| Multiple Positive Solutions of Nonlinear Singular Two-point Boundary Value Problems in Banach Spaces |
| Received:October 16, 2003 |
| Key Words:
singular boundary value problem Banach space positive solution fixed point theorem.
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| Fund Project:the ``Qing-Lan'' Project of Jiangsu Education Committee and the Natural Science Foundation of Jiangsu Education Committee, China (02KJD460011) |
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| Abstract: |
| In this paper , we study the nonlinear singular boundary value problems in Banach spaces: -x''=f(t,x), t∈(0,1), a1x(0)-a2x'(0)=θ, b1x(0)-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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2006.01.001 |
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