Krylov–Bogolyubov averaging
- 作者: Jian W.1, Kuksin S.B.2,1,3, Wu Y.1
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隶属关系:
- School of Mathematical Science, Fudan University
- Université Paris VII — Denis Diderot, UFR de Mathématiques
- Saint Petersburg State University
- 期: 卷 75, 编号 3 (2020)
- 页面: 37-54
- 栏目: Articles
- URL: https://journals.rcsi.science/0042-1316/article/view/133618
- DOI: https://doi.org/10.4213/rm9933
- ID: 133618
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详细
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.
作者简介
Wenwen Jian
School of Mathematical Science, Fudan University
Email: wwjian16@fudan.edu.cn
Sergei 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
参考
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