S-integral and Gronwall's Inequality

作     者：王才士 WANG Cai-shi

作者机构：西北师范大学数学与信息科学学院甘肃兰州730070 

出 版 物：《Journal of Mathematical Research and Exposition》 (数学研究与评论（英文版）)

年 卷 期：2005年第25卷第3期

页      面：407-413页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：the National Natural Science Foundation of China (10171035)the Natural Science Foundation of Gansu Province (ZS021-A25-004-Z) 

主　　题：S-integral Gronwall-BeUman's inequality. 

摘      要：The S-integral is a generalized integral of Riemann type which is defined in terms of the Thomson＇s local systems. In this note we prove Gronwall-BeUman＇s inequality for the S-integral. As special cases we also obtain Gronwall-Bellman＇s inequalities for the Henstock integral and the BurkiU approximately continuous integral.