The spectral properties of distributions and asymptotic methods in perturbation theory
Journal Article
·
· Sbornik. Mathematics
- S.L. Sobolev Institute for Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk (Russian Federation)
For differential equations of the form x'={epsilon}f(t,x;{epsilon}) in a Banach space a modification of the classical Krylov-Bogolyubov method is put forward. It allows complications in the construction of higher-order approximations which stem from the 'small denominators problem' to be avoided and many of the standard constraints on the behaviour of the function f to be eliminated. The approach suggested is based on some results on the Fourier transforms of distributions. Bibliography: 17 titles.
- OSTI ID:
- 21612774
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 3 Vol. 203; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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