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.

引用

页码：1317 / 1331

页数：15

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