| 拓扑度计算定理及其应用 |
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| 引用本文： | 李志龙.拓扑度计算定理及其应用[J].系统科学与数学,2012,32(1):121-128. |
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| 作者姓名： | 李志龙 |
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| 作者单位： | 江西财经大学统计学院,南昌,330013 |
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| 基金项目： | 国家自然科学基金，江西省自然科学基金，江西省教育厅科学技术研究(GJJ11420;GJJ12280)资助课题 |
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| 摘 要： | 利用半序方法和不动点指数理论,建立了一个非锥映射全连续算子拓扑度为1的新的计算定理.作为应用,考虑了Hammerstein积分方程的非平凡解存在性问题.
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| 关 键 词： | 半序方法 拓扑度 Hammerstein积分方程 非平凡解 |
COMPUTATIONAL THEOREM OF TOPOLOGICAL DEGREE AND APPLICATIONS |
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| LI Zhilong.COMPUTATIONAL THEOREM OF TOPOLOGICAL DEGREE AND APPLICATIONS[J].Journal of Systems Science and Mathematical Sciences,2012,32(1):121-128. |
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| Authors: | LI Zhilong |
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| Institution: | LI Zhilong (School of Statistics,Jiangxi University of Finance and Economics,Nanchang 330013) |
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| Abstract: | By partial order method and fixed point index theory,a new computational theorem of topological degree for a non-cone completely continuous mapping is eastablished. As an application,the existence of nontrivial solutions for Hammerstein integral equations is obtained. |
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| Keywords: | Partial order method topological degree Hammerstein integral equations nontrivial solutions |
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