| 高阶多点边值问题共振情况下正解的存在性 |
| |
| 引用本文： | 刘丙镯,车晓飞.高阶多点边值问题共振情况下正解的存在性[J].黑龙江科技学院学报,2010,20(5):395-398,410. |
| |
| 作者姓名： | 刘丙镯 车晓飞 |
| |
| 作者单位： | 中国矿业大学理学院,车晓飞江苏徐州221116 |
| |
| 摘 要： | 针对高阶多点共振边值问题研究较少的情况，利用Leggett—Williams型迭合度理论，探讨一类高阶微分方程多点边值问题共振情况下正解的存在性。通过合理的假设，得到了存在正解的充分性条件，并举例说明了结论的可行性。
|
| 关 键 词： | 多点边值问题 Leggett—Williams型迭合度理论 正解 存在性定理 |
Positive solutions of nth-order multi-point boundary value problems at resonance |
| |
| LIU Bingzhuo,CHE Xiaofei.Positive solutions of nth-order multi-point boundary value problems at resonance[J].Journal of Heilongjiang Institute of Science and Technology,2010,20(5):395-398,410. |
| |
| Authors: | LIU Bingzhuo CHE Xiaofei |
| |
| Institution: | (College of Sciences, China University of Mining ＆ Technology, Xuzhou 221116, China) |
| |
| Abstract: | Aimed at higher order multi-point boundary value problems at resonance. This paper seeks to probe into the existence of positive solutions for nth-order multi-point boundary value problems at resonance, by the method of Leggett - Williams norm-type theorem due to D. O＇ Regan and M. Zima. The paper provides an example to demonstrate the results. |
| |
| Keywords: | multi-point boundary value problems Leggett - Williams norm-type theorem positive solutions existence theorem |
| 本文献已被 维普 万方数据 等数据库收录！ |
