Bull. Korean Math. Soc. 2012; 49(4): 815-827
Printed July 1, 2012
https://doi.org/10.4134/BKMS.2012.49.4.815
Copyright © The Korean Mathematical Society.
Feng Wang and Fang Zhang
Hohai University, Changzhou University
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
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