| 应用同伦映射讨论算子方程解的存在性 |
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| 引用本文： | 陈文虎,郭爱主.应用同伦映射讨论算子方程解的存在性[J].湖南师范大学教育科学学报,1996(2). |
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| 作者姓名： | 陈文虎 郭爱主 |
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| 作者单位： | 湖南教育学院，岳阳市师范学校 |
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| 摘 要： | 本文应用凝聚场拓扩度的同伦不变性，讨论某些具有边界条件的算子方程解的存在性，给出了Ａｌｔｍａｎ定理的几个推广以及在Ｈｉｌｂｅｒｔ空间中凝聚映象的锐角原理
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| 关 键 词： | 凝聚场 拓扩度 锐角原理 |
USING HOMOTOPIC MAPPING TO STUDY EXISTENDE OF SOLUTIONS OF OPERTOR EQUATION |
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| Cheng Wenhu.USING HOMOTOPIC MAPPING TO STUDY EXISTENDE OF SOLUTIONS OF OPERTOR EQUATION[J].Journal of Educational Science of Hunan Normal University,1996(2). |
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| Authors: | Cheng Wenhu |
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| Abstract: | In this paper the invariance of homotopy of topological degree of field of condensing mappings is used to study the existence of solutions of some opentor equations with a boundary condition.Thereby Some generalixation of Altman's theorem and the principle of acute angle of condensing mapping in the Hilbert space. |
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| Keywords: | field of condensing mappings topological degree prinple of acute angle |
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