Splitting and the spectrum of a linear differential equation with quasiperiodic coefficients

DOI10.1007/BF01057394zbMath0723.34072OpenAlexW1974048754WikidataQ115394510 ScholiaQ115394510MaRDI QIDQ5895414

Victor I. Tkachenko

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01057394

zbMATH Keywords

Schrödinger equationexponential dichotomyspectral parameter

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Linear ordinary differential equations and systems (34A30) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

• An extension of a result by Dinaburg and Sinai on quasi-periodic potentials
• Zones of instability of the Schrödinger equation with a smooth quasiperiodic potential
• Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature
• Absolutely continuous spectra of quasiperiodic Schrödinger operators

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