| Banach空间中非线性奇异两点边值问题的多重正解 |
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| 引用本文： | 周友明.Banach空间中非线性奇异两点边值问题的多重正解[J].数学研究及应用,2006,26(1):1-8. |
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| 作者姓名： | 周友明 |
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| 作者单位： | 江苏技术师范学院基础部,江苏,常州,213015 |
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| 基金项目： | the ＂Qing-Lan＂ Project of Jiangsu Education Committee and the Natural Science Foundation of Jiangsu Education Committee, China （02KJD460011） |
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| 摘 要： | 本文研究Banach空间E中非线性奇异边值问题-x'=f(t,x), t∈(0,1), a1x(0)-a2x'(0)=θ, b1x(0)-b2x'(1)=θ.其中θ是E中的零元素, f({t,x})在端点t=0和t=1处具有奇性. 利用不动点定理获得了该问题至少有两个正解的结果.
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| 关 键 词： | 奇异边值问题 Banach空间 正解 不动点定理 |
| 文章编号： | 1000-341X(2006)01-0001-08 |
| 收稿时间： | 10 16 2003 12:00AM |
| 修稿时间： | 2003年10月16 |
Multiple Positive Solutions of Nonlinear Singular Two-point Boundary Value Problems in Banach Spaces |
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| ZHOU You-ming.Multiple Positive Solutions of Nonlinear Singular Two-point Boundary Value Problems in Banach Spaces[J].Journal of Mathematical Research with Applications,2006,26(1):1-8. |
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| Authors: | ZHOU You-ming |
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| Institution: | Dept. of Basic Science, Jiangsu Teachers University of Technology, Changzhou 213015, China |
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| Abstract: | In this paper, we study the nonlinear singular boundary value problems in Banachspaces:-x" = f (t, x), t ∈ (0, 1), a1x (0) - a2x' (0) = θ, b1x (1) + b2x' (1) = θ,where θ denotes the zero element of E, E is a real Banach space, and f (t, x) is allowed to be singular at both end point t = 0 and t = 1. We show the existence of at least two positive solutions of this problem. |
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| Keywords: | singular boundary value problem Banach space positive solution fixed point theorem |
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