| 叠合度的缺方向性与边值共振问题的非平凡解 |
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| 引用本文： | 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. |
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| 作者姓名： | 张福保 |
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| 作者单位： | 徐州师范大学数学系 |
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| 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．
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| 关 键 词： | 叠合度 缺方向性 非平凡解 边值问题 |
| 文章编号： | 1000-341X(199)04-0693-06 |
| 收稿时间： | 9/5/1996 12:00:00 AM |
Lack of Direction Property of the Coincidence Degree and Applications |
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| ZHANG Fu-bao.Lack of Direction Property of the Coincidence Degree and Applications[J].Journal of Mathematical Research with Applications,1999,19(4):693-698. |
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| Authors: | ZHANG Fu-bao |
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| Institution: | Dept. of Math.; Xuzhou Normal University; Jiangsu 221009 |
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| Abstract: | 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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| Keywords: | coincidence degree I the lack of property nontrivial solution boundary valueproblem |
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