On the asymptotics of eigenvalues of a third-order differential operator

I. N. Braeutigam ; D. M. Polyakov

Algebra i analiz, Tome 31 (2019) no. 4, pp. 16-47.

Résumé

We consider a third-order nonselfadjoint differential operator with square summable coefficients whose domain is defined by quasiperiodic boundary conditions. For this operator, using the method of similar operators, we obtain an asymptotic behavior of eigenvalues, estimates of the deviations of spectral projections, and the equiconvergence of spectral decompositions.

Détail

Keywords: third-order differential operator, spectrum, asymptotic behavior of eigenvalues, equiconvergence of spectral decompositions.

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