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Multiplicity Of Periodic Solutions For Second Order Hamiltonian Systems With Mixed Nonlinearities

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Abstract

The multiplicity of periodic solutions for a class of second order Hamiltonian system with superquadratic plus subquadratic nonlinearity is studied in this paper. Obtained via the Symmetric Mountain Pass Lemma, two results about infinitely many periodic solutions of the systems extend some previously known results.

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Correspondence to Fei Guo.

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

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Wang, M., Guo, F. Multiplicity Of Periodic Solutions For Second Order Hamiltonian Systems With Mixed Nonlinearities. Acta Math Sci 41, 371–380 (2021). https://doi.org/10.1007/s10473-021-0203-4

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  • DOI: https://doi.org/10.1007/s10473-021-0203-4

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