| 弱奇性Volterra积分不等式解的估计 |
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| 引用本文： | 马庆华,杨恩浩. 弱奇性Volterra积分不等式解的估计[J]. 应用数学学报, 2002, 25(3): 505-515 |
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| 作者姓名： | 马庆华 杨恩浩 |
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| 作者单位： | 1. 惠州学院数学系,惠州,516015
2. 暨南大学数学系,广州,510632 |
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| 基金项目： | 广东省教育厅自然科学研究项目（0176）资助 |
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| 摘 要： | Medved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型弱奇性线笥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。
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| 关 键 词： | 弱奇异积分不等式 解 界公式 积分微分方程 |
ESTIMATES ON SOLUTIONS OF SOME WEAKLY SINGULAR VOLTERRA INTEGRAL INEQUALITIES |
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| MA QINGHUA. ESTIMATES ON SOLUTIONS OF SOME WEAKLY SINGULAR VOLTERRA INTEGRAL INEQUALITIES[J]. Acta Mathematicae Applicatae Sinica, 2002, 25(3): 505-515 |
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| Authors: | MA QINGHUA |
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| Abstract: | 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. |
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| Keywords: | Weakly singular integral inequality bound on solutions integro-differential equation |
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