Geodesic
Spectral estimates for fourth-order differential operator with periodic coefficients
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2022), pp. 86-92

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We consider a self-adjoint fourth-order operator on the unit interval with real 1-periodic coefficients and Neumann–Dirichlet type boundary conditions. We determine eigenvalue asymptotics at high energy.
Keywords: spectrum, fourth-order differential operator, eigenvalue asymptotics, fundamental matrix. 
@article{IVM_2022_7_a8,
     author = {D. M. Polyakov},
     title = {Spectral estimates for fourth-order differential operator with periodic coefficients},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {86--92},
     publisher = {mathdoc},
     number = {7},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_7_a8/}
}
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D. M. Polyakov. Spectral estimates for fourth-order differential operator with periodic coefficients. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2022), pp. 86-92. http://geodesic.mathdoc.fr/item/IVM_2022_7_a8/