The spectral properties of distributions and asymptotic methods in perturbation theory

DOI10.1070/SM2012V203N03ABEH004224zbMath1250.34048OpenAlexW2070689162MaRDI QIDQ2901884

V. S. Belonosov

Publication date: 31 July 2012

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2012v203n03abeh004224

zbMATH Keywords

Fourier transformdistributionsspectrummethod of averaging

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (3)

Asymptotic analysis of the parametric instability of nonlinear hyperbolic equations ⋮ Stable perturbations of linear differential equations generating a uniformly bounded group ⋮ Instability of a nonlinear system of two oscillators under main and combination resonances

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