| Banach空间混合型微分-积分方程解的存在唯一性及应用 |
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| 引用本文： | 孙国玲.Banach空间混合型微分-积分方程解的存在唯一性及应用[J].商丘师范学院学报,2007,23(6):15-20. |
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| 作者姓名： | 孙国玲 |
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| 作者单位： | 曲阜师范大学,数学科学学院,山东,曲阜,273165 |
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| 基金项目： | 国家自然科学基金;山东省自然科学基金 |
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| 摘 要： | 在不要求f连续的前提下,利用较为宽松的条件研究了Banach空间中非线性混合型微分—积分方程初值问题解的存在唯一性以及解的迭代逼近,改进和推广了最近的一些结果,并有新的应用.
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| 关 键 词： | 混合型微分-积分方程 单调迭代 强可测 |
| 文章编号： | 1672-3600（2007）06-0015-06 |
| 收稿时间： | 2006-05-23 |
| 修稿时间： | 2006-05-23 |
Existence and uniqueness and applications of solution for nonlinear integro-differential equations in Banach spaces |
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| SUN Guo-ling.Existence and uniqueness and applications of solution for nonlinear integro-differential equations in Banach spaces[J].Journal of Shangqiu Teachers College,2007,23(6):15-20. |
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| Authors: | SUN Guo-ling |
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| Institution: | Department of Mathematics, Qufu Normal University, Qufu 273165, China |
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| Abstract: | In this paper,the initial value problem of the nonlinear integro-differential equations in Banach spaces is investigated under the condition weaker than the continuity of f.The existence and uniqueness and iterative approximation of solution for the initial value problem is abtained.The results presented here not only improve and extend many results,but also apply to other aspects. |
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| Keywords: | nonlinear integro-differential equations iterative approximation strongly measurable |
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