In this paper, we consider the multi-point boundary value problem of second-order nonlinear differential equation on a half
line,
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$\left\{{l@{\quad }l}(\phi_{p}(u'))'(t)+q(t)f(t,u(t),u'(t))=0,&0\left\{\begin{array}{l@{\quad }l}(\phi_{p}(u'))'(t)+q(t)f(t,u(t),u'(t))=0,&0
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By using a fixed point theorem due to Avery and Peterson, we show the existence of at least three positive solutions with
suitable growth conditions imposed on the nonlinear term.
Keywords Multi-point boundary value problem - Positive solution -
p-Laplacian operator - Fixed point theorem - Half line
Mathematics Subject Classification (2000) 34B18 - 34B40
Supported by National Natural Science Foundation of China (No. 10671012) and the Doctoral Program Foundation of Education
Ministry of China (20050007011).