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

Authors

    • Departamento de Matemática AplicadaUniversidad de Granada
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 34C25Secondary 93D20

Keywords.

Periodic solutionasymptotic stabilitymaximum principleupper and lower solutions

Copyright information

© Birkhäuser Verlag, Basel 2004