| 一类Hammerstein型非线性方程的固有值与分歧点 |
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| 引用本文： | 刘波.一类Hammerstein型非线性方程的固有值与分歧点[J].西南交通大学学报,1990(4):79-85. |
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| 作者姓名： | 刘波 |
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| 作者单位： | 中国科学院成都分院 |
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| 摘 要： | 本文利用Leray-Schauder度理论和锥理论研究了一类Hammerstein型非线性积分方程的固有值与国有函数的分布,进而得到两个无法用本征值的维数与拓扑方法(大范围分歧定理)得到的分歧定理。
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| 关 键 词： | 固有值 固有函数 非线性方程 分歧 |
The Eigenvalues and Branch Points of a Kind of Hammerstein Type Nonlinear Equations |
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| Liu Bo.The Eigenvalues and Branch Points of a Kind of Hammerstein Type Nonlinear Equations[J].Journal of Southwest Jiaotong University,1990(4):79-85. |
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| Authors: | Liu Bo |
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| Abstract: | In this paper, the eigenvalues and distribution of eigen-functions for a kind of Hammerstein type nonlinear integral equations are discussed by using the Leray-Schauder degree and cone theory. Furthermore, two bifurcation theorems, which can not be obtained by the dimension of eigenvalue and topology method (the large extent bifurcation theorem), are obtained. |
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| Keywords: | eigenvalue eigenfunction branch point cone monotony |
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