Krylov-Bogolyubov substitution in the perturbation theory of linear operators

DOI10.1007/BF01086768zbMath0602.47007MaRDI QIDQ1081818

Anatoly G. Baskakov

Publication date: 1984

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

zbMATH Keywords

celestial mechanicssimilar operatorsequation with a small parameterKrylov-Bogolyubov transformationspectral properties of perturbed operatorsvibration theory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Perturbation theory of linear operators (47A55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations in context of PDEs (35B20)

Related Items (7)

Summation methods for Fourier series yielding best order of approximation ⋮ Method of similar operators in the study of spectral properties of perturbed first-order differential operators ⋮ Linear differential operator with an involution as a generator of an operator group ⋮ Spectral analysis of a differential operator with an involution ⋮ On an abstract analog of the Krylov-Bogolyubov transformation in the theory of perturbations of linear operators ⋮ Spectral properties of an operator polynomial with coefficients in a Banach algebra ⋮ Spectral properties of first-order differential operators with an involution and groups of operators

Cites Work

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