx.doi.org/10.22436/jmcs.013.02.06

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Authors

Mostafa Fallahi - Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box 55181-83111, Maragheh, Iran. Fereshte Sharaghi - Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box 55181-83111, Maragheh, Iran. Mohammad Shahriari - Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box 55181-83111, Maragheh, Iran.

Abstract

Inverse problems of recovering the coefficients of discontinuous Sturm-Liouville problems with the eigenvalue parameter linearly contained in one of the boundary conditions are studied: 1) From Weyl m- function. 2) From spectral data.

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Keywords

• Inverse Sturm-Liouville problem
• Weyl m-Function
• discontinuous and parameter dependent boundary conditions.

MSC

•  34B24
•  34L40
•  47E05

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