| 冯丹,徐西安.二阶非线性周期边值问题在平行上下解条件下的多解(Ⅰ)[J].数学年刊A辑,2009,30(1):139~152 |
| 二阶非线性周期边值问题在平行上下解条件下的多解(Ⅰ) |
| Multiple Solutions for Second-Order Nonlinear Periodic Boundary Value Problems in Presence of Two Pairs of Parallelled Upper and Lower Solutions |
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| DOI： |
| 中文关键词: 严格上下解 迭合度 Nagumo条件 |
| 英文关键词:Strict upper and lower solutions, Coincidence degree, Nagumo condition |
| 基金项目:国家自然科学基金 |
| Author Name | Affiliation | E-mail | | FENG Dan | School of Mathematical Sciences, Xuzhou Normal University, Xuzhou 221116,
Jiangsu, China
Zhenjiang Experimental High School, Zhenjiang 212003,
Jiangsu, China. | fengdan83@126.com | | XU Xian | School of Mathematical Sciences, Xuzhou Normal University, Xuzhou 221116,
Jiangsu, China. | xuxian68@163.com |
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| 中文摘要: |
| 证明了一类二阶非线性周期边值问题的多解结果.主要利用迭合度方法得出此类问题至少有3解,5解和9解. |
| 英文摘要: |
| This paper deals with multiplicity of solutions of some nonlinear periodic bound-
ary value problems. And using coincidence degree theory some results of at least three, five
and nine solutions are obtained. |
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