非局部边界条件的半正定三阶边界值问题
PDF下载 (664)贾明娜,计 婷,曲树华,胡良根 *.非局部边界条件的半正定三阶边界值问题[J].宁波大学学报(理工版),2017,30(4):88-91.DOI:
JIA Ming-na,JI Ting,QU Shu-hua,HU Liang-gen *.Positive solutions of semipositone for a third order boundary value problem with nonlocal boundary conditions[J].Journal of Ningbo University(Natural Science & Engineering Edition),2017,30(4):88-91.DOI:
| Title: | Positive solutions of semipositone for a third order boundary value problem with nonlocal boundary conditions |
| 作者: | 贾明娜, 计 婷, 曲树华, 胡良根 * |
| Author(s): | JIA Ming-na, JI Ting, QU Shu-hua, HU Liang-gen * |
| 关键词: | 半正定; 三阶边界值问题; 正解; 存在性 |
| Keywords: | semipositone; third order boundary value problem; positive solution; existence |
| 分类号: | O177.91; O175.8 |
| 文献标识码: | A |
| 摘要: | 运用Green函数的性质、不动点指数定理和变量替换, 研究具有非局部边界条件的半正定三阶边界问题正解的存在性. |
| Abstract: | In this paper, using the property of Green’s function, we investigate the existence of positive solutions of the semipositone problems for a semipositone third order boundary value problem with nonlocal boundary conditions. Also probed is the fixed point index theorem and variable transformation. |
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| 备注/Memo: | 收稿日期: 2016－09－30. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 国家自然科学基金（11201248）; 浙江省自然科学基金（LY17A010023）; 宁波市自然科学基金（2016A610073）. 第一作者: 贾明娜（1991－）, 女, 河南商丘人, 在读硕士研究生, 主要研究方向: 非线性泛函分析和椭圆方程. E-mail: jiamingna1@163.com *通信作者: 胡良根（1977－）, 男, 江西临川人, 副教授, 主要研究方向: 非线性泛函分析. E-mail: hulianggen@tom.com 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
