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Existence of homoclinic solutions for a class of second-order non-autonomous Hamiltonian systems

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Mathematica Slovaca

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Abstract

By using the variant version of Mountain Pass Theorem, the existence of homoclinic solutions for a class of second-order Hamiltonian systems is obtained. The result obtained generalizes and improves some known works.

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Authors and Affiliations

  1. School of Mathematical Sciences and Computing Technology, Central South University, Changsha Hunan, 410083, PR China

    Qiongfen Zhang & X. H. Tang

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  1. Qiongfen Zhang
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  2. X. H. Tang
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Corresponding author

Correspondence to Qiongfen Zhang.

Additional information

Communicated by Michal Fečkan

This work was supported by National Natural Science Foundation of China Grant No. 10771215.

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Zhang, Q., Tang, X.H. Existence of homoclinic solutions for a class of second-order non-autonomous Hamiltonian systems. Math. Slovaca 62, 909–920 (2012). https://doi.org/10.2478/s12175-012-0054-5

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  • DOI: https://doi.org/10.2478/s12175-012-0054-5

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