| 二阶Neumann边值问题的正解 |
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| 引用本文： | 梁盛泉. 二阶Neumann边值问题的正解[J]. 甘肃农业大学学报, 2007, 42(3): 122-125 |
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| 作者姓名： | 梁盛泉 |
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| 作者单位： | 甘肃畜牧工程职业技术学院,甘肃,武威,733006 |
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| 摘 要： | 利用锥上的不动点指数理论研究了二阶Neumann边值问题-u″(t)+a(t)u(t)=f(t,u(t)),t∈[0,1];u′(0)=u′(1)=0正解的存在性和多重性.其中a(t):[0,1]→(0,+∞)连续;f(t,u):[0,1]×[0,+∞)→[0,+∞)连续.
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| 关 键 词： | Neumann边值问题 正解 不动点指数 |
| 文章编号： | 1003-4315（2007）03-0122-04 |
| 修稿时间： | 2007-04-09 |
Positive solutions of second order Neumann boundary value problems |
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| LIANG Sheng-quan. Positive solutions of second order Neumann boundary value problems[J]. Journal of Gansu Agricultural University, 2007, 42(3): 122-125 |
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| Authors: | LIANG Sheng-quan |
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| Abstract: | In this paper,by using the fixed point index theory of cone map,the existence and multiplicity of positive solutions to second order Neumann boundary value problem-u″(t)+a(t)u(t)=f(t,u(t)),t∈;u′(0)=u′(1)=0 is discussed.Where a(t):→(0,+∞) is continuous and f(t,u):×[0,+∞)→[0,+∞) is continuous. |
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| Keywords: | Neumann boundary value problem positive solution fixed point index |
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