Geodesic
On a study of the spectrum of a boundary value problem for the fifth-order differential operator with integrable potential
Matematičeskie zametki SVFU, Tome 23 (2016) no. 2, pp. 78-89 Cet article a éte moissonné depuis la source Math-Net.Ru

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A boundary value problem for the fifth-order differential operator with separated boundary conditions is considered. The potential of the operator is a summable function on the segment. For large values of the spectral parameter we obtain the asymptotic behavior of the corresponding differential equation. The equation on eigenvalues of the considered operator and the indicator diagram of this equation are studied. A new method for finding an asymptotics of eigenvalues of the studied operator is offered.
Keywords: boundary value problem, differential operator, separated boundary conditions, summable potential, asymptotics of the eigenvalues, eigenfunction. 
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S. I. Mitrokhin. On a study of the spectrum of a boundary value problem for the fifth-order differential operator with integrable potential. Matematičeskie zametki SVFU, Tome 23 (2016) no. 2, pp. 78-89. http://geodesic.mathdoc.fr/item/SVFU_2016_23_2_a5/

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