| Z-P-S空间中一类非线性算子方程解的存在性问题 |
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| 引用本文： | 肖芳明,朱传喜.Z-P-S空间中一类非线性算子方程解的存在性问题[J].应用泛函分析学报,2011,13(2):168-171. |
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| 作者姓名： | 肖芳明 朱传喜 |
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| 作者单位： | 南昌大学数学系,南昌,330031 |
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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 |
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| 摘 要： | 拓扑度理论是研究非线性算子方程解的存在性的有力工具.利用拓扑度的方法,对Z-P-S空间中一类非线性算子方程解的存在性问题进行了研究,得到了若干新的结果.
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| 关 键 词： | Z-P-S空间 紧连续算子 拓扑度 同伦不变性 |
Existence of Solutions for a Class of Nonlinear Operator Equation in Z-P-S Space |
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| XIAO Fangming,ZHU Chuanxi.Existence of Solutions for a Class of Nonlinear Operator Equation in Z-P-S Space[J].Acta Analysis Functionalis Applicata,2011,13(2):168-171. |
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| Authors: | XIAO Fangming ZHU Chuanxi |
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| Institution: | XIAO Fangming,ZHU Chuanxi Department of Mathematic,Nanchang University,Nanchang 330031,China |
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| Abstract: | Topological degree theory is one of the most powerful tool to study the existence of solutions for nonlinear operator equation.In this paper,the existence of solutions for a class of nonlinear operator equation is studied by virtue of the topological degree in Z-P-S space,and some new conclusions are obtained. |
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| Keywords: | Z-P-S space compact continuous operator topological degree homotopy invariance |
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