Abstract
We consider a class of asymptotically linear nonautonomous second-order Hamiltonian systems. Using the Saddle Point Theorem, we obtain the existence result, which extends some previously known results.
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Acknowledgements
The authors would like to express their deep gratitude to the referees for giving many valuable comments and suggestions. This work was supported by the National Natural Science Foundation of China (Grant Nos. 11371276, 10901118) and the Elite Scholar Program in Tianjin University, China.
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Chen, X., Guo, F. & Liu, P. Existence of periodic solutions for second-order Hamiltonian systems with asymptotically linear conditions. Front. Math. China 13, 1313–1323 (2018). https://doi.org/10.1007/s11464-018-0736-6
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DOI: https://doi.org/10.1007/s11464-018-0736-6