Open Access Research Article

Positive Solutions of th-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions

Meiqiang Feng1*, Xuemei Zhang2 and Xiaozhong Yang2

Author Affiliations

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

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Boundary Value Problems 2011, 2011:456426 doi:10.1155/2011/456426

Published: 10 June 2010

Abstract

This paper is devoted to study the existence, nonexistence, and multiplicity of positive solutions for the th-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.