| Banach空间Volterra型非线性积分方程解的存在性 |
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| 引用本文： | 范进军. Banach空间Volterra型非线性积分方程解的存在性[J]. 山东师范大学学报(自然科学版), 1991, 6(3): 17-19,24 |
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| 作者姓名： | 范进军 |
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| 作者单位： | 山东师大计算中心 |
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| 摘 要： | 本文在Barsach空间E中考虑Volterra型非线性积分方程局部解的存在性,通过构造适当的紧子集Ω(?)E和非空、闭的有界凸集(?)为某一区间),应用Schauder不动点定理,证明了文[1]定理5.5.1中条件(A_2)是多余的。
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| 关 键 词： | 积分方程 非线性 解 Banach空间 |
EXISTENCE OF SOLUTION OF NONLINEAR INTEGRAL EQUATIONS OF VOLTERRA TYPE IN A BANACH SPACE |
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| Fan jinjun Computing Cnter. EXISTENCE OF SOLUTION OF NONLINEAR INTEGRAL EQUATIONS OF VOLTERRA TYPE IN A BANACH SPACE[J]. Journal of Shandong Normal University(Natural Science), 1991, 6(3): 17-19,24 |
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| Authors: | Fan jinjun Computing Cnter |
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| Affiliation: | Fan jinjun Computing Cnter |
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| Abstract: | In this paper,we consider the local existence of solutions of nonlinear integral equations of Volterra type in a Banach space E.By constructing a properly compact subset(?)and nonempty closed and bounded convex set(?)(J_0being an interval),we prove that the condition(A2)in theorem 5.5.1 of [1] can be cancelled by using the fixed point principle of schauder. |
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| Keywords: | Banach space integral equation noncompact measure |
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