Geodesic
On spectral properties of fourth order differential operator with periodic and semiperiodic boundary conditions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2015), pp. 75-79.

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With the use of similar operator method, in this paper we study spectral properties of fourth order differential operator with periodic and semiperiodic boundary conditions. We obtain asymptotic of a spectrum and estimates of spectral decompositions. We also construct a semigroup of operators which has the opposite differential operator as a generator.
Keywords: fourth order differential operator, method of similar operators, spectrum. 
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     title = {On spectral properties of fourth order differential operator with periodic and semiperiodic boundary conditions},
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D. M. Polyakov. On spectral properties of fourth order differential operator with periodic and semiperiodic boundary conditions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2015), pp. 75-79. http://geodesic.mathdoc.fr/item/IVM_2015_5_a8/

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