| 非线性三阶常微分方程组三点边值问题的多个正解 |
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| 引用本文： | 何希萍.非线性三阶常微分方程组三点边值问题的多个正解[J].河西学院学报,2011,27(2):35-39. |
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| 作者姓名： | 何希萍 |
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| 作者单位： | 甘肃广播电视大学教学指导中心,甘肃兰州,730030 |
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| 摘 要： | 研究了一类非线性三阶常微分方程组三点边值问题,通过运用Leggett-Williams不动点定理和Leray-schauder不动点定理建立了该问题至少有三个正解及任意奇数个正解的存在性准则.
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| 关 键 词： | 边值问题 三阶 三点 正解 锥 不动点 |
Multiple Positive Solutions to Three-point Boundary Value Problems for Nonlinear Third-order Differential Equations |
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| He Xi-ping.Multiple Positive Solutions to Three-point Boundary Value Problems for Nonlinear Third-order Differential Equations[J].Journal of Hexi University,2011,27(2):35-39. |
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| Authors: | He Xi-ping |
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| Institution: | He Xi-ping(Teaching Guidance Center,Gansu Radio and TV University,Lanzhou 730030,China) |
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| Abstract: | By using Leggett-Williams fixed point theorem and Leray-Schauder fixed point theorem,this paper,establishes the existence criteria of three positive solutions as well as arbitary odd positive solutions to the three-point boundary value problems for third-order differential equations. |
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| Keywords: | Boundary value problem Third-order Three-point Positive solution Cone |
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