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
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
