Inverse nodal problems for Sturm-Liouville equation with nonlocal boundary conditions

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Özkan A. S., Adalar İ.

Journal of Mathematical Analysis and Applications, vol.520, no.1, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 520 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.1016/j.jmaa.2022.126904
  • Journal Name: Journal of Mathematical Analysis and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
  • Keywords: Inverse nodal problem, Nonlocal boundary condition, Sturm-Liouville operator
  • Sivas Cumhuriyet University Affiliated: Yes

Abstract

In this paper, a Sturm–Liouville problem with some nonlocal boundary conditions of the Bitsadze-Samarskii type is studied. We show that the coefficients of the problem can be uniquely determined by a dense set of nodal points. Moreover, we give an algorithm for the reconstruction of the potential function and some other coefficients in the boundary conditions.