摘要
讨论分布Henstock-Kurzweil积分的意义下的Gronwall不等式和Gronwall-Bellman不等式。给出分布Henstock-Kurzweil积分的定义及相关性质,证明含有分布Henstock-Kurzweil积分的Gronwall不等式成立,推广了已有的结果。
The Gronwall＇ s inequality and the Gronwall-Bellman＇ s inequality involving the distributional Henstock-Kurzweil integral are studied. The definition and some properties of the distributional Henstock-Kurzweil integral are presented. It is proven that the Gronwall＇ s inequalities involving the distributional Henstock-Kurzweil integral remain valid. The new results are the generalizations of the previous results.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2014年第6期757-760,共4页
Journal of Natural Science of Heilongjiang University
基金
中央高校基本科研业务费专项资金资助项目
