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Multiplicity of Periodic Solutions for Second Order Hamiltonian Systems with Asymptotically Quadratic Conditions

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Abstract

A class of second order non-autonomous Hamiltonian systems with asymptotically quadratic conditions is considered in this paper. Using Fountain Theorem, one multiplicity result of periodic solutions is obtained, which improves some previous results.

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Acknowledgements

We thank the referees for their time and comments.

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Authors and Affiliations

  1. School of Mathematics, Tianjin University, Tianjin, 300354, P. R. China

    Peng Liu & Fei Guo

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  1. Peng Liu
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  2. Fei Guo
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Correspondence to Fei Guo.

Additional information

Supported by National Natural Science Foundation of China (Grant Nos. 11371276, 10901118) and Elite Scholar Program in Tianjin University, P. R. China

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Liu, P., Guo, F. Multiplicity of Periodic Solutions for Second Order Hamiltonian Systems with Asymptotically Quadratic Conditions. Acta. Math. Sin.-English Ser. 36, 55–65 (2020). https://doi.org/10.1007/s10114-019-9141-7

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  • DOI: https://doi.org/10.1007/s10114-019-9141-7

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