| 马如云,宋灵宇.两端简单支撑静态梁方程的正解[J].数学研究及应用,2004,24(2):317~320 |
| 两端简单支撑静态梁方程的正解 |
| Positive Solutions of an Equation Associated with an Elastic Beam with Simply Supported End-Points |
| 投稿时间：2001-12-14 |
| DOI：10.3770/j.issn:1000-341X.2004.02.021 |
| 中文关键词: 四阶边值问题 正解 存在性 不动点 |
| 英文关键词:Fourth-order boundary value problem positive solution existence fixed point |
| 基金项目:国家自然科学基金资助项目(10271095);GG-110-10736-1003;NWNU-KJCXGC-212;教育部重点科技项目;教育部优秀青年教师资助计划项目. |
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| 中文摘要: |
| 本文在非线性项f增长不受限制的前提下,讨论带导数项的两端简单支撑静态梁方程y(4)=f(x,y,y′,y″,y),y(0)=y(1)=y″(0)=y″(1)=0的可解性。 |
| 英文摘要: |
| In this paper, we consider the fourth-order two-point boundary problem describing the deformation of an elastic beam with simply supported end-points. We show the existence of positive solutions without any growth restrictions on f. |
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