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