| 局部凸空间中一类非线性Volterra型积分方程解的存在性 |
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| 引用本文： | 史红波,朱江. 局部凸空间中一类非线性Volterra型积分方程解的存在性[J]. 应用泛函分析学报, 2006, 8(1): 43-50 |
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| 作者姓名： | 史红波 朱江 |
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| 作者单位： | 1. 淮阴师范学院数学系,江苏,淮安,223001
2. 徐州师范大学数学系,江苏,徐州,221116 |
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| 摘 要： | 首先利用局部凸空间非紧性测度得到一个新的不动点定理;并运用此定理研究了局部凸空间非线性V o lterra型积分方程解的存在性,然后应用到弱拓扑结构下对非线性V o lterra型积分方程解的存在性的讨论.推广了原有文献的结果.
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| 关 键 词： | 局部凸空间 非紧性测度 Volterra型积分方程 不动点 |
| 文章编号： | 1009-1327（2006）01-0043-08 |
| 收稿时间： | 2003-09-14 |
| 修稿时间： | 2003-09-14 |
Existence of Solutions to Nonlinear Volterra Integral Equations in Locally Convex Spaces |
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| SHI Hong-bo,ZHU Jiang. Existence of Solutions to Nonlinear Volterra Integral Equations in Locally Convex Spaces[J]. Acta Analysis Functionalis Applicata, 2006, 8(1): 43-50 |
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| Authors: | SHI Hong-bo ZHU Jiang |
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| Abstract: | In this paper,first we get a fixed point theroem via the measure of noncompactness in locally convex spaces.Secondly,we apply the above theorem to study the existence of solutions for Volterra integral equations.In particular,we use these results to get the existence of solutions to these equations relative to the weak topology and generalize the results obtained by others. |
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| Keywords: | locally convex spaces measure of noncompactness volterra integral equations fixed points |
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