Ambarzumyan-type theorems on a time scale

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ÖZKAN A. S.

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, vol.26, no.5, pp.633-637, 2018 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 5
  • Publication Date: 2018
  • Doi Number: 10.1515/jiip-2017-0124
  • Journal Name: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.633-637
  • Keywords: Ambarzumyan theorem, time scale, Sturm-Liouville equation, inverse problem, dynamic equations, BOUNDARY-VALUE-PROBLEMS, DYNAMIC EQUATIONS, L-2 SPACES
  • Sivas Cumhuriyet University Affiliated: Yes

Abstract

In this paper, we give Ambarzumyan-type theorems for a Sturm-Liouville dynamic equation with Robin boundary conditions on a time scale. Under certain conditions, we prove that the potential can be specified from only the first eigenvalue.