| Banach空间积分—微分方程初值问题的解集 |
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| 引用本文： | 庄万. Banach空间积分—微分方程初值问题的解集[J]. 山东师范大学学报(自然科学版), 1990, 5(1): 1-4 |
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| 作者姓名： | 庄万 |
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| 作者单位： | 山东师大数学系 |
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| 摘 要： | 文[1]给出了 Banach 空间积分—微分方程初值问题解的存在性定理和解的存在、唯一性定理.本文在[1]的工作基础上,探讨了积分—微分方程初值问题解集的结构,证明了在一定条件下解集是一闭联集.
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| 关 键 词： | Banach空间 积分微分方程 闭联集 |
THE SET OF SOLUTIONS FOR THE INITIAL VALUE PROBLEM OF INTEGRO-DIFFERENTIAL EQUATION IN BANACH SPACE |
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| Zhuang Wan. THE SET OF SOLUTIONS FOR THE INITIAL VALUE PROBLEM OF INTEGRO-DIFFERENTIAL EQUATION IN BANACH SPACE[J]. Journal of Shandong Normal University(Natural Science), 1990, 5(1): 1-4 |
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| Authors: | Zhuang Wan |
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| Affiliation: | Department of Mathematics |
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| Abstract: | We have given an existence theorem and an existence and uniqueness theorem for the initial value problem of nonlinear integro-differential equation in Banach space in.In this paper,based upon that work, we further show that the set of solutions for the foregoing problem is continuum under some assumptions. |
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| Keywords: | Banach space integro-differential equation noncompact measure continuum |
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