The Application of the Nehari Arguments to the Problems of the Existence about the Minimal Periodic Solutions of the Hamiltonian Systems
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Abstract:
Using the Nehari argument about the constrained extreme values and the theorem that the functional defined on complete Finsler manifold and satisfying the Palais-Smale condition and having lower bound has a minimal value point,we study the existence of the minimal periodic solutions for nonconvex quadratic and superquadratic second order Hamiltonian systems.