弱奇性Volterra积分不等式解的估计  

ESTIMATES ON SOLUTIONS OF SOME WEAKLY SINGULAR VOLTERRA INTEGRAL INEQUALITIES

作　　者：马庆华[1] 杨恩浩[2] 

机构地区：[1]惠州学院数学系,惠州516015 [2]暨南大学数学系,广州510632

出　　处：《应用数学学报》2002年第3期505-515,共11页Acta Mathematicae Applicatae Sinica

基　　金：广东省教育厅自然科学研究项目(0176)资助

摘　　要：Medved[1]对弱奇性Gronwall型和Henry型积分不等式解的估计提出一种新方法.本文将他的方法稍加改进用来研究更广的Volterra型弱奇性线性及非线性积分不等式解的估计,导出解的先验逐点界公式.并举例说明了结果的应用.Medved[1] proposed a new approach for estimation of solutions to Henry-type and Bihari-type integral integral inequalities with weakly singular kernels. In the present paper, a modified version of this approach is used to obtain pointwise explicit bounds on solutions to a class of more general weakly singular integral inequalities of Volterra-type. Some application examples are also indicated.

关 键 词：弱奇异积分不等式 解 界公式 积分微分方程 

分 类 号：O178[理学—数学]