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


ERGÜN A. , AMİROV R.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası:
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1002/num.22666
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

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.