Discreteness of the spectrum of a periodic boundary-value problem related to the radiation of periodic waveguides

DOI10.1007/BF00973880zbMath0489.34064MaRDI QIDQ1166701

V. I. Derguzov

Publication date: 1980

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/198282

zbMATH Keywords

Hilbert spacespectrumroot subspacesvalue problemperiodic boundary

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Linear differential equations in abstract spaces (34G10)

Related Items (5)

Quasiconformal mappings and periodic spectral problems in dimension two ⋮ Cauchy problems for a certain class of operator differential equations with nonsmooth periodic coefficients ⋮ Mathematical investigation of periodic acoustical waveguides of an arbitrary shape ⋮ Spectral approach to homogenization of an elliptic operator periodic in some directions ⋮ Absence of bound states for waveguides in two-dimensional periodic structures

Cites Work

• On the discreteness of the spectrum of non-self-adjoint periodic boundary-value problems
• Operator Hamiltonian equations and anticanonical equations with periodic coefficients
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