Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí sinh học đề tài : Homoclinic solutions of some second-order non-periodic discrete systems | 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. Homoclinic solutions of some second-order non-periodic discrete systems Advances in Difference Equations 2011 2011 64 doi 1687-1847-2011-64 Yuhua Long longyuhua214@ ISSN 1687-1847 Article type Research Submission date 15 July 2011 Acceptance date 20 December 2011 Publication date 20 December 2011 Article URL http content 2011 1 64 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 Long 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. Homoclinic solutions of some second-order non-periodic discrete systems Yuhua Long College of Mathematics and Information Sciences Guangzhou University Guangzhou 510006 P. R. China Email address longyuhua214@ Abstract In this article we discuss how to use a standard minimizing argument in critical point theory to study the existence of non-trivial homoclinic solutions of the following second-order non-autonomous discrete systems A2xra_1 AAxn L n xn v n xn 0 n 2 Z without any periodicity assumptions. Adopting some reasonable assumptions for A and L we establish that two new criterions for guaranteeing above systems have one non-trivial homoclinic solution. Besides 1 that in some particular .
