EXISTENCE OF n POSITIVE SOLUTIONS TO SECOND-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE

Title & Authors
EXISTENCE OF n POSITIVE SOLUTIONS TO SECOND-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE
Wang, Feng; Zhang, Fang;

Abstract
The existence of $\small{n}$ positive solutions is established for second order multi-point boundary value problem at resonance where $\small{n}$ 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;
Language
English
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