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báo cáo hóa học:" Existence of Positive Solutions for Nonlinear m-point Boundary Value Problems on Time Scales"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Existence of Positive Solutions for Nonlinear m-point Boundary Value Problems on Time Scales | Boundary Value Problems 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. Existence of Positive Solutions for Nonlinear m-point Boundary Value Problems on Time Scales Boundary Value Problems 2012 2012 4 doi 10.1186 1687-2770-2012-4 Junfang Zhao zhao_junfang@163.com Hairong Lian lianhr@126.com Weigao Ge gew@bit.edu.cn ISSN 1687-2770 Article type Research Submission date 4 May 2011 Acceptance date 17 January 2012 Publication date 17 January 2012 Article URL http www.boundaryvalueproblems.com content 2012 1M 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 Boundary Value Problems go to http www.boundaryvalueproblems.com authors instructions For information about other SpringerOpen publications go to http www.springeropen.com 2012 Zhao 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. Existence of positive solutions for nonlinear m-point boundary value problems on time scales Junfang Zhao 1 Hairong Lian1 and Weigao Ge2 1School of Mathematics and Physics China University of Geosciences Beijing 100083 P.R. China 2Department of Mathematics Beijing Institute of Technology Beijing 100081 P.R. China Corresponding author zhao_junfang@163.com Abstract In this article we study the following m-point boundary value problem on time scales p UA t V h t f t u t 0 t 2 0 T t m 2 u 0 - ốuA 0 X Â A â uA T 0 i 1 where T is a time scale such that 0 T 2 T J i 0 i 1 . m 2 p s s p-2s p 1 h 2 Cid 0 T 0 1 and f 2 C 0 1 0 1 0 1 2 Ệm-2 T 2 T. By using several well-known fixed