Periodic solutions for a class of new superquadratic second order Hamiltonian systems |
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Institution: | School of Mathematics and Statistics, Southwest University, Chongqing 400715, People’s Republic of China |
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Abstract: | A new superquadratic growth condition is introduced, which is an extension of the well-known superquadratic growth condition due to P.H. Rabinowitz and the nonquadratic growth condition due to Gui-Hua Fei. An existence theorem is obtained for periodic solutions of a class of new superquadratic second order Hamiltonian systems by the minimax methods in critical point theory, specially, a local linking theorem. |
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Keywords: | Second order Hamiltonian systems Periodic solutions Superquadratic The local link |
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