Unboundedness of solutions of a class of planar Hamiltonian systems

被引：1
|
作者：
Yang, Xiaojing [1 ]
Lo, Kueiming
机构：
[1] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China
[2] Tsinghua Univ, Sch Software, Beijing 100084, Peoples R China
来源：
MATHEMATISCHE NACHRICHTEN | 2007年 / 280卷 / 11期
关键词：
planar hamiltonian systems; unboundedness of solutions; resonance;
D O I：
10.1002/mana.200410557
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the unboundedness of solutions for the following planar Hamilton system Ju ' = del H(u) + h(t) is discussed, where the function H(u) epsilon C-2 (R-2, R) is positive for u = 0 and is positively (q, p)-quasi-homogeneous of quasi-degree pq, where p > 1 and 1/p + 1/q =1, h : S-1 - R-2 with h epsilon L-infinity (0, 2 pi) is 2 pi-periodic and J is the standard symplectic matrix. (c) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
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页码：1317 / 1331
页数：15
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