• Title of article

    On asymptotic distribution of negative eigen values of second order equation with operator coefficients on a semi-axis

  • Author/Authors

    Aslanov , Hamidulla I. Institute of Mathematics and Mechanics, Baku, Azerbaijan , Gadirli, Nigar A. Sumgait State Universit, Sumgait, Azerbaijan

  • Pages
    9
  • From page
    44
  • To page
    52
  • Abstract
    In the paper, spectral properties of a second order operator-differential equation on a semiaxis are studied. The discreteness conditions of the negative part of the spectrum is found and asymptotic formula for the number of negative eigen values of the operator less than the given number ε (ε > 0) is obtained.
  • Keywords
    operator-differential equation , spectrum , eigenvalue , eigenfunction , boundary conditions , Hilbert space
  • Journal title
    Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
  • Serial Year
    2017
  • Record number

    2611381