Mediterranean Journal of Mathematics

, Volume 1, Issue 4, pp 479–486

Existence and Stability of Periodic Solutions of a Duffing Equation by Using a New Maximum Principle

Original Paper

DOI: 10.1007/s00009-004-0025-3

Cite this article as:
Torres, P.J. MedJM (2004) 1: 479. doi:10.1007/s00009-004-0025-3

Abstract.

The purpose of this paper is to obtain new criteria for existence and asymptotic stability of periodic solutions of a Duffing equation x′′ + cx′ + g(t, x) = 0, taking advantage of a new maximum principle with Lp-conditions combined with known relations between upper and lower solutions, topological degree and stability.

Mathematics Subject Classification (2000).

Primary 34C25 Secondary 93D20 

Keywords.

Periodic solution asymptotic stability maximum principle upper and lower solutions 

Copyright information

© Birkhäuser Verlag, Basel 2004

Authors and Affiliations

  1. 1.Departamento de Matemática AplicadaUniversidad de GranadaGranadaSpain

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