文献类型：期刊文献

英文题名：Some new retarded nonlinear integral inequalities and their applications in differential-integral equations

作者：Wang, Wu-Sheng[2];Zhou, Xiaoliang[1];Guo, Zhonghai[3]

机构：[1]Guangdong Ocean Univ, Dept Math, Zhanjiang 524088, Peoples R China;[2]Hechi Univ, Dept Math, Yizhou 546300, Guangxi, Peoples R China;[3]Xinzhou Teachers Univ, Dept Math, Xinzhou 034000, Shanxi, Peoples R China

年份：2012

卷号：218

期号：21

起止页码：10726

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：SCI-EXPANDED(收录号：WOS:000304903000036)、、EI(收录号：20122315101941)、Scopus(收录号：2-s2.0-84861814746)、WOS

基金：This research was supported by National Natural Science Foundation of China (11161018), Scientific Research Foundation of the Education Department of Guangxi Province of China (201106LX599), the Key Discipline of Applied Mathematics of Hechi University of China (200725), the NSF of Guangdong Province (10452408801004217).

语种：英文

外文关键词：Gronwall-Bellman-Pachpatte inequality; Inequality technique; Retarded differential-integral equation; Estimation

外文摘要：In this paper, we discuss some new retarded nonlinear Gronwall-Bellman-Pachpatte integral inequalities and give upper bound estimation of the unknown function by integral inequality technique. Our results generalize those of Abdeldaim and Yakout [A. Abdeldaim, M. Yakout, On some new integral inequalities of Gronwall-Bellman-Pachpatte type, Appl. Math. Comput. 217 (2011) 7887-7899] to some inequalities with both retarded argument and nonlinear integrand. An application to estimate the solutions of differential-integral equations is also given. (C) 2012 Elsevier Inc. All rights reserved.