Pachpatte几个非线性二元积分不等式的推广  

Generalizations of Pachpatte's Two-Variable Nonlinear Integral Inequalities

作　　者：马庆华[1] 杨恩浩[2] 

机构地区：[1]惠州大学数学系,广东惠州516015 [2]暨南大学数学系,广东广州510632

出　　处：《数学学报（中文版）》2000年第5期813-820,共8页Acta Mathematica Sinica：Chinese Series

基　　金：广东省自然科学基金!(940651)

摘　　要：本文建立了几个ｎ元非线性积分不等式解的估计．在ｎ＝２的特殊情况改进并推广了 Ｐａｃｈｐａｔｔｅ Ｂ． Ｇ．［５，９，１０］的五个定理．举例说明了结果的应用．In this paper, some priori bounds on continuous solutions to several n-variable nonlinear integral inequalities are established. They generalise five known theorems given by Pchpatte B. G.[5,9,10] for two-variable integral inequalities. An application example is also indicated.

关 键 词：积分不等式 非线性 先验上界 n变元 Pachpatte 解 估计 

分 类 号：O178[理学—数学]