Spectral asymptotics for the third order operator with periodic coefficients

DOI10.1016/j.jde.2012.08.015zbMath1273.47074arXiv1112.4973OpenAlexW2963155328MaRDI QIDQ713340

Andrey Badanin, Evgeny L. Korotyaev

Publication date: 26 October 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4973

zbMATH Keywords

spectral asymptoticsthird order operator with periodic coefficients

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (9)

Dependence of solutions and eigenvalues of third order linear measure differential equations on measures ⋮ A third order operator with periodic coefficients on the real line ⋮ Classification of self-adjoint domains of odd-order differential operators with matrix theory ⋮ Ambarzumyan theorem for third order ordinary differential equations with discontinuity conditions inside a finite interval ⋮ Regular approximation of singular third-order differential operators ⋮ Hill's operators with the potentials analytically dependent on energy ⋮ On the asymptotics of eigenvalues of a third-order differential operator ⋮ Third-order operators with three-point conditions associated with Boussinesq's equation ⋮ Resonances of third order differential operators

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