Spectral Properties of the Family of Even Order Differential Operators with a Summable Potential / S. I. Mitrokhin. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2017. № 4. P. 3-15 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 137-148].

A boundary value problem for a higher order differential operator with separated boundary conditions is considered. The asymptotics of solutions of the corresponding differential equation for large values of the spectral parameter is studied. The indicator diagram of the equation for the eigenvalues is studied. The asymptotic behavior of eigenvalues and the formula for calculation of eigenfunctions of the studied operator is obtained in different sectors of the indicator diagram .

Key words: differential operator, eigenvalues, boundary conditions, spectral parameter, indicator diagram.

№ 4/2017