The Asymptotics of the Eigenvalues of a Fourth Order Differential Operator with Summable Coefficients / S.I. Mitrokhin // Vestn. Mosk. Univ., Matem. Mekhan. 2009. № 3. P. 14-17 [Moscow Univ. Math. Bulletin. Vol. 64, No 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.