Geodesic
The asymptotics of the eigenvalues of a fourth order differential operator with summable coefficients
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2009), pp. 14-17

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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. 
@article{VMUMM_2009_3_a2,
     author = {S. I. Mitrokhin},
     title = {The asymptotics of the eigenvalues of a fourth order differential operator with summable coefficients},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {14--17},
     publisher = {mathdoc},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2009_3_a2/}
}
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S. I. Mitrokhin. The asymptotics of the eigenvalues of a fourth order differential operator with summable coefficients. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2009), pp. 14-17. http://geodesic.mathdoc.fr/item/VMUMM_2009_3_a2/