tailieunhanh - Báo cáo hóa học: " Research Article Existence of Positive Solutions for Multipoint Boundary Value Problem with p-Laplacian 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: Research Article Existence of Positive Solutions for Multipoint Boundary Value Problem with p-Laplacian on Time Scales | Hindawi Publishing Corporation Advances in Difference Equations Volume 2009 Article ID 312058 18 pages doi 2009 312058 Research Article Existence of Positive Solutions for Multipoint Boundary Value Problem with p-Laplacian on Time Scales Meng Zhang 1 Shurong Sun 1 and Zhenlai Han1 2 1 School of Science University of Jinan Jinan Shandong 250022 China 2 School of Control Science and Engineering Shandong University Jinan Shandong 250061 China Correspondence should be addressed to Shurong Sun sshrong@ Received 11 March 2009 Accepted 8 May 2009 Recommended by Victoria Otero-Espinar We consider the existence of positive solutions for a class of second-order multi-point boundary value problem with p-Laplacian on time scales. By using the well-known Krasnosel ski s fixed-point theorem some new existence criteria for positive solutions of the boundary value problem are presented. As an application an example is given to illustrate the main results. Copyright 2009 Meng Zhang et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. Introduction The theory of time scales has become a new important mathematical branch since it was introduced by Hilger 1 Theoretically the time scales approach not only unifies calculus of differential and difference equations but also solves other problems that are a mix of stop start and continuous behavior. Practically the time scales calculus has a tremendous potential for application for example Thomas believes that time scales calculus is the best way to understand Thomas models populations of mosquitoes that carry West Nile virus 2 In addition Spedding have used this theory to model how students suffering from the eating disorder bulimia are influenced by their college friends with the theory on time scales they can model how the number of sufferers changes during