| 带有积分边值条件的三阶边值问题正解的存在性 |
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| 引用本文： | 刘玉敬,郭少聪,郭彦平. 带有积分边值条件的三阶边值问题正解的存在性[J]. 河北科技大学学报, 2012, 33(2): 93-96,145 |
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| 作者姓名： | 刘玉敬 郭少聪 郭彦平 |
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| 作者单位： | 1. 河北科技大学理学院,河北石家庄,050018
2. 河北科技大学电气信息学院,河北石家庄,050018 |
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| 基金项目： | 国家自然科学基金，河北省自然科学基金 |
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| 摘 要： | 应用特征值准则研究了一类三阶带有积分边值条件边值问题正解的存在性,其中非线性项f:[0,1]×[0,∞)→[0,∞)满足Caratheodory条件。在赋予非线性项一定条件下,得到该边值问题至少存在3个正解的充分条件。
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| 关 键 词： | 特征值准则 格林函数 正解 边值问题 积分边值条件 |
| 收稿时间： | 2011-09-26 |
Existence of positive solutions of the third order boundary value problems with integral boundary conditions |
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| LIU Yu-jing,GUO Shao-cong and GUO Yan-ping. Existence of positive solutions of the third order boundary value problems with integral boundary conditions[J]. Journal of Hebei University of Science and Technology, 2012, 33(2): 93-96,145 |
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| Authors: | LIU Yu-jing GUO Shao-cong GUO Yan-ping |
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| Affiliation: | 1.College of Sciences,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China;2.College of Electrical Engineering and Information Science,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China) |
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| Abstract: | By using eigenvalue criteria,the existence of positive solutions to the boundary value problems with integral boundary conditions is considered,where the nonlinear term f:×[0,∞)→[0,∞) satisfies Caratheodory conditions.The existence of at least three positive solutions is proved for the boundary value problems when the nonlinear term meets some certain conditions. |
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| Keywords: | eigenvalue criteria Green’s function positive solution boundary value problem integral boundary condition |
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