Half-inverse Sturm-Liouville problem with boundary and discontinuity conditions dependent on the spectral parameter

Ozkan A. S.

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, cilt.22, sa.5, ss.848-859, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 5
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1080/17415977.2013.832241
  • Dergi Adı: INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.848-859
  • Anahtar Kelimeler: half inverse problem, parameter-dependent boundary condition, Herglotz-Nevanlinna function, discontinuity condition, EIGENVALUE PROBLEMS, EIGENPARAMETER, OPERATOR, EQUATIONS
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this article, an impulsive Sturm-Liouville boundary value problem with the eigenvalue parameter rationally contained in one-boundary condition and linearly contained in the jump conditions is considered. It is proven that, if q(x) is prescribed on (1/2,1), a single spectrum, excluding a finite number of eigenvalues, is sufficient to determine q(x) on the interval (0, 1) and the other coefficients of the problem.