tailieunhanh - Báo cáo toán học: " Periodic solutions for a class of higher order difference equations"

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: Periodic solutions for a class of higher order difference equations | 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. Periodic solutions for a class of higher order difference equations Advances in Difference Equations 2011 2011 66 doi 1687-1847-2011-66 Huantao Zhu zhu-huan-tao@ Weibing Wang gfwwbing@ ISSN 1687-1847 Article type Research Submission date 16 September 2011 Acceptance date 23 December 2011 Publication date 23 December 2011 Article URL http content 2011 1 66 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 authors instructions For information about other SpringerOpen publications go to http 2011 Zhu and Wang 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. Periodic solutions for a class of higher-order difference equations Huantao Zhu1 and Weibing Wang 2 1 Hunan College of Information Changsha Hunan 410200 . China 2Department of Mathematics Hunan University of Science and Technology Xiangtan Hunan 411201 . China Corresponding author gfwwbing@ Email address HZ zhu-huan-tao@ Abstract In this article we discuss the existence of periodic solutions for the higher-order di erence equation x n k g x n f n x n T n . We show the existence of periodic solutions by using Schauder s fixed point theorem and illustrate three examples. MSC 2010 39A10 39A12. Keywords functional difference equation