| 两端简单支撑静态梁方程的正解 |
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| 引用本文： | 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. |
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| 作者姓名： | 马如云 宋灵宇 |
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| 作者单位： | 西北师范大学数信学院,甘肃,兰州,730070 |
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| 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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| 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。
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| 关 键 词： | 四阶边值问题 正解 存在性 不动点 |
| 文章编号： | 1000-341X(2004)02-0317-04 |
| 收稿时间： | 2001/12/14 0:00:00 |
| 修稿时间： | 2001年12月14 |
Positive Solutions of an Equation Associated with an Elastic Beam with Simply Supported End-Points |
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| MA Ru-yun and SONG Ling-yu.Positive Solutions of an Equation Associated with an Elastic Beam with Simply Supported End-Points[J].Journal of Mathematical Research with Applications,2004,24(2):317-320. |
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| Authors: | MA Ru-yun and SONG Ling-yu |
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| Institution: | Dept. of Math.; Northwest Normal Universtiy; Lanzhou; China;Dept. of Math.; Northwest Normal Universtiy; Lanzhou; China |
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| Abstract: | 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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| Keywords: | Fourth-order boundary value problem positive solution existence fixed point |
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