| 严格集压缩算子的最大歧点和最大渐近歧点 |
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| 引用本文： | 秦月君.严格集压缩算子的最大歧点和最大渐近歧点[J].贵州大学学报(自然科学版),1990,7(4):202-211. |
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| 作者姓名： | 秦月君 |
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| 作者单位： | 贵州大学数学系 贵阳 |
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| 摘 要： | 在本文中,首先给出计算严格集压缩算子的不动点指数的一种方法,然后利用它证明严格集压缩算子的最大歧点和最大渐近歧点定理,从而推广了全连续算子的相应结果。最后将这个结果应用于非线性微分方程X″+f(t,x′,x″)=0的一个两点边值问题
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| 关 键 词： | 严格集 压缩算子 不动点指数 |
Greatest Bifurcation and Asymptotic Bifurcation Points for the K<1--set Contractions |
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| Qin Yuejun.Greatest Bifurcation and Asymptotic Bifurcation Points for the K<1--set Contractions[J].Journal of Guizhou University(Natural Science),1990,7(4):202-211. |
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| Authors: | Qin Yuejun |
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| Institution: | Qin Yuejun Department of Mathematic,Guj zhou University,Guiyung |
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| Abstract: | In this paper. We first give a computational method of the fixed point index for k<1-set contractions, and then prove the greatest bifurcation and asymptotic bifurcation points theorem using this method for this operators. Finality, weuse those theorems to the two points boundary value problem for the nonlinear differential equation x" +f(t.x.x'.x")=0, and then obtain the greatest bifurcation and asgmptotic bifurcation points of this problem. |
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| Keywords: | Ordered Banach space Spectral radius Fixed point Indes Maximal branching point Maximal asgmptotic branching point |
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