文献类型：期刊文献

英文题名：A generalized Gronwall-Bellman-Ou-Iang type inequality for discontinuous functions and applications to BVP

作者：Wang, Wu-Sheng[2];Zhou, Xiaoliang[1]

机构：[1]Guangdong Ocean Univ, Dept Math, Zhanjiang 524088, Peoples R China;[2]Hechi Univ, Dept Math, Yizhou 546300, Guangxi, Peoples R China

年份：2010

卷号：216

期号：11

起止页码：3335

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：SCI-EXPANDED(收录号：WOS:000278543500023)、、EI(收录号：20120514731699)、Scopus(收录号：2-s2.0-80052944340)、WOS

基金：This work is supported by the Natural Science Foundation of Guangxi Autonomous Region (0991265), the Scientific Research Foundation of the Education Department of Guangxi Autonomous Region (200707MS112), the Key Discipline of Applied Mathematics of Hechi University of China (200725) and the Doctoral Program Research Foundation of Guangdong Ocean University (0912175).

语种：英文

外文关键词：Gronwall-Bellman-Ou-Iang type inequality; Discontinuous functions; Impulsive differential equations; Boundary value problem

外文摘要：In this paper we investigate a generalized Gronwall-Bellman-Ou-Iang type inequality for piecewise continuous functions. By studying the unknown function in different continuous regions Omega(kj) of Omega, we give the complete estimate for the unknown function. We apply our result to a boundary value problem of a partial impulsive differential equation for estimation of its solution. (C) 2010 Elsevier Inc. All rights reserved.