New existence and multiplicity theorems of periodic solutions for non-autonomous second order Hamiltonian systems
نویسندگان
چکیده
In the present paper, the non-autonomous second order Hamiltonian systems { ü(t) = ∇F(t, u(t)), a.e. t ∈ [0, T ] u(0)− u(T ) = u̇(0)− u̇(T ) = 0, (1) are studied and a new existence theorem and a new multiplicity theorem of periodic solutions are obtained. c © 2007 Elsevier Ltd. All rights reserved.
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عنوان ژورنال:
- Mathematical and Computer Modelling
دوره 46 شماره
صفحات -
تاریخ انتشار 2007