| 一类凹算子以及变号核算子的不动点及其应用 |
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| 引用本文： | 刘希玉. 一类凹算子以及变号核算子的不动点及其应用[J]. 山东大学学报(理学版), 1989, 0(4) |
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| 作者姓名： | 刘希玉 |
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| 作者单位： | 山东大学数学系 |
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| 摘 要： | 本文讨论一类凹算子在不作紧性假设下不动点的存在性,以及一类变号核算子方程可解性,并应用于 Hammerstein 方程。
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| 关 键 词： | 凹算子 不动点 非线性积分方程 变号核 |
FIXED POINTS OF CONCAVE OPERATORS AND OPERATORS WITH NONPOSITIVE KERNEL AND APPLICATIONS |
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| Liu Xiyu. FIXED POINTS OF CONCAVE OPERATORS AND OPERATORS WITH NONPOSITIVE KERNEL AND APPLICATIONS[J]. Journal of Shandong University, 1989, 0(4) |
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| Authors: | Liu Xiyu |
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| Abstract: | This paper deals with a kind of concave operators without compactnessconditions and of integral equations of Hammerstein type with nonpositivekernel.Existence of fixed points is established under certain concave assump-itons and applications to integral equations are given. |
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| Keywords: | concave operators fixed points nonlinear Hammerstein equations nonpositive kernel |
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