Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: Lyapunov-type inequalities for a class of even-order differential equations | Journal of Inequalities and Applications 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. Lyapunov-type inequalities for a class of even-order differential equations Journal of Inequalities and Applications 2012 2012 5 doi 1029-242X-2012-5 Qi-Ming Zhang zhqm20082008@ Xiaofei He hexiaofei525@ ISSN 1029-242X Article type Research Submission date 19 October 2011 Acceptance date 12 January 2012 Publication date 12 January 2012 Article URL http content 2012 1 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 Journal of Inequalities and Applications go to http authors instructions For information about other SpringerOpen publications go to http 2012 Zhang and He licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License http licenses by which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Lyapunov-type inequalities for a class of even-order differential equations Qi-Ming Zhang 1 and Xiaofei He2 1 College of Science Hunan University of Technology Zhuzhou Hunan 412000 . China 2College of Mathematics and Computer Science Jishou University Jishou 416000 Hunan . China Corresponding author zhqm20082008@ Email address XH hexiaofei525@ Abstract We establish several sharper Lyapunov-type inequalities for the following even-order di erential equation x 2n t -1 n-1q t x t 0. These results improve some existing ones. Keywords even-order differential equation Lyapunov-type inequality. 2000 .
