Oscillation of linear Hamiltonian systems

被引：28
|
作者：
Meng, FW [1 ]
Mingarelli, AB
机构：
[1] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China
[2] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 131卷 / 03期
关键词：
oscillation; Hamiltonian systems; monotone functionals;
D O I：
10.1090/S0002-9939-02-06614-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish new oscillation criteria for linear Hamiltonian systems using monotone functionals on a suitable matrix space. In doing so we develop new criteria for oscillation involving general monotone functionals instead of the usual largest eigenvalue. Our results are new even in the particular case of self- adjoint second order differential systems.
引用
收藏
页码：897 / 904
页数：8
相关论文
共 50 条
12345