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

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 49, Issue 4, 2012, pp.815-827
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2012.49.4.815

Title & Authors

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

Wang, Feng; Zhang, Fang;

Wang, Feng; Zhang, Fang;

Abstract

The existence of positive solutions is established for second order multi-point boundary value problem at resonance where 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

Cited by

1.

2.

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