Krylov–Bogolyubov averaging
- Authors: Jian W.1, Kuksin S.B.2,1,3, Wu Y.1
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Affiliations:
- School of Mathematical Science, Fudan University
- Université Paris VII — Denis Diderot, UFR de Mathématiques
- Saint Petersburg State University
- Issue: Vol 75, No 3 (2020)
- Pages: 37-54
- Section: Articles
- URL: https://journals.rcsi.science/0042-1316/article/view/133618
- DOI: https://doi.org/10.4213/rm9933
- ID: 133618
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Abstract
A modified approach to the classical Krylov–Bogolyubov averaging method is presented. It was developed recently for studying partial differential equations, enables one to treat Lipschitz perturbations of linear systems with purely imaginary spectrum, and may be generalized to the case of systems of PDEs with small non-linearities.Bibliography: 10 titles.
About the authors
Wenwen Jian
School of Mathematical Science, Fudan University
Email: wwjian16@fudan.edu.cn
Sergei Borisovich Kuksin
Université Paris VII — Denis Diderot, UFR de Mathématiques; School of Mathematical Science, Fudan University; Saint Petersburg State UniversityDoctor of physico-mathematical sciences, Professor
Yuan Wu
School of Mathematical Science, Fudan University
Email: 14110840003@fudan.edu.cn
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