| 一类静态梁方程的非负解与非正解 |
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| 引用本文： | 宋灵宇,李晓莉.一类静态梁方程的非负解与非正解[J].长安大学学报(自然科学版),2005,25(5):124-126. |
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| 作者姓名： | 宋灵宇 李晓莉 |
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| 作者单位： | 1. 西安交通大学,理学院,陕西,西安,710049;长安大学,理学院,陕西,西安,710064
2. 长安大学,理学院,陕西,西安,710064 |
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| 摘 要： | 运用Leray—Schauder拓扑度理论，证明了带导数项的一端简单支撑另一端滑动的静态梁方程的可解性，得出了非负解与非正解存在的判据，仅要求非线性项f在原点的1个邻域满足一定的符号条件，突破了以往对非线性项f的增长性限制。所获结果对工程设计及相关数值计算具有重要的理论意义和实用价值。
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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： | 1671-8879（2005）05-0124-03 |
| 收稿时间： | 2004-10-15 |
| 修稿时间： | 2004年10月15 |
Nonegative and nonpositive solutions of an equation as sociated with an elastic beam |
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| SONG Ling-yu,LI Xiao-li.Nonegative and nonpositive solutions of an equation as sociated with an elastic beam[J].JOurnal of Chang’an University:Natural Science Edition,2005,25(5):124-126. |
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| Authors: | SONG Ling-yu LI Xiao-li |
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| Abstract: | The existence of nonegative and nonpositive solutions for a nonlinear elastic beam equation is discussed with derivative arguments. The existence results without any growth restriction on f are obrained. Here only the condition is required that nonlinear function f satisfies certain sign conditions for a neighborhood of origin of coordinates,which breaks through previous growth restrictions on f. 6 refs. |
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| Keywords: | fourth-order boundary value problem positive solution existence fixed point |
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