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 Existence of $n$ positive solutions to second-order multi-point boundary value problem at resonance Bull. Korean Math. Soc. 2012 Vol. 49, No. 4, 815-827 https://doi.org/10.4134/BKMS.2012.49.4.815Published online July 1, 2012 Feng Wang and Fang Zhang Hohai University, Changzhou University Abstract : The existence of $n$ positive solutions is established for second-order multi-point boundary value problem at resonance where $n$ is an arbitrary natural number. The proof is based on a theory of fixed point index for A-proper semilinear operators defined on cones due to Cremins. Keywords : boundary value problem, positive solution, resonance, A-proper, fixed point index MSC numbers : 34B10, 34B15 Full-Text :