| 张福保.叠合度的缺方向性与边值共振问题的非平凡解[J].数学研究及应用,1999,19(4):693~698 |
| 叠合度的缺方向性与边值共振问题的非平凡解 |
| Lack of Direction Property of the Coincidence Degree and Applications |
| 投稿时间：1996-09-05 |
| DOI：10.3770/j.issn:1000-341X.1999.04.012 |
| 中文关键词: 叠合度 缺方向性 非平凡解 边值问题 |
| 英文关键词:coincidence degree I the lack of property nontrivial solution boundary valueproblem. |
| 基金项目: |
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| 摘要点击次数: 1918 |
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| 中文摘要: |
| 本文在无任何附加条件的情况下证明了叠合度也具有Ｌｅｒａｙ－Ｓｃｈａｕｄｅｒ度的缺方向性质，完全解决了前人工作中的遗留问题．作为这一结果的应用，证明了一类ｍ－点边值问题和Ｄｕｆｆｉｎｇ方程周期边值问题非平凡解的存在性结果． |
| 英文摘要: |
| In this paper, the lack of direction property of the coincidence degree, which wasproved partially in [3], is proved completely without any additional condition. As applications, the existence of nontrivial solutions of a class of m-point boundary value problem atresonance and periodic boundary value problem for Duffing equation is dicussed. |
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