| 高阶非局部奇异半正边值问题正解的存在性问题 |
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| 引用本文： | 沈文国.高阶非局部奇异半正边值问题正解的存在性问题[J].兰州大学学报(自然科学版),2012,48(2):97-100,105. |
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| 作者姓名： | 沈文国 |
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| 作者单位： | 兰州工业高等专科学校基础学科部,兰州,730050 |
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| 基金项目： | 国家自然科学基金项目(11061030);甘肃省教育厅基金项目(1114-04) |
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| 摘 要： | 利用锥拉伸和锥压缩型的Krasnosel'skii不动点定理,研究了一类边值中含有Riemann-Stieltjes积分的奇异高阶半正边值问题正解的存在性问题,其中非线性项f(t,x)在t=0和t=1处具有奇异性.给正参数λ和函数f(t,x)赋予一定的条件,使得上述问题至少存在一个正解.
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| 关 键 词： | 高阶非局部奇异微分方程 格林函数 正解 半正边值问题 锥上不动点定理 |
Positive solutions to semipositone higher order singular nonlocal boundary value problems |
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| SHEN Wen-guo.Positive solutions to semipositone higher order singular nonlocal boundary value problems[J].Journal of Lanzhou University(Natural Science),2012,48(2):97-100,105. |
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| Authors: | SHEN Wen-guo |
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| Institution: | SHEN Wen-guo Department of Basic Courses,Lanzhou Polytechnic College,Lanzhou 730050,China |
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| Abstract: | By using the Krasnosel’skii fixed point theorem of the cone expansion-compression type,the existence of positive solutions were considered for a class semipositone higher order singular nonlocal boundary value problems involving Riemann-Stieltjes integral conditions,where f(t,x) are singular at t=0 and t=1. Conditions on positive parameter A and f(t,x) were given that can guarantee the existence of at least one positive solution to the above problem. |
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| Keywords: | higher order nonlocal singular differ equation Green’s function positive solution semi-positone problem fixed point theorem in cone |
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