Periodic solutions for a class of non-coercive Hamiltonian systems

被引：0

作者：

Boughariou, Morched ^{[1
]}

机构：

[1] Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年

关键词：

Hamiltonian systems; non-coercive; periodic solutions; minimax argument;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of non- constant T- periodic orbits of the Hamiltonian system q = H-p( t, p(t), q(t)) p = -H-q( t, p(t), q(t)), where H is a T-periodic function in t, non-convex and non-coercive in ( p, q), and has the form H(t, p, q) similar to |q|(alpha) (|p|(beta)-1) with alpha > beta > 1.

引用

页数：17

共 14 条

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