| 一类二阶两点边值问题N个正解的存在性 |
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| 引用本文： | 张玲忠.一类二阶两点边值问题N个正解的存在性[J].甘肃农业大学学报,2012,47(5):153-155,160. |
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| 作者姓名： | 张玲忠 |
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| 作者单位： | 江苏省锡山职业教育中心校,江苏无锡,214101 |
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| 基金项目： | 甘肃省自然科学基金(ZS031-A25-003-Z);西北师大科技创新工程(212) |
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| 摘 要： | 运用单调迭代方法,研究二阶两点边值问题-u″(t)+αu(t)=f(t,u(t)),t∈(0,1)u(0)=u(1){=0多个正解的存在性.结果给出了此类问题N个对称正解存在性的充分条件,且得到了可将其精确解逼近到误差任意小的近似解迭代公式,其中N是任意自然数.
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| 关 键 词： | 二阶边值问题 单调迭代方法 正解 迭代公式 |
Existence of N positive solutions for a class of second order two-point boundary value problem |
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| ZHANG Ling-zhong.Existence of N positive solutions for a class of second order two-point boundary value problem[J].Journal of Gansu Agricultural University,2012,47(5):153-155,160. |
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| Authors: | ZHANG Ling-zhong |
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| Institution: | ZHANG Ling-zhong(Xishan Center School of Vocational Education,Wuxi 214101,China) |
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| Abstract: | Apply to the monotone iterative techniques,the paper was concerned with the multiplicity of positive solutions for second order two-point boundary value problem-u″(t)+αu(t)=f(t,u(t)),t∈(0,1)u(0)=u(1)=0.A sufficient condition was given about the existence of positive solutions in above problem,furthermore,we established iterative formula of approximate solutions with arbitrarily small error. |
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| Keywords: | second order boundary value problem monotone terative techniques positive solutions iterative formula |
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