Gronwall-Bellman不等式的推广及其应用  

Generalization and Application of Gronwall-Bellman Inequality

作　　者：罗显康[1] 

机构地区：[1]宜宾学院数学学院,四川宜宾644000

出　　处：《宜宾学院学报》2010年第6期8-9,共2页Journal of Yibin University

基　　金：宜宾学院青年基金资助项目(2008QJ24)

摘　　要：利用经典的Gronwall-Bellman不等式建立了函数矩阵的Gronwall-Bellman不等式,并由此证明了一阶微分方程和一阶线性微分方程组初值问题解的唯一性.By applying the classical Gronwall-Bellman inequality,a Gronwall-Bellman inequality of functional matrix was established to prove the uniqueness of solutions to the initial value problems of first-order differential equation and first-order differential equation set.

关 键 词：GRONWALL-BELLMAN不等式 唯一性 函数矩阵 

分 类 号：O175.1[理学—数学]