| 关于集值映象的某些问题 |
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| 引用本文： | 杨书郎. 关于集值映象的某些问题[J]. 高校应用数学学报(A辑), 1993, 0(1): 79-89 |
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| 作者姓名： | 杨书郎 |
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| 作者单位： | 厦门大学 |
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| 摘 要： | 本文用适当的不动点同伦方法,在某些边界条件的支持下,通过特定的变换,研究了一类集值映象方程的非零解与固有元等在非线性分析中有意义的问题;作为所得理论结果的某些应用,文中还研究了极大化问题与微分方程组的非零周期解等问题。
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| 关 键 词： | 不动点同伦 集值映象方程 非零解 |
SOME PROBLEMS ON THE SET-VALUED MAPPING |
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| Yang Shulang. SOME PROBLEMS ON THE SET-VALUED MAPPING[J]. Applied Mathematics A Journal of Chinese Universities, 1993, 0(1): 79-89 |
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| Authors: | Yang Shulang |
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| Affiliation: | Xiamen University |
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| Abstract: | In the paper, the problems on the non-zero solutions and the eigenvectors of a class for set-valued mappings are studied under some boundary conditions by special transformations.For the application of some general theories obtained in the paper, the problems on the maximization and the non-zero periodic solutions for a system of differential equations are also studied. |
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| Keywords: | Fixed Point-Homotopy Set-Valued Mapping Equation Non-Zero Solution. |
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