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Variational Approach to Quasi‐Periodic Solution of Nonautonomous Second‐Order Hamiltonian Systems

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  • Juhong Kuang

Abstract

We deal with the quasi‐periodic solutions of the following second‐order Hamiltonian systems x¨(t) = ∇F(t, x(t)), where x(t) = (x1(t), …, xN(t)), and we present a new approach via variational methods and Minmax method to obtain the existence of quasi‐periodic solutions to the above equation.

Suggested Citation

  • Juhong Kuang, 2012. "Variational Approach to Quasi‐Periodic Solution of Nonautonomous Second‐Order Hamiltonian Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:271616
    DOI: 10.1155/2012/271616
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    References listed on IDEAS

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    1. M. Ayachi & J. Blot, 2008. "Variational Methods for Almost Periodic Solutions of a Class of Neutral Delay Equations," Abstract and Applied Analysis, Hindawi, vol. 2008, pages 1-13, February.
    2. M. Ayachi & J. Blot, 2008. "Variational Methods for Almost Periodic Solutions of a Class of Neutral Delay Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2008(1).
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    Cited by:

    1. Mehmet Ali Akinlar & Muhammet Kurulay & Aydin Secer & Mustafa Bayram, 2012. "Efficient Variational Approaches for Deformable Registration of Images," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

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