一类非连续函数积分不等式中未知函数的估计及其应用

数学物理学报 ›› 2010, Vol. 30 ›› Issue (4): 1176-1182.

• 论文 • 上一篇

一类非连续函数积分不等式中未知函数的估计及其应用

罗日才^{1, 2}, 王五生¹, 许弘雷^{2, 3}

1.河池学院数学系广西宜州 546300; 2.贵州大学理学院贵阳 |550025; 3.澳大利亚科廷科技大学数学与统计系澳大利亚

收稿日期:2009-06-07 修回日期:2010-07-29 出版日期:2010-07-25 发布日期:2010-07-25
基金资助:
国家自然科学基金(60704003)、广西自然科学基金(200991265)、广西教育厅科学研究项目(桂教科研[2007]34号文件)《差分不等式研究》
(200707MS112)和贵州省科学技术基金([2008]2252)资助

Estimation of Unknown Function of |a Class of Integral Inequalities for Discontinuous Function and its Application

LUO Ri-Cai^{1, 2}, WANG Wu-Sheng¹, XU Hong-Lei^{2, 3}

1.Department of Mathematics, Hechi University, Guangxi, Yizhou |546300;
2.College of Science, Guizhou University, Guiyang |550025;
3.Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA, Australia

Received:2009-06-07 Revised:2010-07-29 Online:2010-07-25 Published:2010-07-25
Supported by:
国家自然科学基金(60704003)、广西自然科学基金(200991265)、广西教育厅科学研究项目(桂教科研[2007]34号文件)《差分不等式研究》
(200707MS112)和贵州省科学技术基金([2008]2252)资助

摘要/Abstract

摘要：

该文使用分析技巧和数学归纳法给出了一类非连续函数积分不等式中未知函数的估计. 该文用所得结果研究文献[8]中的非连续函数不等式.最后,该文把所得结果用于研究脉冲积分-微分方程解的估计.

关键词: 非连续函数积分不等式, 分析技巧, 数学归纳法, 未知函数估计

Abstract:

In this paper we give the estimations of unknown functions of a class of integral inequalities for discontinuous functions by techniques of analysis and mathematical induction. Using our result we can solve the integral inequality for discontinuous function in[8]. We apply our result to a class of integral-differential equations with impulse perturbation for estimation.

Key words: Integral inequality for discontinuous function, Techniques , of , analysis, Mathematical induction, Estimation of unknown function

中图分类号:

34B15

罗日才, 王五生, 许弘雷. 一类非连续函数积分不等式中未知函数的估计及其应用[J]. 数学物理学报, 2010, 30(4): 1176-1182.

LUO Ri-Cai, WANG Wu-Sheng, XU Hong-Lei. Estimation of Unknown Function of |a Class of Integral Inequalities for Discontinuous Function and its Application[J]. Acta mathematica scientia,Series A, 2010, 30(4): 1176-1182.

参考文献

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[16] 王五生. 一个推广的具有双重和离散不等式及其应用. 四川大学学报(自然科学版), 2007, 44(4): 733--738

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一类非连续函数积分不等式中未知函数的估计及其应用

Estimation of Unknown Function of |a Class of Integral Inequalities for Discontinuous Function and its Application

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