| 带有强迫项的泛函方程解的性质 |
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| 引用本文： | 杨玉华. 带有强迫项的泛函方程解的性质[J]. 吉林大学学报(理学版), 2003, 41(1): 33-35 |
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| 作者姓名： | 杨玉华 |
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| 作者单位： | 华北电力大学计算科学与信息系,保定,071003 |
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| 摘 要： | 利用Arzela-Ascoli定理证明一类泛函方程存在单调递增解的充分必要条件; 利用Schander不动点定理讨论泛函方程解的存在性、 延拓性和单调性, 改进和加强了已有的结果.
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| 关 键 词： | 泛函方程 强迫项 连续解 延拓 单调性 |
| 文章编号： | 1671-5489(2003)01-0033-03 |
| 收稿时间： | 2002-05-09 |
| 修稿时间： | 2002-05-09 |
On the Continuous Solutions for a Class of Functional Equations with Forced Item |
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| YANG Yu-hua. On the Continuous Solutions for a Class of Functional Equations with Forced Item[J]. Journal of Jilin University: Sci Ed, 2003, 41(1): 33-35 |
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| Authors: | YANG Yu-hua |
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| Affiliation: | Department of Computing Science and Information, North China Electric Power University, Baoding 071003, China |
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| Abstract: | The sufficient and necessary condition for the existence of monotone increasing solutions of a class functional equation are discussed by using Arzela-Ascoli theorem. The existence of continuous solutions and continuation of solutions are studied by using Schauder fixed pointed theorem and some sufficient conditions are obtained. |
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| Keywords: | functional equation forced item continuous solution continuation monotone increasing |
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