| 一个非连续增算子不动点定理及其应用 |
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| 引用本文： | 张金清,孙经先.一个非连续增算子不动点定理及其应用[J].应用数学学报,2001,24(1):34-43. |
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| 作者姓名： | 张金清 孙经先 |
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| 作者单位： | 1. 复旦大学金融系,上海,200433 ；山东财政学院基础部,济南,250014
2. 山东大学数学系,济南,250100 |
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| 基金项目： | 国家自然科学基金与国家教委博士点基金资助项目. |
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| 摘 要： | 本文在无限区间上给出了一个新的非连续增算子不动点定理。作为应用，我们研究了无限区间上Banach空间中非线性积－微分方程初值问题解的存在性。
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| 关 键 词： | 不动点 积分微分方程 解 存在性 非连续增算子 初值问题 |
A FIXED POINT THEOREM FOR DISCONTINUOUS INCREASING OPERATORS AND ITS APPLICATION |
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| ZHANG JINQING.A FIXED POINT THEOREM FOR DISCONTINUOUS INCREASING OPERATORS AND ITS APPLICATION[J].Acta Mathematicae Applicatae Sinica,2001,24(1):34-43. |
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| Authors: | ZHANG JINQING |
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| Abstract: | In this paper, we obtain a new fixed point theorem for increasing operators in infinite intervals. As an application, we consider the existence of solutions of the initial value problem for nonlinear integro-differential equations with discontinuous terms on infinite intervals in Banach spaces. |
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| Keywords: | Increasing operators fixed points integro-differential equations |
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