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Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí sinh học đề tài : Stability criteria for linear Hamiltonian dynamic systems on time scales | Advances in Difference Equations SpringerOpen0 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text HTML versions will be made available soon. Stability criteria for linear Hamiltonian dynamic systems on time scales Advances in Difference Equations 2011 2011 63 doi 10.1186 1687-1847-2011-63 Xiaofei He hexiaofei525@sina.com Xianhua Tang tangxh@mail.csu.edu.cn Qi-Ming Zhang zhqm20082008@sina.com ISSN 1687-1847 Article type Research Submission date 5 August 2011 Acceptance date 20 December 2011 Publication date 20 December 2011 Article URL http www.advancesindifferenceequations.com content 2011 1 63 This peer-reviewed article was published immediately upon acceptance. It can be downloaded printed and distributed freely for any purposes see copyright notice below . For information about publishing your research in Advances in Difference Equations go to http www.advancesindifferenceequations.com authors instructions For information about other SpringerOpen publications go to http www.springeropen.com 2011 He etal. licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License http creativecommons.org licenses by 2.0 which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Stability criteria for linear Hamiltonian dynamic systems on time scales Xiaofei He1 2 Xianhua Tang 1 and Qi-Ming Zhang1 1 School of Mathematical Sciences and Computing Technology Central South University Changsha 410083 Hunan P.R. China 2College of Mathematics and Computer Science Jishou University Jishou 416000 Hunan P.R.China Corresponding author tangxh@mail.csu.edu.cn Email address XH hexiaofei525@sina.com Q-MZ zhqm20082008@sina.com Abstract In this article we establish some stability criteria for the polar linear Hamiltonian dynamic system on time scales x4 t a t z ơ t q t y t y4 t - t x u t -a t y t t 2 T by using .