| 二阶多点共振边值问题的正解 |
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| 引用本文： | 索秀云,江卫华,陆静.二阶多点共振边值问题的正解[J].数学的实践与认识,2011,41(15). |
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| 作者姓名： | 索秀云 江卫华 陆静 |
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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. 太原理工大学阳泉学院基础部,山西太原,045000 |
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| 基金项目： | 国家自然科学基金(60874003,10875094); 河北科技大学博士基金(QD201020) |
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| 摘 要： | 运用不动点指数理论,我们得到具有共振的二阶多点边值问题正解存在性的几个定理;其中的非线性项可以不连续.
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| 关 键 词： | 特征值准则 不动点指数 m-点边值问题 |
Positive Solutions for Second Order Multipoint Boundary Value Problem at Resonance |
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| SUO Xiu-yun,JIANG Wei-hua,LU Jing.Positive Solutions for Second Order Multipoint Boundary Value Problem at Resonance[J].Mathematics in Practice and Theory,2011,41(15). |
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| Authors: | SUO Xiu-yun JIANG Wei-hua LU Jing |
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| Institution: | SUO Xiu-yun~1,JIANG Wei-hua~1,LU Jing~2 (1.College of Sciences,Hebei University of Science and Technology,Shijiazhuang 050018,China) (2.Department of Basic Courses,Taiyuan University of Technology Yanquan College,Yanquan 045000,China) |
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| Abstract: | Using the fixed point index theory,we obtain several theorems of existence of positive solutions for second-order multipoint boundary value problem at resonance,where the nonlinear term may be noncontinuous. |
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| Keywords: | eigenvalue criteria fixed point index m-point boundary value problem |
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