The asymptotics of the eigenvalues of a fourth order differential operator with summable coefficients / S. I. Mitrokhin. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ? 3. P. 14-17 [Moscow Univ. Math. Bulletin. Vol. 64, N 3, 2009. P. 102-104].

A fourth order differential operator with summable coefficients and some boundary conditions is considered. Asymptotics of solutions to a fourth order differential equation is studied. The equation for eigenvalues is also studied and an asymptotics of the eigenvalues of the considered boundary value problem is obtained.

Key words: differential operator, summable coefficients, asymptotics of solutions, asymptotics of eigenvalues, method of successive iterations.