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.
出处
《应用数学学报》
CSCD
北大核心
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
关键词
弱奇异积分不等式
解
界公式
积分微分方程
Weakly singular integral inequality, bound on solutions, integro-differential equation
