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, Turkey, 20 - 22 November 2020, pp.73-74

  • Publication Type: Conference Paper / Summary Text
  • City: Antalya
  • Country: Turkey
  • Page Numbers: pp.73-74

Abstract

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.