Reconstruction of the Volterra-type integro-differential operator from nodal points

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BOUNDARY VALUE PROBLEMS, 2018 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2018
  • Doi Number: 10.1186/s13661-018-0968-0
  • Title of Journal : BOUNDARY VALUE PROBLEMS


In this work, the Sturm-Liouville problem perturbated by a Volterra-type integro-differential operator is studied. We give a uniqueness theorem and an algorithm to reconstruct the potential of the problem from nodal points (zeros of eigenfunctions).