| 一类推广的非线性Volterra-Fredholm型积分不等式解的估计及其应用 |
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| 引用本文： | 王五生,周效良. 一类推广的非线性Volterra-Fredholm型积分不等式解的估计及其应用[J]. 上海师范大学学报(自然科学版), 2015, 44(3): 229-236 |
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| 作者姓名： | 王五生 周效良 |
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| 作者单位： | 1. 河池学院数学与统计学院,宜州,546300
2. 岭南师范学院数学与计算科学学院,湛江,524048 |
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| 基金项目： | This research was supported by the National Natural Science Foundation of China，the NSF of Guangxi Zhuang Autonomous Region，the NSF of Guangdong Province，the Science Innovation Project of Department of Education of Guangdong province，the NSFP of Zhanjiang Normal University，the Innovation and Developing School Project of Department of Education of Guangdong province |
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| 摘 要： | 研究了一类新的非线性时滞Volterra-Fredholm型积分不等式.该不等式把文献[Ma,QH,Pe(c)ari(c),J:Estimates on solutions of some new nonlinear retarded Volterra-Fredholm type integral inequalities.Nonlinear Anal.69 (2008) 393-407]中的函数σ1(s)推广成函数w(u(s))f(s),其中w(u(s))是未知函数与非线性函数的复合函数.利用变量替换、放大及常量与变量的辩证关系等方法给出了该不等式中未知函数的估计.最后,用所得结果给出了一类积分方程解的估计.
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| 关 键 词： | Volterra-Fredholm型积分不等式 迭代积分 分析技巧 估计 |
| 收稿时间： | 2014-06-02 |
Estimation on solutions of a class of generalized nonlinear Volterra-Fredholm type integral inequalities with applications |
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| WANG Wusheng and ZHOU Xiaoliang. Estimation on solutions of a class of generalized nonlinear Volterra-Fredholm type integral inequalities with applications[J]. Journal of Shanghai Normal University(Natural Sciences), 2015, 44(3): 229-236 |
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| Authors: | WANG Wusheng and ZHOU Xiaoliang |
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| Affiliation: | School of Mathematics and Statistics, Hechi University and Department of Mathematics, Lingnan Normal University |
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| Abstract: | |
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| Keywords: | Volterra-Fredholm type integral inequality iterated integrals analysis technique estimation |
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