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On the periodic orbits of the fourth-order differential equation u ''''+qu ''-u = epsilon F (u, u ', u '', u ''')

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Author(s):
Llibre, Jaume ; Teixeira, Marco Antonio
Total Authors: 2
Document type: Journal article
Source: Journal of Mathematical Analysis and Applications; v. 387, n. 1, p. 8-pg., 2012-03-01.
Abstract

We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation u '''' + qu '' - u = epsilon F (u, u', u '', u ''') , where q and e are real parameters, E is small and F is a nonlinear function. (C) 2011 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 07/06896-5 - Geometry of control, dynamical and stochastic systems
Grantee:Luiz Antonio Barrera San Martin
Support Opportunities: Research Projects - Thematic Grants