Back to Search
Start Over
A new approach in the theory of ordinary differential equations with small parameter
- Source :
- Dokl. Math. Sci., 67 (2003) 36-38
- Publication Year :
- 2007
-
Abstract
- A topological degree based averaging principle has been proposed by J. Mawhin in his PhD thesis [J. Mawhin, Le Probleme des Solutions Periodiques en Mecanique non Lineaire, These de doctorat en sciences, Universite de Liege, 1969]. In the present paper we extend this result for the case when the unperturbed system is nonlinear but possesses a set of T-periodic solutions whose initial conditions constitute a boundary of some open set.<br />Comment: Appeared in Russian in Doklady of Russian Academy of Sciences, 388 (2003), no. 4, 439-442
- Subjects :
- Mathematics - Classical Analysis and ODEs
54C40
14E20
46E25
20C20
Subjects
Details
- Language :
- Russian
- Database :
- arXiv
- Journal :
- Dokl. Math. Sci., 67 (2003) 36-38
- Publication Type :
- Report
- Accession number :
- edsarx.0710.0057
- Document Type :
- Working Paper