Spectral properties of the Sturm-Liouville operator with delay / S. I. Mitrokhin. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. № 4. P. 38-42 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

Spectral properties of a differential operator of Sturm-Liouville type are studied in the case of retarding argument with different boundary conditions. The asymptotics of solutions to the correspoding differential equation is studied in the case of summable potential. An asymptotics of eigenvalues and an asymptotics of eigenfunctions of the differential operator is calculated in each considered case.

Key words: spectral parameter, eigenvalues, differential operator, retarding argument, boundary conditions, summable potential, weight function, eigenfunctions, Sturm-Liouville boundary-value problem, asymptotics of eigenvalues.

№ 4/2013