Existence of Periodic Solutions of Linear Hamiltonian Systems with Sublinear Perturbation
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We investigate the existence of periodic solutions of linear Hamiltonian systems with a nonlinear perturbation. Under generalized Ahmad-Lazer-Paul type coercive conditions for the nonlinearity on the kernel of the linear part, existence of periodic solutions is obtained by saddle point theorems. A note on a result of Rabinowitz is also given.
KeywordsDifferential Equation Partial Differential Equation Ordinary Differential Equation Periodic Solution Functional Equation
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