Existence of Periodic Solutions of Linear Hamiltonian Systems with Sublinear Perturbation
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چکیده
the existence of periodic solutions is related to the coercive conditions of F t, u on u. This fact is first noticed by Berger and Schechter 1 who use the coercive condition F t, u → −∞ as |u| → ∞, uniformly for a.e. t ∈ 0, T . Subsequently, Mawhin andWillem 2 consider it by using more general coercive conditions of an integral form. More precisely, they assume that F t, u : 0, T × R → R is bounded |∇F t, u | ≤ g t for some g t ∈ L1 0, T with some additional technical conditions and satisfies one of the following Ahmad-Lazer-Paul type 3 coercive conditions:
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تاریخ انتشار 2010