, Volume 1, Issue 4, pp 479-486

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

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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 L p -conditions combined with known relations between upper and lower solutions, topological degree and stability.

Partially supported by D.G.I. BFM2002-01308, Ministerio Ciencia y Tecnología, Spain.