| 脉冲三点边值问题的变号解 |
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| 引用本文： | 徐西安.脉冲三点边值问题的变号解[J].应用数学,2006,19(3):606-612. |
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| 作者姓名： | 徐西安 |
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| 作者单位： | 徐州师范大学数学系,江苏,徐州,221116 |
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| 基金项目： | 中国博士后科学基金;江苏省教育厅自然科学基金 |
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| 摘 要： | 本文首先使用拓扑度和不动点指数方法,得到了关于抽象空间中算子方程变号解及多个变号解存在的几个结果,然后将所得结果应用于一类含脉冲三点边值问题,得到了变号解及多个变号解的存在性结果.
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| 关 键 词： | 脉冲三点边值问题 不动点指数 拓扑度 |
| 文章编号： | 1001-9847(2006)03-0606-07 |
| 收稿时间： | 2005-12-13 |
| 修稿时间： | 2005年12月13 |
Sign-Changing Solutions for Some Three-Point Boundary Value Problems with Impulses |
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| XU Xi-an.Sign-Changing Solutions for Some Three-Point Boundary Value Problems with Impulses[J].Mathematica Applicata,2006,19(3):606-612. |
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| Authors: | XU Xi-an |
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| Institution: | Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China |
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| Abstract: | In this paper,first some new results about the existence and miltiplicity of sign-changing solutions for an operator equation in a real Banach space are obtained by using the Leray-Schauder degree theory and the fixed point index method,then,by using these results some results about the existence and miltiplicity of sign-changing solutions for some three-point boundary value problems with impulses are obtained. |
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| Keywords: | Three-point boundary value problems with impulses The fixed point index The Leray-Schauder degree |
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