| 非线性算子方程的变号解及其应用 |
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| 引用本文： | 崔玉军,邹玉梅,李红玉.非线性算子方程的变号解及其应用[J].系统科学与数学,2009,29(8):1094-1101. |
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| 作者姓名： | 崔玉军 邹玉梅 李红玉 |
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| 作者单位： | 山东科技大学信息科学与工程学院,青岛,266510 |
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| 摘 要： | 利用锥理论讨论了非线性算子方程变号解的存在性,所得结果在理论上推广了相关文献的结论. 作为应用,考虑了二阶三点边值问题, 得到了新的结论.
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| 关 键 词： | 不动点指数 变号解 锥 三点边值问题. |
| 收稿时间： | 2007-11-19 |
| 修稿时间： | 2008-9-18 |
EXISTENCE OF SIGN-CHANGING SOLUTIONS FOR NONLINEAR OPERATOR EQUATIONS AND ITS APPLICATIONS |
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| CUI Yujun,ZOU Yumei,LI Hongyu.EXISTENCE OF SIGN-CHANGING SOLUTIONS FOR NONLINEAR OPERATOR EQUATIONS AND ITS APPLICATIONS[J].Journal of Systems Science and Mathematical Sciences,2009,29(8):1094-1101. |
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| Authors: | CUI Yujun ZOU Yumei LI Hongyu |
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| Institution: | College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510 |
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| Abstract: | In this paper, the existence of sign-changing solutions for nonlinear operator equations is discussed. The abstract results generalize the existing ones. As anapplication, we investigate the existence of sign-changing solutions for some three-point boundary value problem is investigated. |
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| Keywords: | Fixed point index sign-changing solution cone three-point boundary value problem |
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