Asymptotics of eigenvalues of a forth order differential operator with summable coefficients / S. I. Mitrokhin. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. № 3. P. [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. 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.