Bihari积分不等式的推广(英文)  

The Generlization of Bihari's Inequality

作　　者：李旭东[1] 

机构地区：[1]四川工业学院计算机科学与工程系,四川成都610039

出　　处：《四川工业学院学报》2002年第3期79-81,共3页Journal of Sichuan University of Science and Technology

摘　　要：Bihari不等式在微分方程中有十分重要的作用。本文作者把Bihari不等式推广到含n个非线性项的积分不等式 ,并且用归纳法加以证明。所得结论包括了M .Pinto和SungKyuChoi等的结论。最后考虑了更一般的情形。Bihari's inequality is one of the most important tools in Differential Equation.In this paper ,The generalization of Bihari's inequality which has n nonlinear terms by using inductive method is studied.The obtained results include those of M.Pinto and Sung Kyu Choi etc.. Finally,we consider some more general conditions.

关 键 词：积分不等式 GRONWALL-BELLMAN不等式 BIHARI不等式 微分方程 归纳法 

分 类 号：O175[理学—数学] O178[理学—基础数学]