| Banach空间含间断项的微分-积分方程终值问题的解 |
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| 引用本文： | 刘笑颖.Banach空间含间断项的微分-积分方程终值问题的解[J].数学杂志,2004,24(3):327-333. |
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| 作者姓名： | 刘笑颖 |
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| 作者单位： | 徐州师范大学数学系,江苏,徐州,221009 |
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| 基金项目： | 江苏省教育厅自然科学基金资助项目 (0 2KJB110 0 0 5 ) |
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| 摘 要： | 本文通过建立一个比较结果．应用不动点定理讨论了Banach空间含间断项的一阶混合型微分一积分方程终直问题的最大解和最小解的存在性．推广改进了某些文献中的相应结果．
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| 关 键 词： | 不连续终直问题 微分——积分方程 上、下解 |
| 文章编号： | 0255-7797(2004)03-0327-07 |
SOLUTIONS OF TERMINAL VALUE PROBLEMS FOR INTEGRO-DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS TERMS IN BANACH SPACE |
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| LIU Xiao-ying.SOLUTIONS OF TERMINAL VALUE PROBLEMS FOR INTEGRO-DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS TERMS IN BANACH SPACE[J].Journal of Mathematics,2004,24(3):327-333. |
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| Authors: | LIU Xiao-ying |
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| Abstract: | In this paper, the terminal value problems for integro-differential equations of mixed type with discontinuous terms in Banach space are investigated. By establishing a comparison result and using the fixed point theorem, we obtain the existence of maximal and minimal solutions, which improve and generalize those in some well-known papers. |
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| Keywords: | discontinuous terminal value problem integro|differential equation upper and lower solution |
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