ON EXISTENCE OF POSITIVE PERIODIC-SOLUTIONS

Authors
WOJCIK K
Citation
K. Wojcik, ON EXISTENCE OF POSITIVE PERIODIC-SOLUTIONS, Monatshefte fuer Mathematik, 125(4), 1998, pp. 343-350
Citations number
16
Categorie Soggetti
Mathematics,Mathematics
Journal title
Monatshefte fuer Mathematik → ACNP
ISSN journal
00269255
Volume
125
Issue
4
Year of publication
1998
Pages
343 - 350
Database
ISI
SICI code
0026-9255(1998)125:4<343:OEOPP>2.0.ZU;2-O
Abstract
We present the geometric method for detecting periodic solutions of ti me periodic nonautonomous differential equations in interior of convex subset of euclidean space. The method is based on the Lefschetz fixed point theorem and the topological principle of Wazewski. Two applicat ions to the existence of positive periodic solutions are considered.