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非线性三阶微分方程组边值问题的多个正解
引用本文:李耀红,张晓燕.非线性三阶微分方程组边值问题的多个正解[J].数学研究及应用,2013,33(3):321-329.
作者姓名:李耀红  张晓燕
作者单位:宿州学院智能信息处理实验室, 安徽 宿州 234000;山东大学数学学院, 山东 济南 250100
基金项目:山东省自然科学基金(Grant No.ZR2012AQ007),山东大学自主创新基金(Grant No.2012TS020)和宿州学院科研平台项目(Grant Nos.2012YKF33;2011YKF13),
摘    要:本文通过利用范数形式的锥拉伸和压缩不动点定理及Leggett-Williams不动点定理,获得了非线性三阶微分方程组边值问题多个正解的存在性,并给出了一些例子说明结果的应用.

关 键 词:边值问题    多个正解    不动点定理.
收稿时间:3/4/2012 12:00:00 AM
修稿时间:9/3/2012 12:00:00 AM

Multiple Positive Solutions of Boundary Value Problems for Systems of Nonlinear Third-Order Differential Equations
Yaohong LI and Xiaoyan ZHANG.Multiple Positive Solutions of Boundary Value Problems for Systems of Nonlinear Third-Order Differential Equations[J].Journal of Mathematical Research with Applications,2013,33(3):321-329.
Authors:Yaohong LI and Xiaoyan ZHANG
Institution:1. Laboratory of Intelligent Information Processing, Suzhou University, Anhui 234000, P.R.China
2. School of Mathematics, Shandong University, Shandong 250100, P.R.China
Abstract:In this paper, we consider boundary value problems for systems of nonlinear third-order differential equations. By applying the fixed point theorems of cone expansion and compression of norm type and Leggett-Williams fixed point theorem, the existence of multiple positive solutions is obtained. As application, we give some examples to demonstrate our results.
Keywords:boundary value problem  multiple positive solutions  fixed-point theorem  
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