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
Full Text URL
Record number
2611381
Link To Document