| 含有集压缩映射的非线性变分不等方程的分歧定理 |
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| 引用本文： | 赵胜芝. 含有集压缩映射的非线性变分不等方程的分歧定理[J]. 辽宁大学学报(自然科学版), 2001, 28(2): 97-100 |
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| 作者姓名： | 赵胜芝 |
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| 作者单位： | 辽宁大学数学系, |
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| 摘 要： | P.Quitter^[1]讨论了变分不等方程的特征值及分歧点，其中非线性部分限制为紧的，本文讨论非线性部分为某种集压缩情形，并给出相应的分歧定理。
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| 关 键 词： | 分歧点 凝聚映射 集压缩映射 非线性变分不等方程 分歧定理 Hilber空间 |
| 文章编号： | 1000-5846(2001)02-0097-04 |
A Bifurcation Theorem of a Nonlinear Variational Inequality Equation with Set Contraction Maps |
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| ZHAO Shengzhi. A Bifurcation Theorem of a Nonlinear Variational Inequality Equation with Set Contraction Maps[J]. Journal of Liaoning University(Natural Sciences Edition), 2001, 28(2): 97-100 |
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| Authors: | ZHAO Shengzhi |
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| Affiliation: | ZHAO Shengzhi Department of Mathematics,Liaoning University,Shenyang 110036 |
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| Abstract: | P.Quittner [1] investigated the eigenvalues and the bifurcation points of a nonlinear variational inequality with compact nonlinear parts. In this paper, however, the compactness is generalized as the set contraction. Correspondingly, a bifurcation theorem is shown. |
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| Keywords: | bifurcation point degree for condensing map set contraction. |
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