| 抽象空间非线性积分方程解的存在与唯一性 |
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| 引用本文： | 周智,娄永年.抽象空间非线性积分方程解的存在与唯一性[J].山东大学学报(工学版),1991(3). |
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| 作者姓名： | 周智 娄永年 |
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| 作者单位： | 山东建材学院，山东工业大学基础课教学部 |
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| 摘 要： | 利用迭代列和非紧性测度,研究抽象空间核函数不一致连续时的非线性Volterra积分方程解的存在性和唯一性问题。
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| 关 键 词： | 非线性积分方程 伏特拉积分方程 方程解 存在性 唯一性 核函数 一致连续 弱紧 |
EXISTENCE AND UNIQUENESS OF SOLUTION OF NONLINEAR INTEGRAL EQUATION IN ABSTRACT SPACE |
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| Zhou Zhi et al.EXISTENCE AND UNIQUENESS OF SOLUTION OF NONLINEAR INTEGRAL EQUATION IN ABSTRACT SPACE[J].Journal of Shandong University of Technology,1991(3). |
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| Authors: | Zhou Zhi |
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| Affiliation: | Shandong Inst. of Building Mater. |
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| Abstract: | By iterative sequence and noncompact measure,investigates existence and uniqueness of solution of nolinear Volterra integral equation that kernel function is no uniformly continuous. Proposes and proves three related theorems. The results presented in some previous references may be obtained by the theorems. |
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| Keywords: | Non-linear integral equation Volterra integral equation Solve of equation Existence Uniqueness Kernel function Uniformly continuous Weakly compact |
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