| 广义静态梁方程非负解的存在性 |
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| 引用本文： | 宋灵宇,张雅荣.广义静态梁方程非负解的存在性[J].纯粹数学与应用数学,2011,27(4):450-458. |
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| 作者姓名： | 宋灵宇 张雅荣 |
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| 作者单位： | 1. 长安大学理学院,陕西西安,710064
2. 西安科技大学计算机学院,陕西西安,710054 |
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| 基金项目： | 国家自然科学基金，长安大学中央高校基本科研业务费专项资金 |
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| 摘 要： | 运用Leray—Schauder拓扑理论，证明了广义静态梁方程和静态梁方程非负解的存在性，仅要求非线性项f在原点的某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具有重要的理论意义和实用价值．
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| 关 键 词： | 边值问题 静态梁方程 Arzela-Ascoli定理 |
On the existence of nonegative solutions of nonlinear elastic beam equations |
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| SONG Ling-yu,ZHANG Ya-rong.On the existence of nonegative solutions of nonlinear elastic beam equations[J].Pure and Applied Mathematics,2011,27(4):450-458. |
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| Authors: | SONG Ling-yu ZHANG Ya-rong |
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| Institution: | 2 (1. School of Science, Chang＇an University, Xi＇an 710064, China; 2. School of Computer, Xi＇an University of Science and Technology, Xi＇an 710054, China) |
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| Abstract: | In this paper, we proved the existence of nonegative solutions for nonlinear elastic beam equations by applying Leray-Schauder theory. Here only the condition is required that nonlinear function f satisfies certain sign conditions for a neighborhood of or |
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| Keywords: | boundary value problem elastic beam equation Arzela-Ascoli theorem |
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