Ambarzumyan-type theorems on a time scale

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ÖZKAN A. S.

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, cilt.26, sa.5, ss.633-637, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 5
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1515/jiip-2017-0124
  • Dergi Adı: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.633-637
  • Anahtar Kelimeler: Ambarzumyan theorem, time scale, Sturm-Liouville equation, inverse problem, dynamic equations, BOUNDARY-VALUE-PROBLEMS, DYNAMIC EQUATIONS, L-2 SPACES
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

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.