tailieunhanh - Báo cáo sinh học: " Research Article Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions"

Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học Journal of Biology đề tài: Research Article Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions | Hindawi Publishing Corporation Boundary Value Problems Volume 2011 Article ID 456426 19 pages doi 2011 456426 Research Article Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions Meiqiang Feng 1 Xuemei Zhang 2 and Xiaozhong Yang2 1 School of Science Beijing Information Science Technology University Beijing 100192 China 2 Department of Mathematics and Physics North China Electric Power University Beijing 102206 China Correspondence should be addressed to Meiqiang Feng meiqiangfeng@ Received 25 March 2010 Accepted 9 May 2010 Academic Editor Feliz Manuel Minhos Copyright 2011 Meiqiang Feng 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. This paper is devoted to study the existence nonexistence and multiplicity of positive solutions for the nth-order nonlocal boundary value problem with impulse effects. The arguments are based upon fixed point theorems in a cone. An example is worked out to demonstrate the main results. 1. Introduction The theory of impulsive differential equations describes processes which experience a sudden change of their state at certain moments. Processes with such a character arise naturally and often especially in phenomena studied in physics chemical technology population dynamics biotechnology and economics. For an introduction of the basic theory of impulsive differential equations see Lakshmikantham et al. 1 for an overview of existing results and of recent research areas of impulsive differential equations see Benchohra et al. 2 . The theory of impulsive differential equations has become an important area of investigation in the recent years and is much richer than the corresponding theory of differential equations see for instance 3-14 and their references. At the same time a class of boundary value .

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