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On the Hochstadt-Lieberman theorem for discontinuous boundary-valued problems

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Abstract

In this paper, we discuss the half inverse problem for Sturm-Liouville equations with boundary conditions dependent on the spectral parameter and a finite number of discontinuities inside the interval and prove the Hochstadt-Liberman type theorem for the above boundary-valued problem.

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Authors and Affiliations

  1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037, P. R. China

    Yu Ping Wang

  2. Department of Mathematics, Firat University, 23119, Elazig, Turkey

    Hikmet Koyunbakan

Authors
  1. Yu Ping Wang
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  2. Hikmet Koyunbakan
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Correspondence to Yu Ping Wang.

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Wang, Y.P., Koyunbakan, H. On the Hochstadt-Lieberman theorem for discontinuous boundary-valued problems. Acta. Math. Sin.-English Ser. 30, 985–992 (2014). https://doi.org/10.1007/s10114-014-3221-5

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  • DOI: https://doi.org/10.1007/s10114-014-3221-5

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