Existence of periodic solutions for second-order Hamiltonian systems with asymptotically linear conditions
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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.
KeywordsExistence periodic solution second-order Hamiltonian systems Saddle Point Theorem
MSC34C25 47E05 49J35 58E50
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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.