| 一类Fredholm型积分方程正解的存在性 |
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| 引用本文： | 张清明,王雷.一类Fredholm型积分方程正解的存在性[J].吉林大学学报(理学版),2009,47(3):481-486. |
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| 作者姓名： | 张清明 王雷 |
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| 作者单位： | 1. 吉林公安高等专科学校, 长春 130117; 2. 东北师范大学 数学与统计学院, 长春 130024;3. 长春税务学院 应用数学系, 长春 130117 |
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| 摘 要： | 利用锥上不动点指数定理研究Fredholm型积分方程
u(t)=∫10k(t,s)f(s,u(s))ds正解的存在性. 结果表明, 只要非线性项的增长速度是适当的, 则该问题就存在正解.
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| 关 键 词： | Fredholm型积分方程 正解 第一特征值 不动点指数 |
| 收稿时间： | 2008-07-15 |
Existence of Positive Solutions for a Class of Fredholm Integral Equations |
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| ZHANG Qing-ming,WANG Lei.Existence of Positive Solutions for a Class of Fredholm Integral Equations[J].Journal of Jilin University: Sci Ed,2009,47(3):481-486. |
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| Authors: | ZHANG Qing-ming WANG Lei |
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| Institution: | 1. Jilin Public Security Academy, Changchun 130117, China;2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;3. Department of Applied Mathematics, Changchun Taxation College, Changchun 130117, China |
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| Abstract: | The existence of the positive solutions of the following Fredholm integral equation u(t)=∫10k(t,s)f(s,u(s))ds was investigated by applying the fixed point
theorem in cones. The main results show that the problem has a positive solution at least provided growth rates of nonlinear term are appropriate. |
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| Keywords: | Fredholm integral equations positive solutions first eigenvalue fixed point index |
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