Half inverse problem for diffusion operators with jump conditions dependent on the spectral parameter

ERGÜN A., AMİROV R.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.38, sa.3, ss.577-590, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1002/num.22666
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.577-590
  • Anahtar Kelimeler: differential equations, diffusion operator, inverse problems, STURM-LIOUVILLE OPERATORS
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper, half inverse problem for diffusion operators with jump conditions dependent on the spectral parameter is considered. The half inverse problems is studied of determining the coefficient and potential functions of the value problem from its spectrum by using the Yang-Zettl and Hocstadt-Lieberman methods. We show that if the functions p(x) and q(x) are prescribed over the semi-interval, then potential functions are determined uniquely by one spectrum on the over interval.