On inequalities of Lyapunov for linear Hamiltonian systems on time scales
On inequalities of Lyapunov for linear Hamiltonian systems on time scales
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DOI：
10.1016/j.jmaa.2011.03.036
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发表时间：
2011-09-15
影响因子：
1.3
通讯作者：
Tang, Xianhua
中科院分区：
文献类型：
--
作者：
He, Xiaofei;Zhang, Qi-ming;Tang, Xianhua
本文对任意时标T上的线性Hamilton系统建立了几个新的李雅普诺夫型不等式，其中端点不一定是通常的零点，而是广义零点，推广和改进了已有的相关不等式，包括连续和离散情形. (C)2011 Elsevier Inc. All rights reserved.
In this paper, we establish several new Lyapunov type inequalities for linear Hamiltonian systems on an arbitrary time scale T when the end-points are not necessarily usual zeroes, but rather, generalized zeroes, which generalize and improve all related existing ones including the continuous and discrete cases. (C) 2011 Elsevier Inc. All rights reserved.