International Journal of Nonlinear Analysis and Applications

Half inverse problems for the singular Sturm-Liouville operator

Document Type : Research Paper

Authors

Sivas Cumhuriyet University, Faculty of Science, Department of Mathematics, 58140, Turkey

Abstract

In this paper, we consider the inverse spectral problem for the impulsive Sturm-Liouville differential pencils on [0,π] with the Robin boundary conditions and the jump conditions at the point π2. We prove that two potentials functions on the whole interval and the parameters in the boundary and jump conditions can be determined from a set of eigenvalues for two cases: (i) The potentials are given on (0,π4(α+β)). (ii) The potentials is given on (π4(α+β),π2(α+β)), where 0<α<β<1 and α+β>1, respectively.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 3161-3171
  • Receive Date: 31 May 2022
  • Revise Date: 15 June 2022
  • Accept Date: 24 July 2022