| LERAY-SCHAUDER度的简化定理及其应用 |
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| 引用本文： | 仉志余. LERAY-SCHAUDER度的简化定理及其应用[J]. 山东科技大学学报(自然科学版), 1989, 0(1) |
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| 作者姓名： | 仉志余 |
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| 作者单位： | 山东矿业学院基础部 |
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| 摘 要： | 本文将有限维赋范线性空间中连续映象的Brouwer度的简化定理推广,得到了无穷维贼范线性空间中全连续场的Leray-Schauder度的简化定理,并讨论了它的基本应用,得到了几个全连续场的度数。
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| 关 键 词： | 非线性算子 紧算子 映射度 Leray-Schauder度 全连续场 |
THE REDUCTION THEOREM AND ITS APPLICATION TO LERAY-SCHAUDER DEGREE |
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| Zhang zhiyu. THE REDUCTION THEOREM AND ITS APPLICATION TO LERAY-SCHAUDER DEGREE[J]. Journal of Shandong Univ of Sci and Technol: Nat Sci, 1989, 0(1) |
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| Authors: | Zhang zhiyu |
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| Affiliation: | Dept. of Basic Courses |
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| Abstract: | This paper generalizes the reduction theorem for Brouwer degree of the continuous map in finite dimensional normed linear space , and obtained the reduction theorem for leray-Schauder degree of the completely continuous field in infinite dimen sional normed linear space In addition, this paper studies the basic application of the reduction theorem to Leray-Schauder degree, and obtains the degrees of some completely continuous fields |
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| Keywords: | non-linear operator compact operator degree of mapping Leray-Schauder degree completely continuous field |
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