Half Inverse Problem for the Impulsive Diffusion Operator with Discontinuous Coefficient

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ÇAKMAK Y., IŞIK S.

FILOMAT, cilt.30, sa.1, ss.157-168, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1601157c
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.157-168
  • Anahtar Kelimeler: impulsive diffusion operator, inverse spectral problem, half inverse problem, STURM-LIOUVILLE OPERATORS, SPECTRAL PROBLEM
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

The half inverse problem is to construct coefficients of the operator in a whole interval by using one spectrum and potential known in a semi interval. In this paper, by using the Hocstadt-Lieberman and Yang-Zettl's methods we show that if p(x) and q(x) are known on the interval (pi/2; pi), then only one spectrum suffices to determine p (x); q( x) functions and beta, h coefficients on the interval (0; pi) for impulsive diffusion operator with discontinuous coefficient.