| Z-P-S空间中非线性算子方程解的存在性 |
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| 引用本文： | 王培培,朱传喜.Z-P-S空间中非线性算子方程解的存在性[J].吉林大学学报(理学版),2011,49(2):247-250. |
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| 作者姓名： | 王培培 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： | 在Z-P-S空间中,利用拓扑度方法研究非线性算子方程Tx=μx(其中μ≥1)和Tx=μx+p(其中μ≥1)解的存在性,得到了一些新的定理和推论.
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| 关 键 词： | 紧连续算子 Z-P-S空间 拓扑度 同伦不变性 |
| 收稿时间： | 2010-04-01 |
Existence for Solution of Nonlinear Operator Equation Problems in Z-P-S Space |
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| WANG Pei-pei,ZHU Chuan-xi.Existence for Solution of Nonlinear Operator Equation Problems in Z-P-S Space[J].Journal of Jilin University: Sci Ed,2011,49(2):247-250. |
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| Authors: | WANG Pei-pei ZHU Chuan-xi |
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| Institution: | Department of Mathematics, Nanchang University, Nanchang 330031, China |
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| Abstract: | The solution of non linear operator equation Tx=μx+p(μ≥1) and Tx=μx(μ≥1) in the Z-P-S space was studied via topological degree method and some theorems and deductions were obtained. Meanwhile some important conclusions were improved and generalized. |
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| Keywords: | compact continuous operator Z-P-S space topological degree homotopy invariance |
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