| 一个推广的二变量时滞积分不等式及其应用 |
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| 引用本文： | 王五生.一个推广的二变量时滞积分不等式及其应用[J].系统科学与数学,2010,30(3):425-432. |
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| 作者姓名： | 王五生 |
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| 作者单位： | 河池学院效学系,广西,546300 |
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| 基金项目： | 广西自然科学基金项目，广西新世纪教改工程"十一五"第三批资助项目，广西教育厅科学研究项目，河池学院应用数学重点学科，河池学院重点课题 |
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| 摘 要： | 建立了一类二变量的时滞积分不等式,不等式包含一个一重积分和两个二重积分,二重积分内包含两个不同的没有假设单调性的未知函数的复合函数.使用单调化技术,给出积分不等式中未知函数的估计.结果能对相关文献中考虑的积分不等式中未知函数进行估计.进一步,结果给出了一类积分-微分方程解的估计.
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| 关 键 词： | 二变量时滞积分不等式 二变量积分-微分方程 解的估计. |
| 收稿时间： | 2008-11-24 |
A GENERAL FORM OF RETARDED INTEGRAL INEQUALITY WITH TWO VARIABLES AND ITS APPLICATION |
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| WANG Wusheng.A GENERAL FORM OF RETARDED INTEGRAL INEQUALITY WITH TWO VARIABLES AND ITS APPLICATION[J].Journal of Systems Science and Mathematical Sciences,2010,30(3):425-432. |
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| Authors: | WANG Wusheng |
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| Institution: | Department of Mathematics, Hechi University, Guangxi 546300 |
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| Abstract: | This paper is concerned with a general form of retarded integral inequalitywith two variables, which includes both one one-fold integral and two two-fold integrals, the latter contain two different composite functions of unknown function without assumption of monotonicity. By using the monotonization technique, anestimate for the unknown function in the integral inequality is given. The result is used to estimate the solution of an integro-differential equation. |
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| Keywords: | Retarded integral inequality with two variables integro-differential equation with two variables estimation of solutions |
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