Lyapunov-type Inequalities for Planar Linear Dynamic Hamiltonian Systems

Applicable Analysis and Discrete Mathematics

article

Martin Bohner¹  Agacik Zafer² 

[1] Missouri University of Science and Technology, Department of Mathematics and Statistics;Middle East Technical University, Department of Mathematics

关键词: Lyapunov inequality;    time scales exponential function;    Hamiltonian systems;    Dynamic equations;    Time scales;   

DOI  :  10.2298/AADM130211004B

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

We give new Lyapunov-type inequalities for linear Hamiltonian systems onarbitrary time scales, which improve recently published results and henceall the related ones in the literature. As an application, we obtain newdiconjugacy criteria for linear Hamiltonian systems.

【 授权许可】

Unknown