Multiple Solutions of Perturbed Superquadratic Second Order Hamiltonian Systems.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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In this paper, the author proves the existence of infinitely many distinct T-periodic solutions of the perturbed second order Hamiltonian systems q Vq ft under the condition that V is C and superquadratic via minimax methods. We also obtain similar results for general nonautonomous second order Hamiltonian systems and perturbed Lagrangian systems. Keywords invariance Asymmetry A priori growth estimates multiple periodic solutions.
- Theoretical Mathematics