HALF INVERSE PROBLEMS FOR THE IMPULSE QUADRATIC PENCIL WITH THE DISCONTINUOUTY COEFICIENT

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Ergün A., Amirov R.

ICMRS2020-3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES: CURRENT TRENDS AND DEVELOPMENTS, Antalya, Türkiye, 20 - 22 Kasım 2020, ss.73-74

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: Antalya
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.73-74
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper, we consider the inverse spectral problem for the impulsive Sturm-Liouville differential pencils on [0,p ] with the Robin boundary conditions and the jump conditions at the point 2 p . We prove that two potentials functious on the whole interval and the parameters in the boundary and jump conditions can be determined from a set of eigenvalues for two cases: (i) The potentials is given on 0, 1( ) 4 p a æ ö ç ÷ + è ø. (ii) The potentials is given on (1 ,) 4 p a p æ ö ç ÷ + è ø, where 0 1 < < a , respectively.