| 锥上的半线性方程正解的存在性定理及其应用 |
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| 引用本文： | 王峰,崔玉军,张芳.锥上的半线性方程正解的存在性定理及其应用[J].数学学报,2011(3):373-380. |
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| 作者姓名： | 王峰 崔玉军 张芳 |
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| 作者单位： | 常州大学数理学院;山东科技大学信息科学与工程学院; |
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| 基金项目： | 国家自然科学基金资助项目(10971179); 常州大学数理基金资助项目(JS201008) |
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| 摘 要： | 在不要求正规锥的条件下,利用A-proper半线性算子的不动点指数性质,本文给出了半线性方程正解的存在性结果.作为应用,我们获得了二阶m点共振边值问题正解的存在性.
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| 关 键 词： | 不动点指数 A-proper半线性算子 共振 |
Existence Theorems of Positive Solutions for Semilinear Equations in Cones and Applications |
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| Feng WANG School of Mathematics , Physics,Changzhou University,Changzhou ,P.R.China Yu Jun CUI College of Information , Engineering,Sh,ong University of Science , Technology,Qingdao ,P.R.China Fang ZHANG School of Mathematics , Physics,P.R.China.Existence Theorems of Positive Solutions for Semilinear Equations in Cones and Applications[J].Acta Mathematica Sinica,2011(3):373-380. |
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| Authors: | Feng WANG School of Mathematics Physics Changzhou University Changzhou PRChina Yu Jun CUI College of Information Engineering Sh ong University of Science Technology Qingdao PRChina Fang ZHANG School of Mathematics Physics PRChina |
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| Institution: | Feng WANG School of Mathematics and Physics,Changzhou University,Changzhou 213164,P.R.China Yu Jun CUI College of Information and Engineering,Shandong University of Science and Technology,Qingdao 266510,P.R.China Fang ZHANG School of Mathematics and Physics,P.R.China |
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| Abstract: | Existence results of positive solutions for semilinear operator equations without the assumption of normal cones are obtained by the help of the properties of a fixed point index for A-proper semilinear operators in this paper.As an application of our results,we prove the existence theorem concerning the existence of positive solutions for the second order m-point boundary value problems at resonance. |
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| Keywords: | fixed point index A-proper semilinear operators resonance |
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