| 李耀红,张晓燕.非线性三阶微分方程组边值问题的多个正解[J].数学研究及应用,2013,33(3):321~329 |
| 非线性三阶微分方程组边值问题的多个正解 |
| Multiple Positive Solutions of Boundary Value Problems for Systems of Nonlinear Third-Order Differential Equations |
| 投稿时间：2012-03-04 修订日期：2012-09-03 |
| DOI：10.3770/j.issn:2095-2651.2013.03.006 |
| 中文关键词: 边值问题 多个正解 不动点定理. |
| 英文关键词:boundary value problem multiple positive solutions fixed-point theorem. |
| 基金项目:山东省自然科学基金（Grant No.ZR2012AQ007),山东大学自主创新基金（Grant No.2012TS020)和宿州学院科研平台项目（Grant Nos.2012YKF33;2011YKF13)， |
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| 中文摘要: |
| 本文通过利用范数形式的锥拉伸和压缩不动点定理及Leggett-Williams不动点定理,获得了非线性三阶微分方程组边值问题多个正解的存在性,并给出了一些例子说明结果的应用. |
| 英文摘要: |
| In this paper, we consider boundary value problems for systems of nonlinear third-order differential equations. By applying the fixed point theorems of cone expansion and compression of norm type and Leggett-Williams fixed point theorem, the existence of multiple positive solutions is obtained. As application, we give some examples to demonstrate our results. |
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