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

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Mediterranean Journal of Mathematics Aims and scope Submit manuscript

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.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, Universidad de Granada, 18071, Granada, Spain

    Pedro J. Torres

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  1. Pedro J. Torres
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Correspondence to Pedro J. Torres.

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

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Torres, P.J. Existence and Stability of Periodic Solutions of a Duffing Equation by Using a New Maximum Principle. MedJM 1, 479–486 (2004). https://doi.org/10.1007/s00009-004-0025-3

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  • DOI: https://doi.org/10.1007/s00009-004-0025-3

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