Lyapunov inequalities for time scales
Lyapunov inequalities for time scales
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DOI：
10.1155/s102558340200005x
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发表时间：
2002
影响因子：
1.6
通讯作者：
M. Bohner;S. Clark;J. Ridenhour
中科院分区：
文献类型：
--
作者：
M. Bohner;S. Clark;J. Ridenhour
为了统一离散和连续分析，引入了时标理论。我们提出了一个李雅普诺夫不等式的二阶Sturm-Liouville动力学方程的时间尺度，它可以用来获得这些方程的不共轭准则。我们还将所提出的材料的情况下，一般的线性哈密顿动力系统的时间尺度。一些特殊情况下，我们的结果包含经典的微分方程的李雅普诺夫不等式，以及最近发展的差分方程的李雅普诺夫不等式。
The theory of time scales has been introduced in order to unify discrete and continuous analysis. We present a Lyapunov inequality for Sturm-Liouville dynamic equations of second order on such time scales, which can be applied to obtain a disconjugacy criterion for these equations. We also extend the presented material to the case of a general linear Hamiltonian dynamic system on time scales. Some special cases of our results contain the classical Lyapunov inequalities for differential equations as well as only recently developed Lyapunov inequalities for difference equations.